*(w - 5)**3*(w + 12)/5
Let q be 1275/(-918)*(-24)/70. Let m(l) be the first derivative of -q*l**3 + 9 - 8/7*l + 25/14*l**4 - 16/7*l**2. Suppose m(i) = 0. What is i?
-2/5, 1
Let u = -844245 - -844248. Suppose 12*x**2 + 14*x - 2/3*x**u - 76/3 = 0. Calculate x.
-2, 1, 19
Let w(r) be the first derivative of -r**5 + 215*r**4/4 - 1005*r**3 + 14365*r**2/2 - 11560*r - 5246. Factor w(z).
-5*(z - 17)**2*(z - 8)*(z - 1)
Let o(m) be the first derivative of m**5/20 - m**4/12 - m**3/3 - 159*m + 28. Let l(h) be the first derivative of o(h). Let l(g) = 0. Calculate g.
-1, 0, 2
Let t = -32653 + 32653. Let z(r) be the second derivative of -1/36*r**4 + 21*r + 1/3*r**2 + 1/18*r**3 + t. Factor z(q).
-(q - 2)*(q + 1)/3
Suppose -5*o + 260 = -5*k, 7*k - 8*k - 268 = -5*o. Let x = 57 - o. Find l, given that 24*l**2 + 14*l - 12*l**5 - 57*l**x + 9*l**3 + 9*l**4 + 31*l**4 - 18*l = 0.
0, 1/3, 1
Let c = -64867/90 - -2883/4. Let l(n) be the third derivative of 36*n**2 + n**3 - 17/36*n**4 + c*n**6 + 0*n + 7/90*n**5 + 0. Factor l(f).
2*(f - 1)**2*(f + 9)/3
Factor 139*w**5 - 328*w**5 + 194*w**5 + 965*w**3 + 725*w - 8000 - 110*w**4 + 8475*w - 4220*w**2.
5*(w - 5)**2*(w - 4)**3
Let m(h) = 13*h**2 - 64. Let b(k) = k**2 - 1. Let x(l) = 4*l**2 - 17. Let u(v) = -b(v) + x(v). Let c(y) = 4*m(y) - 18*u(y). What is q in c(q) = 0?
-4, 4
Factor -6958*r - 585 - 7019*r - 7005*r - 3*r**2 + 20872*r - 2*r**2.
-5*(r + 9)*(r + 13)
Let o = -3939 - -59087/15. Let y(x) be the first derivative of -2/9*x**3 + 4/3*x - x**2 - o*x**5 + 12 + 1/2*x**4. Solve y(q) = 0.
-1, 1, 2
Let j(h) = 16*h**3 + 6*h**2 + 34*h + 9. Let p(x) = 4*x**2 - 1 + 13*x - 2*x + 6 + 7*x**3 + 6*x. Let r(q) = 6*j(q) - 14*p(q). Solve r(o) = 0.
-8, -1
Determine o so that -2/5*o**2 - 263538/5 + 1452/5*o = 0.
363
Suppose q - 22 = 5*y - 35, 0 = 5*q + 15. Suppose 4*s**5 - s**2 - 24*s - 2971 - 4*s**4 - 28*s**3 + 2971 + 53*s**y = 0. Calculate s.
-3, 0, 1, 2
Let q(h) be the first derivative of 1/3*h**2 - 1/12*h**4 + 0*h + 102 - 1/9*h**3. Suppose q(g) = 0. Calculate g.
-2, 0, 1
Suppose 0 - 81/7*p**4 + 3/7*p**5 + 249/7*p**2 - 162/7*p - 9/7*p**3 = 0. What is p?
-2, 0, 1, 27
Let i = -4640198/3 + 1546733. Let 34/3 + i*a**2 - 19/3*a = 0. Calculate a.
2, 17
Let c = 1799/44 - 348/11. Let w(y) be the second derivative of 0*y**2 - c*y**5 + 0 - 10/21*y**7 + 7/2*y**6 + 10*y**4 - 10/3*y**3 - 3*y. What is o in w(o) = 0?
0, 1/4, 1, 2
Let s be (-2 - (0 + -8))*196/(-42). Let w be (-4)/s + ((-27)/(-7) - -1). Solve 0 + 0*l**4 + 1/2*l**3 - 1/4*l**w - 1/4*l + 0*l**2 = 0.
-1, 0, 1
Let t(j) be the second derivative of j**4/12 - 128*j. Let h(l) = l**3 + 4*l**2 + 5*l - 12. Let f(k) = h(k) + 2*t(k). Factor f(m).
(m - 1)*(m + 3)*(m + 4)
Let l(u) = 3*u**2 - 8*u - 2. Let v(b) = b**3 - 25*b**2 + 64*b + 15. Let m be 32/176 - (-64)/11. Let j(y) = m*v(y) + 51*l(y). What is q in j(q) = 0?
-2, -1/2, 2
Let j = -590 - -588. Let u(t) = -16*t**2 - 230*t - 7442. Let r(z) = z**2 - z. Let l(h) = j*u(h) - 28*r(h). Factor l(q).
4*(q + 61)**2
Let s(g) be the first derivative of 1/3*g**4 - 8/27*g**3 - 7 - 8/3*g**2 + 4/45*g**5 - 32/9*g. Factor s(x).
4*(x - 2)*(x + 1)*(x + 2)**2/9
Let c(v) be the second derivative of -v**6/90 - 56*v**5/15 - 949*v**4/2 - 234476*v**3/9 - 1945085*v**2/6 + 2306*v. Let c(n) = 0. Calculate n.
-73, -5
What is n in 0 + 0*n**2 + 66/5*n**3 + 0*n - 27/5*n**4 = 0?
0, 22/9
Let y(h) = 6*h**2 - 6648*h + 1841526. Let f(o) = -8*o**2 + 8864*o - 2455367. Let t(s) = 10*f(s) + 13*y(s). Factor t(u).
-2*(u - 554)**2
Let y(v) be the second derivative of -3*v**5/100 - 4*v**4/5 - 29*v**3/10 - 21*v**2/5 + 390*v + 1. Factor y(q).
-3*(q + 1)**2*(q + 14)/5
Let f = 5 - 49. Let h(d) = -2*d**2 + d**2 - 4*d - 3*d**2 + 2 - 1 + 2*d**2. Let m(v) = 14*v**2 + 28*v - 8. Let t(y) = f*h(y) - 6*m(y). Factor t(u).
4*(u + 1)**2
Let j(x) be the second derivative of 1/7*x**3 + 0*x**2 - 1/84*x**4 + 0 - 1/10*x**6 - 16/35*x**5 - 53*x. Determine i so that j(i) = 0.
-3, -1/3, 0, 2/7
Let k(y) be the second derivative of 20/3*y**4 - 1/5*y**5 + 36*y**2 - 63*y - 74/3*y**3 + 0. Let k(w) = 0. Calculate w.
1, 18
Let x be (-2)/(-12) - (-47)/6. Suppose 0 = x*w - 10*w + 24. Let -24*a - 36*a**2 - w + 1 + 7 = 0. What is a?
-1/3
Let m(x) be the first derivative of -x**4/6 + 2*x**3 - 58*x + 7. Let w(l) be the first derivative of m(l). Factor w(j).
-2*j*(j - 6)
Factor 6*o**2 + 0 + 284/23*o - 2/23*o**3.
-2*o*(o - 71)*(o + 2)/23
What is a in -78*a**3 + 1696/5*a**2 - 32/5 - 536/5*a = 0?
-2/39, 2/5, 4
Let h(o) be the second derivative of -7*o**7/8 + 91*o**6/4 - 11079*o**5/80 + 473*o**4/4 - 65*o**3/2 + 290*o. Determine s, given that h(s) = 0.
0, 2/7, 5, 13
Suppose -3*m = m - y + 8, 2*m + 3*y = -18. Let j be ((-46)/(-14) - m)/((-4)/(-14)). Suppose -7*f**2 + 8*f**4 + j*f - 2*f**3 + f**2 - 4 - 18*f**2 = 0. What is f?
-2, 1/4, 1
Let p be ((-1)/24)/(2*7/(-42) - 3). Let j(q) be the second derivative of 1/48*q**6 + 0*q**3 + 0 + 0*q**2 + 13*q - p*q**5 + 0*q**4. Let j(b) = 0. What is b?
0, 2/5
Let u = -40 + 43. Suppose 3*h + 0*h = 9. Factor -d + u*d - 29*d**h + 25*d**3 + 2*d**5.
2*d*(d - 1)**2*(d + 1)**2
Let f(r) = 2*r**3 - 18*r**2 - 30*r + 180. Let w be f(10). Let i be (-1456)/w - -19 - (-4 - 0). Determine k, given that -i - 27/5*k - 3/5*k**2 = 0.
-8, -1
Let t = 1159/34 + -2267/68. Factor -22*h**3 - 8 - 13/2*h**4 - 28*h - 36*h**2 - t*h**5.
-(h + 2)**4*(3*h + 2)/4
Let j(d) = d**3 - d**2 - 12*d - 1. Let l(p) = p**3 + 7555*p**2 + 3557016*p - 7144197. Let z(w) = 3*j(w) + l(w). Solve z(a) = 0.
-945, 2
Let q(s) = -s**3 - 11*s**2 + s + 5. Let j be q(-11). Let b be (j/10 + 8/5)*3. Factor -6*n**2 + 8*n + 10*n - 6 - n**3 - 7*n + 2*n**b.
(n - 3)*(n - 2)*(n - 1)
Let t = -3/22348 + 3475135/156436. Let n = 159/7 - t. Factor n*w**3 - 4 + 3/2*w**2 - 3*w.
(w - 2)*(w + 1)*(w + 4)/2
Let v(j) be the second derivative of -j**6/15 - 321*j**5/10 + 161*j**4/3 - 14274*j. Find i such that v(i) = 0.
-322, 0, 1
Let o = 86/115 + -28/345. Let h(a) be the second derivative of o*a**4 - 25*a - a**3 - a**2 + 0. Let h(c) = 0. Calculate c.
-1/4, 1
Solve -291/2*f + 2169/10 + 247/10*f**2 - 1/10*f**3 = 0 for f.
3, 241
Suppose 97*z = -0*z + 194. Let k(x) be the first derivative of -4/3*x**3 + 7/8*x**4 + 21 + 0*x + 1/2*x**5 - x**z. Factor k(i).
i*(i - 1)*(i + 2)*(5*i + 2)/2
Let t be (2 - (-30674)/(-12))*30/150. Let y = t + 511. Factor -y*v**2 - 1/6*v + 0.
-v*(v + 1)/6
Let w(n) = n**3 + 11*n**2 + 12*n + 36. Let f be w(-12). Let t be 4 - (-6)/(f/138). Determine o, given that -t*o**2 + o + 1/7*o**3 - 3/7 = 0.
1, 3
Let o(s) = 7*s + 3*s + 0*s - 3*s**2. Let c be o(3). Factor 18*z**3 + 5 - 23 + 30*z - 14*z**2 - 16*z**c.
2*(z - 3)**2*(z - 1)
Let b(w) be the first derivative of 108 - 1/8*w**4 - 5/2*w**2 + 11/6*w**3 + 0*w. Factor b(z).
-z*(z - 10)*(z - 1)/2
Let k(f) be the second derivative of -3*f**7/14 - 34*f**6/5 - 1101*f**5/20 + 65*f**4/2 + 86*f - 2. Determine d so that k(d) = 0.
-13, -10, 0, 1/3
Let g = 353/61 - 911/305. Suppose w**2 + 1/5*w**3 - g*w + 0 = 0. Calculate w.
-7, 0, 2
Let k(b) = 5*b**3 - 3832*b**2 - 7910*b - 3842. Let j(r) = -60*r**3 + 45985*r**2 + 94845*r + 46105. Let l(d) = -3*j(d) - 35*k(d). Factor l(f).
5*(f - 769)*(f + 1)**2
Suppose -2*f - q + 5 = 1, 5*q = 2*f - 16. Let n(w) = 7*w - 19. Let k be n(f). Factor 45*d + k*d**3 + 17*d**3 + 5 + 60*d**2 + 7 + 11*d**3 - 3*d**5.
-3*(d - 4)*(d + 1)**4
Let z(i) = i**3 - i**2 + 3*i - 1. Let u be z(1). Let r(c) be the first derivative of 0*c**u - 1/5*c**3 + 13 + 0*c. Solve r(d) = 0.
0
Suppose 0 = 5*r + 3*i - 25, 70 = 14*i - 0*i. Let o(u) be the first derivative of -1/28*u**4 - 1/35*u**5 + 1/14*u**r + 0*u - 22 + 1/21*u**3. Factor o(y).
-y*(y - 1)*(y + 1)**2/7
Let v(l) be the second derivative of l**7/42 - 22*l**6/15 + 167*l**5/10 + 826*l**4/3 + 5425*l**3/6 + 1250*l**2 - 1602*l. Factor v(d).
(d - 25)**2*(d + 1)**2*(d + 4)
Suppose -3440 + 52*i**2 + 45*i**2 - 136*i**2 + 34*i**2 + 1730*i = 0. What is i?
2, 344
Let y(a) be the first derivative of -2/3*a**3 - 1/5*a**5 + 15 + 0*a**2 + 2/3*a**4 + 3*a. Let d(m) be the first derivative of y(m). Factor d(r).
-4*r*(r - 1)**2
Let m(n) be the third derivative of -n**8/3192 + 11*n**7/1995 + 29*n**6/1140 - 7*n**5/114 - 14*n**4/57 + 52*n**3/57 - n**2 - 137*n. Solve m(l) = 0.
-2, 1, 13
Suppose -2923 + 2985 = 5*g + 26*g. Let l(h) be the first derivative of -1/20*h**5 + 1/4*h**3 - 1/2*h - 1/8