10613 + 10616. Let y(q) be the second derivative of -2/45*q**4 + 0*q**r + 0 - 1/225*q**6 - 34*q - 1/30*q**5 + 0*q**2. Factor y(b).
-2*b**2*(b + 1)*(b + 4)/15
Determine s so that 1113/2 + 85/4*s - 1/4*s**2 = 0.
-21, 106
Let d(w) be the first derivative of w**6/135 - w**5/15 + 11*w**4/54 - 2*w**3/9 - 96*w - 156. Let r(g) be the first derivative of d(g). Factor r(y).
2*y*(y - 3)*(y - 2)*(y - 1)/9
Factor -132/5*i**2 - 112 - 552/5*i + 2/5*i**3.
2*(i - 70)*(i + 2)**2/5
Let l = -5533 - -5540. Let n(f) be the second derivative of 0*f**4 + 0*f**2 - 5/42*f**l + 0 + 0*f**6 + 1/2*f**5 - 5/6*f**3 - 13*f. Let n(d) = 0. Calculate d.
-1, 0, 1
Let d be (28/12)/(25/((-300)/(-14))). Let q = -25 - -27. Suppose q + 2*t + 1/2*t**d = 0. Calculate t.
-2
Let j(k) = -2*k**2 + 2*k - 4. Let d(p) = 4*p**2 + 2318*p - 675110. Let x(v) = d(v) + 3*j(v). Suppose x(r) = 0. Calculate r.
581
Determine c, given that -2*c**2 - 83*c + 249 + c**2 + 741 - 32 - 28 = 0.
-93, 10
Let z = 20505 - 102517/5. Factor -1/5*r**4 - z*r**2 - 4/5*r + 0 - r**3.
-r*(r + 1)*(r + 2)**2/5
Let a be 5684/609*3/7. Let i(x) be the first derivative of -x**2 - 25 + 0*x - 1/8*x**a + 5/6*x**3. Let i(q) = 0. Calculate q.
0, 1, 4
Let s(d) be the second derivative of -1/11*d**2 + 1/11*d**3 - 1/22*d**4 + 1/110*d**5 + 0 - 62*d. Solve s(g) = 0 for g.
1
Let n(a) be the second derivative of 2/9*a**4 - 1/30*a**5 - 34*a - 1/9*a**3 - 2*a**2 + 0. What is f in n(f) = 0?
-1, 2, 3
Let c(r) be the first derivative of r**3/9 - 8*r**2 + 176*r/3 + 1562. Let c(k) = 0. What is k?
4, 44
Let j(t) = 5*t**4 + 4*t**3 - 21*t**2 + 6*t - 6. Let b(l) = l**3 + l**2 - l + 1. Let w = 139 + -145. Let s(d) = w*b(d) - j(d). Let s(k) = 0. What is k?
-3, 0, 1
Let s = 237647 + -475279/2. What is m in 2*m**3 + 0 - 2*m + s*m**2 = 0?
-4, 0, 1/4
Suppose 2*f = j - 135, 2*j = 3*j + 5*f - 114. Factor -22*g**5 - j*g**5 - 45*g**5 - 16*g**4 - 131*g**4 + 35*g**4 - 16*g**3.
-4*g**3*(7*g + 2)**2
Factor -1181*l - l**2 + 5546973 + 4*l**2 + 7910799 + 6805*l + 7084*l.
3*(l + 2118)**2
Let p(k) = -169*k + 3380. Let t be p(20). Let q(y) be the third derivative of 0*y + 0*y**3 - 1/180*y**5 + t - 1/72*y**4 - 12*y**2. Factor q(s).
-s*(s + 1)/3
Let r = -64313 + 64317. Factor -3*x**3 + 3*x**2 + 3/4*x**r + 0*x + 0.
3*x**2*(x - 2)**2/4
Suppose 0 = 3*z - h + 197 - 209, -3*z + 21 = 2*h. Let g(x) be the first derivative of -3*x**4 + 2*x**3 + 0*x - z + 8/5*x**5 - 1/2*x**2. Factor g(l).
l*(2*l - 1)**3
Let d be (4/4 + -3)/(-9 + 115/15). Let z(b) be the first derivative of 0*b**4 + 1/2*b**6 + 2*b**3 - d*b**2 + 0*b - 6/5*b**5 + 11. Factor z(f).
3*f*(f - 1)**3*(f + 1)
Suppose 6*v - 1427 = 3073. Let l = -748 + v. Find w such that -4/7*w**4 + 12/7*w**3 - 6/7*w**5 - 4/7 + 8/7*w**l - 6/7*w = 0.
-1, -2/3, 1
Let k(c) be the third derivative of -1/8*c**4 - 1/3*c**3 + 1/12*c**5 - 3*c**2 + 0*c - 1. Find h, given that k(h) = 0.
-2/5, 1
Let t(h) be the second derivative of -7*h**7/6 + 7*h**6/10 + 159*h**5/10 + 43*h**4/3 + 4*h**3 - 80*h - 17. Solve t(i) = 0.
-2, -2/7, 0, 3
Let z = 280168 + -280166. Find y such that -12/7*y + 3/7*y**3 + 9/7*y**z - 36/7 = 0.
-3, -2, 2
Let o = -176728 + 176734. Let -129/8*b**2 + 33/4*b + o + 15/8*b**3 = 0. Calculate b.
-2/5, 1, 8
Suppose 4 - 31 = -2*f - 5*g, -g + 27 = 4*f. Factor 22*i**4 - 7*i**4 - 9*i**2 - f*i**4 - 6*i**4 + 6*i.
3*i*(i - 1)**2*(i + 2)
Let h(z) = -139*z - 8870. Let d be h(-64). Let p(i) be the second derivative of -d*i + 0 - 7/36*i**3 + 1/144*i**4 + 49/24*i**2. Factor p(w).
(w - 7)**2/12
Let m = 1423 - 2228. Let d = m - -15297/19. Determine p, given that -2/19*p + d*p**2 + 0 = 0.
0, 1
Suppose 0 = -3*u - 0 - 18. Let i be (2/6)/(u/(-126)). What is b in i*b**3 + 7*b**3 - b**4 - 19*b**3 = 0?
-5, 0
Let q = 94453 - 472261/5. Determine r, given that -12/5*r + 0 + q*r**2 = 0.
0, 3
Factor -96/23 + 260/23*l + 34/23*l**2.
2*(l + 8)*(17*l - 6)/23
Let t = -3 - 0. Let s be (-6)/5*-5*t/(-6). Find m, given that 1 - 10*m**5 - 10*m + 1990*m**2 - 1980*m**2 + 20*m**s - 5*m**4 - 6 = 0.
-1, -1/2, 1
Let z(l) be the first derivative of 1/2*l + 1/12*l**3 - 1/8*l**4 + 5/8*l**2 + 18. Solve z(y) = 0 for y.
-1, -1/2, 2
Suppose -4*d + 2*p + 36 = 0, 2*d - 5*d - 2*p + 41 = 0. Suppose -d*v - 15*v = -78. Factor 0 + 3/8*h - 9/8*h**2 + 3/4*h**v.
3*h*(h - 1)*(2*h - 1)/8
Let w(q) = -2*q**2 - 417*q + 9391. Let o be w(-229). Determine t, given that -2/11*t**3 - 2/11*t + 0 - 4/11*t**o = 0.
-1, 0
Let l(q) be the second derivative of -13*q**5/20 - 5*q**4/4 + 4*q**3 + 2*q**2 - 11*q + 8. Determine y so that l(y) = 0.
-2, -2/13, 1
Let z(f) be the first derivative of 1/2*f**6 + 5 - 5/3*f**3 + 0*f**2 - 18*f - 5/4*f**4 + 1/2*f**5. Let c(u) be the first derivative of z(u). Factor c(y).
5*y*(y - 1)*(y + 1)*(3*y + 2)
Let y(r) = -r**3 + 6*r**2 - 17*r + 5. Let k be y(6). Let c = -97 - k. Let c*i - 8/9*i**4 - 4/9*i**2 + 0 + 10/9*i**3 + 2/9*i**5 = 0. What is i?
0, 1, 2
Find k such that 51/2*k - 867/4 - 3/4*k**2 = 0.
17
Let t(w) = -2*w**2 + 15*w - 5. Let m be t(7). Let h be m/(4*(-4)/8)*-2. Factor 26*y**3 - 6*y**2 + 4*y - 8*y + 8*y**4 - 2*y**h - 22*y**3.
4*y*(y - 1)*(y + 1)*(2*y + 1)
Let f(t) be the second derivative of t**5/80 + 47*t**4/48 - 25*t**3/3 + 51*t**2/2 + 170*t. Suppose f(l) = 0. Calculate l.
-51, 2
Let k be (-35 - 6111/(-175))/((-2)/22*1/10). Factor -k - 4/5*p**2 + 48/5*p.
-4*(p - 11)*(p - 1)/5
Let b(g) be the third derivative of -g**5/15 + 445*g**4/3 - 396050*g**3/3 - 90*g**2 - 2*g - 2. What is s in b(s) = 0?
445
Let j be -4*(207/(-138))/(3 + 0). Let n(w) be the third derivative of -10/21*w**3 - 2/21*w**4 + 1/105*w**5 + 0*w + 0 - 4*w**j. Factor n(o).
4*(o - 5)*(o + 1)/7
Let -25*f**5 - 23*f - 9*f - 36*f**5 + 12*f**4 + 63*f**5 + 4*f**4 - 52*f**2 - 6*f**3 = 0. What is f?
-8, -1, 0, 2
Let l(f) = 16*f**2 + 32*f - 36. Let q(s) = -19*s**2 - 31*s + 36. Let j(b) = 7*l(b) + 6*q(b). Factor j(h).
-2*(h - 18)*(h - 1)
Let i(z) = 3*z**2 + 17*z - 60. Let c be i(5). Let x be c/(-40)*(-4)/35. Let 0*y - 2/7*y**5 + 0 + 2/7*y**2 + x*y**3 - 2/7*y**4 = 0. Calculate y.
-1, 0, 1
Let v(h) = -11339*h - 6*h**3 - 3*h**2 - 21 + 2*h**3 + 11361*h. Let j(l) = 4*l**3 + 2*l**2 - 24*l + 22. Let n(u) = -3*j(u) - 2*v(u). Factor n(s).
-4*(s - 2)*(s - 1)*(s + 3)
Let 18*i**3 - 1/3*i**5 + 0 - 140/3*i**2 + 4*i**4 + 25*i = 0. What is i?
-5, 0, 1, 15
Let o be (1/(-3))/((1095/45 - 19) + -6). Determine g, given that -1/2*g**2 + g - o = 0.
1
Suppose 2*r + 131 = 135. Factor 223*v**2 - 24 - 52*v + 15*v**3 + 37*v**3 - 199*v**r.
4*(v - 1)*(v + 1)*(13*v + 6)
Let d(s) be the second derivative of -s**6/15 - 17*s**5/4 - 923*s**4/12 - 133*s**3/2 + 441*s**2/2 + 2*s - 379. Determine x so that d(x) = 0.
-21, -1, 1/2
Let m(t) = 18*t - 24. Let k be m(2). Suppose -3*r = 3 - k. Solve -464*j - 2*j**r - 461*j + 933*j = 0 for j.
-2, 0, 2
Suppose 2*j + 19*j = 86646. Factor j + 2*r**3 - 4126.
2*r**3
Factor 238*a**2 - 725*a**2 - 39*a + 242*a**2 + 246*a**2 + 360.
(a - 24)*(a - 15)
Let w(z) = -2*z**2 - 49*z - 489. Let u(h) = -h**2 - h + 6. Let x(g) = -3*u(g) + 3*w(g). Suppose x(q) = 0. Calculate q.
-33, -15
Let g(m) = -14*m**2 + 61*m - 20. Let b be g(4). Let n(i) be the first derivative of 2/27*i**3 - 1/12*i**4 + b*i - 6 + 0*i**2. Determine j, given that n(j) = 0.
0, 2/3
Let f(i) = i**3 - 18*i**2 + 19*i - 20. Let z be f(17). Factor z*c**4 - 4*c**3 - 8*c**5 - 31 - 19 - 2*c**2 + 50.
-2*c**2*(c - 1)**2*(4*c + 1)
Let p(g) be the first derivative of g**6/240 + g**5/180 - g**4/144 + g**2 - 110*g - 253. Let z(m) be the second derivative of p(m). Factor z(r).
r*(r + 1)*(3*r - 1)/6
Let h be 0 - 3/1 - -3. Suppose -4*t - 14 = -5*r, 5281*r + 4*t = 5289*r - 20. What is d in -1/2*d + h + 1/4*d**r = 0?
0, 2
Let q(l) be the first derivative of l**5/15 + 5*l**4/12 - l**3/3 - 17*l**2/6 - 10*l/3 - 3521. Factor q(r).
(r - 2)*(r + 1)**2*(r + 5)/3
Let m(b) = -2*b. Let p be ((-7)/14)/((-2)/(-4)). Let c(o) = -5*o**2 + 438*o - 9680. Let d(v) = p*m(v) + c(v). Factor d(n).
-5*(n - 44)**2
Let n(u) be the third derivative of -u**5/180 - 49*u**4/36 - u**2 - 596. Find b such that n(b) = 0.
-98, 0
Let c be (-4)/(-12) - 26/6. Let z be 4/c*1 - -1211. Factor -z*q + 1206*q + 5*q**3 - q**4 - 2*q**3.
-q*(q - 2)**2*(q + 1)
Suppose -3309*m - 19605*m - 238*m**2 - 30000 - 365*m**2 - 7686*m - 3*m**3 = 0. What is m?
-100, -1
Let q be (5 - (-1 - 0))*(-340)/(-102). Let u(y) be the third derivative of 0*