*k**2 = 0. Calculate k.
-5, 2/3
Let i be (-221)/4 + 3/12. Let l = -53 - i. Factor -2*p**2 + l*p**3 + 2*p**3 - 2*p**2 + 0*p**3.
4*p**2*(p - 1)
Let r(h) be the third derivative of 0*h + 1131/40*h**5 + 0*h**3 - 50*h**2 + 39/35*h**7 + 841/96*h**4 + 13921/480*h**6 + 0 + 1/84*h**8. Factor r(k).
k*(k + 29)**2*(4*k + 1)**2/4
Let z(i) be the second derivative of -i**6/180 + 7*i**5/120 - i**4/8 - 7*i**3/36 + 5*i**2/6 + 419*i + 2. Determine u, given that z(u) = 0.
-1, 1, 2, 5
Let r be (-14)/42*39/(-26). Factor 5/2 + 3*q + r*q**2.
(q + 1)*(q + 5)/2
Let d be 19/((-152)/(-44)) - 5/2. Let y(a) be the second derivative of -14*a - 1/4*a**4 - 9/2*a**2 - 2*a**d + 0. Factor y(v).
-3*(v + 1)*(v + 3)
Let 0 + 4508/11*d**2 + 3174/11*d + 2/11*d**5 + 1432/11*d**3 + 100/11*d**4 = 0. Calculate d.
-23, -3, -1, 0
Let t be 1/5*(-251)/(-251). Let b be 2/6*(-6)/(-10). Factor 0*c**2 - b*c + t*c**3 + 0.
c*(c - 1)*(c + 1)/5
Let r = -1189/39 + 418/13. Let u(l) be the first derivative of 0*l + 49 + 5*l**2 - r*l**3. Solve u(a) = 0 for a.
0, 2
Let o(a) be the second derivative of -11*a**7/126 + 23*a**6/144 - a**5/8 - 16*a**4/3 + a**3/6 + 60*a. Let x(f) be the third derivative of o(f). Factor x(i).
-5*(4*i - 1)*(11*i - 3)
Let h be ((-5)/(-7))/(330/(-42) + 8). Let k be (h/(-8))/((-295)/1062). Solve -1/4*j**4 + 0*j - 11/2*j**2 + 8 + k*j**3 = 0 for j.
-1, 2, 4
Let d(y) = -3*y + 66. Let s be (0 + 2/(-4))*(-504)/12. Let r be d(s). Factor -8 - 23*f**2 + 8*f**2 + 24*f - 4 + 3*f**r.
3*(f - 2)**2*(f - 1)
Suppose 4*j = 18*j - 28. Determine f, given that -12*f**2 + 507 + 21*f**j - 6*f**2 - 78*f = 0.
13
Determine j so that 46/3*j + 2/3*j**2 - 16 = 0.
-24, 1
Let o(u) be the first derivative of u**8/9240 + u**7/1540 - u**5/165 + 15*u**3 + 12. Let j(y) be the third derivative of o(y). Let j(z) = 0. What is z?
-2, 0, 1
Find m, given that 102/5*m**4 + 0 + 94/5*m**3 - 98/5*m**5 - 102/5*m**2 + 4/5*m = 0.
-1, 0, 2/49, 1
Suppose 2*h - h = 0. Suppose 5 = -h*o + o. Determine y, given that 12*y**5 + o*y**4 + 3*y - 6*y + 7*y - 16*y**3 - 8*y**2 + 3*y**4 = 0.
-1, 0, 1/3, 1
Let b(n) = 4*n**3 - 24*n**2 - 5*n + 6. Let a be b(6). Let r be 8/(-12) + ((-140)/a)/5. Factor 3/2 + 1/2*u**2 - 5/2*u + r*u**3.
(u - 1)**2*(u + 3)/2
Let j(i) be the first derivative of -1/16*i**2 + 1/12*i**3 + 0*i**4 + 1/48*i**6 + 0*i + 165 - 1/20*i**5. Find k such that j(k) = 0.
-1, 0, 1
Let g(i) be the third derivative of 0 - 1/8*i**4 - 1/6*i**5 - 1/336*i**8 + 0*i - 1/10*i**6 - 1/35*i**7 - 150*i**2 + 0*i**3. Factor g(k).
-k*(k + 1)**3*(k + 3)
Let l(j) = j**2 - 1. Let b(x) = -6*x**2 + 12*x - 6. Let f = -50 + 59. Let a(w) = f*l(w) + b(w). What is p in a(p) = 0?
-5, 1
Suppose -32*y**2 + 236 + 50*y**2 - 2160*y - 14*y**2 + 3913 + 155 = 0. What is y?
2, 538
Let u = -240613 - -92635943/385. Let v = -1/55 - u. Determine w so that -1/7*w + 6/7 - v*w**2 = 0.
-3, 2
Let n(g) be the third derivative of -g**5/24 - 175*g**4/12 - 1319*g**2. Let n(s) = 0. Calculate s.
-140, 0
Let g(v) be the second derivative of -v**5/20 + 5*v**4/12 + v**3/6 - 3*v**2/2 + 52*v. Let u be g(3). Solve -u - 4*z + z**2 - 6*z**2 - 11*z + 8 = 0.
-2, -1
Let u(x) be the first derivative of 9*x**5/25 - 30*x**4 - 277*x**3/5 + 507*x**2/5 + 408*x/5 - 4702. Solve u(p) = 0.
-2, -1/3, 1, 68
Let d(v) be the second derivative of -2*v**6/15 + 22*v**5/5 - 31*v**4 + 280*v**3/3 - 136*v**2 + v - 17. Suppose d(w) = 0. What is w?
1, 2, 17
Determine k so that 7*k**2 + 54*k - 3*k**3 - 19*k**2 - 84*k**3 + 3*k**4 + 6*k**2 + 9*k**5 - 21*k**2 = 0.
-3, -1, 0, 2/3, 3
Let q(c) be the third derivative of c**11/415800 - c**9/37800 + c**7/6300 + 3*c**5/5 - 80*c**2. Let o(g) be the third derivative of q(g). Solve o(p) = 0.
-1, 0, 1
Suppose 0 = s + 7*t - 21, s + 2*t = -s + 6. Factor s*z**3 + 0*z - 1/2*z**4 - 1/2 + z**2.
-(z - 1)**2*(z + 1)**2/2
Let c be (18/(-1) + 15)/(-8 - 39/(-6)). Factor 30/11 + 2/11*r**c - 34/11*r + 2/11*r**3.
2*(r - 3)*(r - 1)*(r + 5)/11
Let j(l) be the second derivative of l**4/6 + 10*l**3/3 + 21*l**2 - 2*l - 8. Let o be j(-7). Find r such that 1/2*r**4 - r**2 + 1/2 + o*r + 0*r**3 = 0.
-1, 1
Let p(j) be the first derivative of -1 - 1/3*j**3 + 0*j + 6*j**2 - 1/480*j**5 - 1/24*j**4. Let f(q) be the second derivative of p(q). Find z such that f(z) = 0.
-4
Suppose 492/5 + 504/5*y + 3/5*y**3 + 27*y**2 = 0. What is y?
-41, -2
Factor 0 + 86/7*h + 2/7*h**2.
2*h*(h + 43)/7
Let v be 2/8 - 42/(-24). Factor -8 - 46*s - 13*s + s**2 + 0*s**v - 13 - 39.
(s - 60)*(s + 1)
Let s(z) be the first derivative of -4/3*z**3 - 68*z**2 - 132*z + 147. Solve s(r) = 0.
-33, -1
Let g(y) = -2*y + 23. Let s be g(9). Suppose 4*f = -16, -35 = -5*i + s*f + 35. Suppose 4*c**2 - 6*c - 4*c - i*c = 0. Calculate c.
0, 5
Let v(f) be the first derivative of 1/8*f**4 - 15/4*f**2 + 18 + f**3 - 19*f. Let l(a) be the first derivative of v(a). Factor l(s).
3*(s - 1)*(s + 5)/2
Let h(a) be the second derivative of 3/16*a**4 - 2 - 3*a - 65/24*a**3 + 7/4*a**2. Factor h(s).
(s - 7)*(9*s - 2)/4
Let p be (-888)/30 + 6/(-15). Let r be 1/(-5) + (p/(-25) - -2). What is f in 106*f**2 + 24*f + 8*f**r - 62*f**2 - 36*f**3 = 0?
-3/7, 0, 2
Let p be (7 - 7)/(-1*(1 - 0)). Suppose -30 = -5*l - 5*m, 14 = 4*l - m - p*m. Factor 5*u + 5*u**2 - u**2 - u**l - 17 + 2*u**3 + 14 - 7*u.
-(u - 3)*(u - 1)*(u + 1)**2
Solve -62/5*g - 28 + 2/5*g**3 + 8/5*g**2 = 0.
-7, -2, 5
Let n(t) be the third derivative of t**6/1440 - t**5/18 + 113*t**4/288 - 37*t**3/36 + 76*t**2 + 10. Factor n(j).
(j - 37)*(j - 2)*(j - 1)/12
Determine b, given that 4 + 458/3*b - 8096/9*b**2 + 3712/3*b**3 = 0.
-2/87, 3/8
Let n(h) be the third derivative of -1/15*h**5 - 183*h**2 + 0 + 13/6*h**4 - 13/30*h**6 + 8/105*h**7 + 0*h - 2*h**3. Determine m so that n(m) = 0.
-1, 1/4, 1, 3
Let o be (22 + -25)/((-9)/6). Factor -3*w**2 - 144*w - w**o + 220 - 587 - 929.
-4*(w + 18)**2
Determine r so that 15*r + 2*r**4 - 9*r**2 + r**4 + 0*r**4 + 0*r**4 + 475*r**3 - 6 - 478*r**3 = 0.
-2, 1
Let p(o) be the third derivative of -o**6/120 + o**5/4 - 3*o**4/2 - 2*o**2 + 5. What is m in p(m) = 0?
0, 3, 12
Let q = 26486 - 105273/4. Let g = q - 164. Determine w, given that g*w**2 + 5/4 + 15/4*w + 5/4*w**3 = 0.
-1
Let h(k) be the second derivative of -1 - 4*k + 8/9*k**2 - 44/27*k**3 + 121/108*k**4. Factor h(p).
(11*p - 4)**2/9
Suppose -v - 2040 = -7*d + 3*d, -v = 0. Let n be 4/18 + d/135. Find u, given that 24*u**3 - 25*u**2 - 6*u**5 - 11 - 9*u**n - 1 + 64*u**2 = 0.
-2, -1, 1/2, 2
Suppose -3*l + l = -88. Let d(f) = -f**2 + 2*f + 3. Let z be d(0). Let 16*s**2 - 39*s**3 + l*s + 24 + 70*s**z - 35*s**3 = 0. Calculate s.
-1, 6
Suppose -5*v + 4 = -21. Suppose 8*p - 3*p = -v*r + 80, 0 = 2*r + 4. Factor 4*m**3 + 10*m**2 + p*m**2 - 24*m**2.
4*m**2*(m + 1)
Let w be 0/(-6) - (3 + 30). Let n = w - -36. Suppose 30*a**2 + 3*a**n - 18*a**3 - 12 + 29*a**2 - 12*a - 20*a**2 = 0. Calculate a.
-2/5, 1, 2
Suppose 5*j + 17 = -a, 3*a - 4*j + 2*j - 17 = 0. Suppose -m - 4 = -5*m, 0 = w + m - 5. Factor w*c**3 - 5*c**5 - 7*c**5 + 9*c**4 + 5*c**3 - 6*c**a.
-3*c**3*(c - 1)*(4*c + 1)
Let o(k) be the first derivative of k**4/5 - 196*k**3/3 + 484*k**2/5 + 1952*k/5 + 3067. Find p such that o(p) = 0.
-1, 2, 244
Let v be (-2)/(-9) + 22096/12429. Factor -24/7*o**v + 0*o**3 + 0*o + 48/7 + 3/7*o**4.
3*(o - 2)**2*(o + 2)**2/7
Determine u, given that 102*u**2 + 104*u + 2*u**3 + 1531021 - 1529771 + 1246*u = 0.
-25, -1
Suppose 0 = s - 0*j + j, 2*s + 5*j = -9. Let 155*n + 4*n**2 + 8*n**3 + 6 - 144*n - 9*n**s = 0. Calculate n.
-1, 6
Let x = 1671 + -1671. Let g(u) be the first derivative of 3 + x*u + 0*u**2 - 1/2*u**3. Suppose g(p) = 0. What is p?
0
Let n(t) = 2*t**2 + 4. Let j(q) = -2*q**2 + q - 5. Suppose 25*y - 33*y = 240. Let z be y/6 - -1*1. Let w(i) = z*j(i) - 5*n(i). Solve w(v) = 0 for v.
-2, 0
Let j(y) be the third derivative of 0*y + 1/540*y**5 + 0 + 29/216*y**4 + 60*y**2 + 14/27*y**3. Factor j(a).
(a + 1)*(a + 28)/9
Let t be 14*(10 - (-296)/(-32)). Factor 45/4*u + 3/4*u**2 + t.
3*(u + 1)*(u + 14)/4
Let m be 804/536*(3/(-45))/((-3)/10). Factor -20/3*p - m*p**2 - 19/3.
-(p + 1)*(p + 19)/3
Suppose -570 = -29*a + 19*a. Factor 140 - 12*i + 12*i**3 - 8*i**2 - 73 - 2*i**4 - a.
-2*(i - 5)*(i - 1)**2*(i + 1)
Let t = -266 - -268. Suppose -24*r - 13 - 4*r**t - 8*r - 2 - 37 + 4 = 0. Calculate r.
-6, -2
Let g(v) be the second derivative of 0 + 3/140*v**5 + 5/28*v**4 +