-3*j**2*(j - 2)*(j + 1)**2
Let d be (-606)/4*42/(-25893). Let q = d + 12/137. Factor 0 - q*y**5 - 6*y**3 + 20/3*y**2 - 8/3*y + 7/3*y**4.
-y*(y - 2)**3*(y - 1)/3
Let n be (-2)/(-14)*(4*150/4 - 0). Factor n - 150/7*x**2 + 6/7*x - 6/7*x**3.
-6*(x - 1)*(x + 1)*(x + 25)/7
Let c(f) be the first derivative of -24 - 9/2*f**2 + 1/3*f**3 - 36*f. Factor c(l).
(l - 12)*(l + 3)
Suppose 7*b = 12*b + 25, 2*r - 5*b = 43. Let c be r/(-6) + 49/14. Factor 2/5*g + 6*g**3 - 14/5*g**c - 26/5*g**4 + 8/5*g**5 + 0.
2*g*(g - 1)**3*(4*g - 1)/5
Suppose 1037*d = 1042*d - 0 - 15. Let p(b) be the third derivative of 2/27*b**4 + 1/90*b**6 - 2/45*b**5 - 21*b**2 + 0*b**d + 0 + 0*b - 1/945*b**7. Factor p(i).
-2*i*(i - 2)**3/9
Let v be 10*132/55 - (-4)/(-1). Let 16*o**4 - v*o**3 + 61802*o**2 + 4*o**5 - 61802*o**2 = 0. Calculate o.
-5, 0, 1
Let u(c) be the first derivative of c**4/4 + 10*c**3/3 + 17*c**2/2 - 28*c + 1068. Suppose u(l) = 0. Calculate l.
-7, -4, 1
Let m = 21882 - 21880. Factor 4/3 + 2*a + 2/3*a**m.
2*(a + 1)*(a + 2)/3
Let k(u) = -9*u**4 - 23*u**3 + u**2 + 5*u - 5. Let m(s) = -5*s**4 - 11*s**3 + 2*s - 2. Let j = 24 - 22. Let p(z) = j*k(z) - 5*m(z). Factor p(b).
b**2*(b + 1)*(7*b + 2)
Let r(w) = w**5 + w**4 - w**3 - 3*w**2 - 3*w - 1. Let h(f) = -8*f**5 - 8*f**4 + 14*f**2 + 35*f + 21. Let k(b) = 4*h(b) + 36*r(b). Determine i so that k(i) = 0.
-2, -1, 1, 3
Suppose 67 - 109 = -21*y. Let 4*z**3 - 9*z + 13550*z**2 - 4 - 10*z - 13561*z**y = 0. Calculate z.
-1, -1/4, 4
Let l(y) be the second derivative of y**4/9 - 28*y**3/9 - 190*y**2/3 - 6*y - 4. Factor l(k).
4*(k - 19)*(k + 5)/3
Let y(c) = -c**2 + 4*c + 10. Let w be y(5). Find z such that -6*z - 3873 - 7*z**w - 19*z**2 + 13*z**3 + 3873 + 19*z**4 = 0.
-1, -2/7, 0, 1, 3
Let y(w) be the third derivative of -5*w**8/336 - 43*w**7/210 - 9*w**6/40 + 223*w**5/60 + 16*w**4/3 - 14*w**3 + 111*w**2 - 5. Find d, given that y(d) = 0.
-7, -3, -1, 2/5, 2
Let j(w) be the second derivative of 49*w**5/16 - 355*w**4/48 + 55*w**3/12 - 2*w - 9709. Let j(u) = 0. Calculate u.
0, 22/49, 1
Let g(v) be the third derivative of v**6/40 + 6*v**5/5 - 1024*v**3 + 3663*v**2. Factor g(l).
3*(l - 8)*(l + 16)**2
Let u(j) = j**3 + 13*j**2 + 13*j + 17. Let h be u(-12). Factor 18 + 0 + 4 - h*w**2 + 3*w**2 - 6*w + 14.
-2*(w - 3)*(w + 6)
Let q(m) be the first derivative of 0*m**2 - 2/3*m**3 - 13 - 5*m + 1/12*m**4. Let a(x) be the first derivative of q(x). Let a(p) = 0. Calculate p.
0, 4
Let z(s) = 3*s - 33. Let v be z(-7). Let t = v + 98. Let -7*c**3 + 28*c + 90*c**2 - 44*c - 18*c**3 - t*c - 40 = 0. What is c?
-2/5, 2
Suppose 225*y - 215*y - 40 = 0. Let 6*h + 33*h**4 + 32*h**4 - 6*h**3 - 62*h**y + 0*h**2 - 3*h**2 + 0*h**2 = 0. What is h?
-1, 0, 1, 2
Let i(d) be the second derivative of -5*d**7/42 + d**6/3 + 11*d**5/4 - 5*d**4 + 282*d - 3. Suppose i(f) = 0. Calculate f.
-3, 0, 1, 4
Let l(x) = -5 + 14 - 13*x**2 - 3 + 7*x. Let o(i) = -7*i**2 + 4*i + 3. Let d(v) = 6*l(v) - 11*o(v). Suppose d(u) = 0. What is u?
-3, 1
Let r(h) = 7*h + 48 - 6*h**2 + 0*h**2 + 7*h + 7*h**2. Let n be r(-6). Determine d so that 0*d + 1/4*d**4 - 1/2*d**3 + n + 1/4*d**2 = 0.
0, 1
Determine y so that 1/2*y**2 + 2967048 + 2436*y = 0.
-2436
Let i(y) be the second derivative of -7/12*y**4 + 0 + 5/2*y**2 - 1/3*y**3 + 85*y. Suppose i(h) = 0. Calculate h.
-1, 5/7
Let l be (12/(-3))/((-20)/600). Let z be 20 + (-2660)/l + (-10)/(-4). Factor -z*h**2 - 2 - 7/3*h.
-(h + 1)*(h + 6)/3
Let z(j) be the second derivative of -1/40*j**5 + 0 - 17/8*j**4 + 17*j - 4913/4*j**2 - 289/4*j**3. Factor z(i).
-(i + 17)**3/2
Let c = -1717271/366 + 4692. Let b = c - -121/366. Determine p, given that b*p**3 + 2/3 + 5/3*p + 4/3*p**2 = 0.
-2, -1
Let b(u) be the first derivative of -u**4 + 168*u**3 - 8184*u**2 + 30752*u - 2785. Factor b(y).
-4*(y - 62)**2*(y - 2)
Let a(o) be the first derivative of -o**7/42 - o**6/15 + o**5/5 + o**4/6 - o**3/2 - 105*o - 16. Let s(q) be the first derivative of a(q). Solve s(m) = 0 for m.
-3, -1, 0, 1
Let y(l) be the third derivative of 39*l**8/392 - 124*l**7/245 + 37*l**6/105 + 211*l**5/105 - 265*l**4/84 - 50*l**3/21 + 114*l**2 - 5*l. What is b in y(b) = 0?
-1, -2/13, 1, 5/3
Factor -612/13 - 80/13*y**2 + 426/13*y + 2/13*y**3.
2*(y - 34)*(y - 3)**2/13
Let u(s) be the third derivative of s**6/900 + s**5/75 + s**4/15 - 13*s**3/3 - 4*s**2. Let j(a) be the first derivative of u(a). Find p, given that j(p) = 0.
-2
Let m = 375275 + -375273. Factor 46*j**m + 1/3*j**3 + 97336/3 + 2116*j.
(j + 46)**3/3
Let h(s) be the second derivative of 4*s**7/7 - 242*s**6/105 + 53*s**5/35 + 18*s**4/7 - 40*s**3/21 - 16*s**2/7 + 15*s - 37. Solve h(r) = 0.
-1/2, -2/7, 2/3, 1, 2
Let k = -9 - -7. Let s be (k + -2)*(-8)/16. Factor -4*p**2 - 7*p**2 + 5*p**3 - p**2 - 8*p**s + 20*p.
5*p*(p - 2)**2
Let h(x) be the third derivative of 1/1155*x**7 - 7/33*x**3 + 1/165*x**6 - 124*x**2 + 0 - 3/55*x**5 + 0*x + 5/33*x**4. Factor h(c).
2*(c - 1)**3*(c + 7)/11
Let m(v) = 17*v**2 - 17*v + 3. Let z be m(1). Suppose 2*q - y = -3*q + z, -3 = 5*q + y. Factor h - 1/2*h**4 + q*h**3 + 3/2*h**2 + 0.
-h*(h - 2)*(h + 1)**2/2
Suppose 2848*m - 4*m**4 - 268*m - 1076*m**2 - 256*m + 124*m**3 + 3528 = 0. Calculate m.
-1, 7, 18
Let m be (1748/56810)/(-1 + 192/190). Solve -m*l**3 - 18/13*l**5 - 44/13*l**2 - 16/13 + 56/13*l + 60/13*l**4 = 0 for l.
-1, 2/3, 1, 2
Solve 13 - 18*d**2 - 73 + 178*d - 6 - 31*d - 62*d - d**3 = 0.
-22, 1, 3
Suppose -4*d - 2 = -2*o - 6, o + d = 4. Factor -2*u - 117*u**2 - 121*u**2 + 246*u**o - 2*u**3 - 8 + 4*u.
-2*(u - 4)*(u - 1)*(u + 1)
Factor -261 + 10*n + 1/4*n**2.
(n - 18)*(n + 58)/4
Let h = -294 + 296. Factor 32*n**5 - 16*n**5 - 19*n**5 + 60*n**h - 24*n - 53*n**3 - n**3 + 21*n**4.
-3*n*(n - 2)**3*(n - 1)
Suppose 2701 - 2702 = -5*y + q, -3*q + 29 = y. Find a, given that 0*a**y + 0 + 2/9*a**4 + 2/9*a**3 + 0*a = 0.
-1, 0
Determine o, given that -2/5*o**2 - 242/5*o - 1596/5 = 0.
-114, -7
Let n be 2480/95*18/60. Let w = -126/19 + n. Let 9/5*b + w + 3/5*b**2 = 0. What is b?
-2, -1
Let o(i) be the first derivative of 150*i**2 - 35/6*i**6 - 235/4*i**4 - 36*i**5 - 116 + 40*i + 110/3*i**3. Let o(g) = 0. What is g?
-2, -1/7, 1
Let g be (4 - -3 - 3)*(1 + 0). Let i be 14/g + 33/(-66). Determine y, given that 9/5*y**4 + 3/5*y**5 + 21/5 - 66/5*y**i + 114/5*y**2 - 81/5*y = 0.
-7, 1
Let t(y) be the second derivative of 0*y**2 - 11*y - 1/54*y**5 - 1/540*y**6 + 17/6*y**3 + 2/27*y**4 + 0. Let v(r) be the second derivative of t(r). Factor v(h).
-2*(h + 4)*(3*h - 2)/9
Factor 7/3*c**3 - 12*c**2 + 5/3*c + 0.
c*(c - 5)*(7*c - 1)/3
Let j(d) be the second derivative of 0*d**2 - 44*d - 1/60*d**6 + 0 + 1/12*d**4 + 0*d**3 + 1/40*d**5. Suppose j(v) = 0. Calculate v.
-1, 0, 2
Let q = -205155 - -205158. Factor -1/4*l**4 - l**3 + q*l + 1/2*l**2 - 9/4.
-(l - 1)**2*(l + 3)**2/4
Let l = -18706 - -74827/4. Factor -1/2*q**4 + l*q + 2*q**2 + 3/4*q**3 + 0.
-q*(q - 3)*(q + 1)*(2*q + 1)/4
Let y = 51 - 48. Factor -33951*r + 33951*r + 3*r**y + 12*r**2.
3*r**2*(r + 4)
Solve 1032*w - 875923*w**2 + 7232*w + 875925*w**2 - 592*w + 7357448 = 0.
-1918
Let h be ((-4)/6 + 0)*-3. Let x be (4/10)/((-130)/(-25) - 5). Factor 3*l**2 + h*l**2 - 4*l + 11*l**x.
4*l*(4*l - 1)
Let b be ((19 - (-4389)/(-190)) + 4)/(1/(-2)). Determine u, given that -b*u**4 + 1/5*u**2 + 0 + 0*u + 0*u**3 = 0.
-1, 0, 1
Let k(p) = -2*p - 17*p - 6*p**2 + p**2 + 7. Let c(u) = 3*u**2 + 13*u - 5. Suppose -5 = -4*j - 25. Let m(t) = j*k(t) - 7*c(t). Find z such that m(z) = 0.
-1, 0
Let b(p) = 2*p**2 - 18*p + 41. Let h be b(3). Let o be (h - (-4 - 9))*4. Let -9*l**4 - o*l**2 - 1/2*l**5 - 97/2*l**3 - 32*l + 0 = 0. Calculate l.
-8, -1, 0
Factor 276*o + 2748/5 + 3/5*o**2.
3*(o + 2)*(o + 458)/5
Let k be -3 + 114/36 - ((-497)/42)/1. Let q(v) be the first derivative of 3*v**3 - k*v - 18 - 3/4*v**4 + 0*v**2. What is r in q(r) = 0?
-1, 2
Let y(z) = -14*z**2 + 7*z + 12. Let l(m) be the second derivative of 6*m**4 - 6*m**3 - 30*m**2 + 2*m - 1. Let o(w) = 3*l(w) + 16*y(w). Solve o(i) = 0 for i.
-1, 3/2
Let l(j) be the first derivative of -11/30*j**5 - j**2 + 3/8*j**4 + 1/12*j**6 - 219 + 2/3*j + 7/18*j**3. Determine p so that l(p) = 0.
-1, 2/3, 1, 2
Suppose 0 = -27*k + 29*k - 4. Suppose 5*r - 6*r = -k*x - 10, 4*r + x = 13. Let 8*o**2 + 16*o**3 + 10*o**2 - o**r + 0*o**4 - 82*o**2 = 0. What is o?
0, 8
Let t = 3901/11433 + -30/38