ative of m**3/15 + 14*m**2/5 + 196*m/5 + 177. Factor j(o).
(o + 14)**2/5
Let w = 2152 + -27972/13. Determine c so that 0 + 6/13*c**3 + 0*c - w*c**2 - 2/13*c**4 = 0.
0, 1, 2
Let -32/9*c**4 + 0*c - 154/9*c**3 + 0 - 196/9*c**2 - 2/9*c**5 = 0. What is c?
-7, -2, 0
Let c(o) be the second derivative of -o**8/2240 - o**7/280 + o**5/10 - 3*o**4/4 - 11*o. Let f(r) be the third derivative of c(r). Factor f(k).
-3*(k - 1)*(k + 2)**2
Suppose 14*u = -19 + 47. Let q be 1898/273 - (32/14 - u). Solve -25/3*z + 20/3*z**4 + 5/3*z**5 + q*z**3 - 10/3 - 10/3*z**2 = 0 for z.
-2, -1, 1
Factor -1152/5 + 4/5*l**3 - 104/5*l**2 + 768/5*l.
4*(l - 12)**2*(l - 2)/5
Solve -15*t**5 - 10*t**4 + 11*t**4 - 3*t**4 + 11*t**4 = 0 for t.
0, 3/5
Suppose -g - d + 17 = 0, 0*d = 5*g + 3*d - 91. Suppose 5*t = 4*q + q + g, -q - 16 = -4*t. Factor -3*f**4 - 12*f**2 - 12*f**3 + 25*f - 29*f - f**t.
-4*f*(f + 1)**3
Let w be 76/20 - 2/(-10). Let x = -15/4 + w. Determine k, given that -1/4 + x*k**2 + 0*k = 0.
-1, 1
Determine k, given that -6/7*k**4 - 2382/7*k**2 - 2904/7 + 36*k**3 - 792*k = 0.
-1, 22
Let t(l) = 12*l**2 + 638*l + 8098. Let m(b) = 4*b**2 + 213*b + 2699. Let q(u) = -14*m(u) + 5*t(u). Factor q(p).
4*(p + 26)**2
Let k be (-21)/(-9)*30/21. Let n be 448/120 + (-24)/10 + 2. Suppose -l**5 - n*l**4 + 5/3*l + 2/3 - k*l**3 + 0*l**2 = 0. Calculate l.
-1, 2/3
Let k = -2125 + 2128. Factor 0 - 2/19*w**2 - 2/19*w**k + 2/19*w + 2/19*w**4.
2*w*(w - 1)**2*(w + 1)/19
Let u(a) be the third derivative of a**8/448 - 23*a**7/280 + 19*a**6/16 - 329*a**5/40 + 833*a**4/32 - 343*a**3/8 + 3*a**2 + 4*a. Factor u(q).
3*(q - 7)**3*(q - 1)**2/4
Let o(j) be the third derivative of 0*j - 1/15*j**5 + 0 - 10*j**2 - 8/3*j**3 - 2/3*j**4. Factor o(z).
-4*(z + 2)**2
Let y(v) be the first derivative of -3*v**5/10 - 3*v**4/4 + 7*v**3/2 - 3*v**2 - 161. What is c in y(c) = 0?
-4, 0, 1
Suppose -6*b**3 - 3491*b**2 + 0*b**3 + 3482*b**2 - 4*b - b**4 = 0. Calculate b.
-4, -1, 0
Let f(p) be the second derivative of 0 + 0*p**5 - 1/360*p**6 + 1/18*p**4 + 2*p + 0*p**3 - 11/2*p**2. Let j(q) be the first derivative of f(q). Factor j(a).
-a*(a - 2)*(a + 2)/3
Let z(g) = 4*g**3 - 32*g**2 - 108*g - 100. Let a(l) = 2*l**3 + l**2 - l - 1. Let t(y) = -4*a(y) + z(y). Factor t(q).
-4*(q + 2)*(q + 3)*(q + 4)
Let y be (-1 - 24/(-40))*-3. Find o such that 6/5*o**4 + 0 + y*o**3 + 0*o + 2/5*o**2 + 2/5*o**5 = 0.
-1, 0
Let z(u) be the second derivative of -5/9*u**3 - 5/36*u**4 + 0 - 5/6*u**2 - 11*u. Factor z(x).
-5*(x + 1)**2/3
Let r(k) = -k + 17. Let m be r(9). Let l = 3 - 1. Determine p, given that 4*p**2 - m*p**l + p**2 = 0.
0
Suppose 2*a = a - 4*p - 14, 3*a - 18 = 3*p. Let -a*o**3 - 11*o + 4*o**2 + 29*o + 16*o**2 + 4*o**3 = 0. What is o?
-9, -1, 0
Let k(g) = -2*g - 2. Let f be k(-2). Suppose s + 8 = f*s - l, 4*l = 0. Let 8*v - s*v**2 + 11*v**2 - 5*v**2 - 8 = 0. Calculate v.
2
Let s(p) = 8*p**3 + 477*p**2 + 19182*p + 18718. Let d(i) = -i**3 + 3*i + 1. Let o(q) = 5*d(q) + s(q). Factor o(z).
3*(z + 1)*(z + 79)**2
Let y(t) be the second derivative of 0*t**2 - 1/2*t**3 - 1/20*t**5 + 1/3*t**4 + 0 - 19*t. Factor y(k).
-k*(k - 3)*(k - 1)
Let b(t) = 3*t**2 - 5*t - 8. Let w(j) = -3 + j**2 + 5 - 4*j**2 + 7 + 6*j. Suppose 13 = 2*i + 1. Let r(a) = i*b(a) + 5*w(a). Determine q, given that r(q) = 0.
-1, 1
Let g(x) be the third derivative of -x**10/20160 - x**9/3360 - x**8/2240 - 13*x**4/24 - 6*x**2. Let q(o) be the second derivative of g(o). Factor q(b).
-3*b**3*(b + 1)*(b + 2)/2
Let p(i) be the first derivative of -2*i**3/3 - 21*i**2 + 44*i - 286. Factor p(u).
-2*(u - 1)*(u + 22)
Let b = 951 - 945. Let p(u) be the second derivative of 0*u**2 - 1/3*u**3 - 8*u + 1/4*u**4 - 1/30*u**b + 0*u**5 + 0. Solve p(s) = 0 for s.
-2, 0, 1
Let n(c) be the first derivative of c**6/36 - 7*c**5 + 735*c**4 - 41160*c**3 + 1296540*c**2 - 21781872*c + 62. Factor n(r).
(r - 42)**5/6
Let l(b) be the first derivative of b**6/72 + b**5/6 - 25*b**4/24 + 5*b**3/3 - 8. Let c(v) be the third derivative of l(v). Suppose c(o) = 0. What is o?
-5, 1
Let -40*k**3 - 23/3*k**4 + 0 - 1/3*k**5 + 48*k**2 + 0*k = 0. Calculate k.
-12, 0, 1
Let 45 + 21*g**3 - 57*g**3 - 25*g**2 - 15*g + 31*g**3 = 0. Calculate g.
-3, 1
Let c be 20/234*(-78 - -96). Solve 2/13*d**4 + c*d + 24/13*d**2 + 6/13 + 12/13*d**3 = 0.
-3, -1
Factor -18/7*t**2 - 9/7*t**3 + 3/7*t**4 - 72/7 + 12*t.
3*(t - 2)**3*(t + 3)/7
Let k(s) = -2*s**3 - 1. Let v(i) = -18*i**3 + 50*i**2 - 10. Let l(b) = 10*k(b) - v(b). Find o, given that l(o) = 0.
-25, 0
Let x(f) = -f**2 + 20. Let i be x(4). Suppose 3*u - i = 5. Solve 1/2*h**4 + 9/2*h**2 + 7/2*h + 1 + 5/2*h**u = 0.
-2, -1
Suppose -2*p + 408 = 5*r - 4*p, -2*p + 392 = 5*r. Solve -41*q**4 - 29*q - r*q**2 - q**5 - 16*q - 10 + 11*q**4 - 70*q**3 - 4*q**5 = 0.
-2, -1
Suppose 4*t - 6 = t. Suppose 0 = 53*c - 78*c + 75. Factor 2/3*i**t - c + 4*i - 1/3*i**4 - 4/3*i**3.
-(i - 1)**2*(i + 3)**2/3
Let g be 8/10*(-30 + 1025/34). Suppose 12/17*v**2 + g*v**3 + 0 + 10/17*v = 0. Calculate v.
-5, -1, 0
Factor -8/15*u + 2/5*u**2 - 2/15*u**4 + 4/15*u**3 - 8/15.
-2*(u - 2)**2*(u + 1)**2/15
Let u(a) = -8*a**3 - a**2 - 2*a. Let x be u(-2). Let f be 1/2 + 0 - (-96)/x. Factor -2/11*l**3 + 2/11*l**f + 0 + 0*l.
-2*l**2*(l - 1)/11
Let h(v) = v**3 + 6*v**2 + 9*v - 4. Let a be h(-4). Let b be 6*a/(-36)*3. Suppose b*n + n**2 - 9*n**3 + n**3 + 3*n**2 = 0. Calculate n.
-1/2, 0, 1
Let i(s) = s**2 + s. Let p(r) = -4*r**2. Let u(o) = -i(o) - p(o). Let k be u(-1). Find j such that -j**5 - 2*j**5 - j**5 - 4*j**k = 0.
-1, 0
Let v(a) = a**3 + 33*a**2 + 10*a - 704. Let n be v(-32). Solve n*m - 1/4*m**2 + 0 = 0.
0
Let x(j) be the third derivative of -1/210*j**7 - 1/3*j**3 + 1/24*j**4 + 0*j - 5*j**2 - 1/120*j**6 + 0 + 1/20*j**5. Factor x(k).
-(k - 1)**2*(k + 1)*(k + 2)
Let c = -2504 - -20033/8. Factor -3/8*h**2 - 1/8 - 3/8*h - c*h**3.
-(h + 1)**3/8
Determine n so that -4/7*n**3 - 36/7*n + 24/7*n**2 + 16/7 = 0.
1, 4
Suppose 4*d - 19 = 3*d - 4*v, -8 = -4*d + v. Find t such that -7*t + 28*t**4 - 12*t**4 + 24*t**2 + 3*t - 138*t**d + 102*t**3 = 0.
0, 1/4, 1
Let w(c) be the third derivative of c**6/300 - c**5/75 - c**4/20 - 406*c**2. Solve w(v) = 0.
-1, 0, 3
Let y(l) be the second derivative of l**8/4200 + l**7/525 + l**6/300 - 7*l**3/2 + 14*l. Let k(c) be the second derivative of y(c). Factor k(s).
2*s**2*(s + 1)*(s + 3)/5
Let l(b) be the second derivative of 1/42*b**7 - 1/12*b**4 - 1/20*b**5 + 1/30*b**6 + 0 + 0*b**3 + 0*b**2 - 15*b. Factor l(p).
p**2*(p - 1)*(p + 1)**2
Let 84*b - 2/3*b**2 - 2646 = 0. What is b?
63
Let k(u) = -u + 15. Suppose 0 = 4*d - 2*r - 46, 0 = -4*d + 6*d - 5*r - 19. Let p be k(d). Determine x so that -4/3*x**p + 0 + 2/3*x - 2/3*x**2 = 0.
-1, 0, 1/2
Let 8/3*k - 2/9*k**4 - 2 - 8/9*k**3 + 4/9*k**2 = 0. Calculate k.
-3, 1
Let s(d) be the second derivative of -5/12*d**4 + 5/2*d**3 - 6*d + 10*d**2 + 0. Factor s(g).
-5*(g - 4)*(g + 1)
Let j(u) = -4*u**5 + 33 + 3*u**5 - 32. Let i(v) = 9*v**5 + 20*v**4 + 30*v**3 + 20*v**2 + 5*v - 4. Let l(a) = i(a) + 4*j(a). Factor l(c).
5*c*(c + 1)**4
Suppose -2*b + 2 + 2 = 0. Suppose 2*f + 0*x - 12 = -2*x, -b*f - 6 = -4*x. Suppose -3 + f - 2*y - 2*y**3 - 4*y**2 + 0 = 0. Calculate y.
-1, 0
Let s = -13073/5 + 2615. Factor -4/5*d - s*d**2 + 0.
-2*d*(d + 2)/5
Let i be 5/10*2/120. Let w(j) be the third derivative of -i*j**5 + 0*j**3 + 0 + 0*j**4 + 0*j - 1/240*j**6 - 4*j**2. Find a such that w(a) = 0.
-1, 0
Factor -282/5*p**2 + 18/5*p**4 - 288/5*p - 96/5 - 78/5*p**3 + 6/5*p**5.
6*(p - 4)*(p + 1)**3*(p + 4)/5
Let i(j) = -7*j - 3*j**2 + 5*j + 2*j**2. Let s(n) = 2*n**2 + 6*n. Let c(z) = -8*i(z) - 3*s(z). Solve c(g) = 0.
0, 1
Let a(f) be the third derivative of -f**7/840 - 17*f**6/240 + f**5/240 + 17*f**4/48 + 2*f**2 + 135*f. Determine j so that a(j) = 0.
-34, -1, 0, 1
Let g(p) = p**3 + p**2 + 14*p + 26. Let h(z) be the second derivative of -5*z**3/2 - 25*z**2/2 - 8*z. Let w(q) = -5*g(q) - 6*h(q). Factor w(n).
-5*(n - 2)*(n + 1)*(n + 2)
Let k(p) be the third derivative of -p**8/1176 + 11*p**7/735 - 23*p**6/210 + 3*p**5/7 - 27*p**4/28 + 9*p**3/7 - 50*p**2. What is s in k(s) = 0?
1, 3
Let g(b) be the first derivative of -3*b**5/40 + 9*b**4/32 + 3*b**3/4 - 3*b**2/2 - 248. Factor g(h).
-3*h*(h - 4)*(h - 1)*(h + 2)/8
Factor -24/11 + 2/11*n + 2/11*n**2.
2*(n - 3)*(n + 4)/11
Let t(h) be the third derivative of