vative of -t**5/60 - 17*t**4/4 - 867*t**3/2 - 44217*t**2/2 - 74*t - 2. Factor q(b).
-(b + 51)**3/3
Let z = -64 + 66. Factor 245 + 70*b - 26*b**2 + 14*b**z + 17*b**2.
5*(b + 7)**2
Let l(m) be the second derivative of m**4/42 - 5*m**3/21 - 24*m**2/7 + 79*m. Factor l(d).
2*(d - 8)*(d + 3)/7
Let f = -30 + 35. Suppose -f*a - 3*j = -7, 0 = 5*a + 5*j - 0*j - 5. Find g such that -2/3*g**2 - 4/3 + a*g = 0.
1, 2
Let h = -34 + 59. Solve 6*w**2 + h - 11*w**2 - 2*w + 22*w = 0.
-1, 5
Let y(a) be the second derivative of -a**6/240 + a**5/32 - a**4/32 - 5*a**3/48 + a**2/4 + 28*a - 3. Solve y(f) = 0.
-1, 1, 4
Let v(u) = u**5 + u**4 + u**3 + u**2 + 3*u. Let s(j) = 2*j**5 + 46*j**4 + 114*j**3 + 122*j**2 + 46*j + 12. Let p(q) = s(q) + 6*v(q). Factor p(n).
4*(n + 1)**3*(n + 3)*(2*n + 1)
Let x(w) = -5*w**4 + 2*w**3 - 2*w. Let v(g) = 13*g**4 - 5*g**3 + 5*g. Let i(d) = 4*v(d) + 10*x(d). Factor i(b).
2*b**4
Let 21*w**3 - 4107 + 10*w**3 - 4329*w - 225*w**2 + 14*w**3 - 48*w**3 = 0. Calculate w.
-37, -1
Let j(o) = -801*o + 54684. Let d(a) = -a**2 + 804*a - 54681. Let t(c) = 3*d(c) + 2*j(c). Factor t(f).
-3*(f - 135)**2
Let s(v) be the first derivative of -v**6/240 + v**5/40 + v**4/48 - v**3/4 + 9*v**2 + 16. Let j(q) be the second derivative of s(q). Factor j(g).
-(g - 3)*(g - 1)*(g + 1)/2
Factor 56*w + 24 - 48*w + 4*w**3 + 44*w**2 + 68*w + 12.
4*(w + 1)**2*(w + 9)
Let w = -2 + 2. Let n be (w - 2)/(9/(-18)). Factor 4*m**3 - 7*m**3 - n*m + 7*m.
-3*m*(m - 1)*(m + 1)
Let u(q) = -q - 4. Let i be u(-6). Let d = 455/2 - 227. Let 2*j + d*j**i + 2 = 0. Calculate j.
-2
Suppose 0 = -4*l + 4*m + 24, 135*m - 6 = l + 138*m. Let i(q) be the second derivative of 10*q + 2/39*q**l + 0 + 0*q**2 + 1/78*q**4. Factor i(x).
2*x*(x + 2)/13
Let b(l) be the third derivative of 1/64*l**4 - 3/896*l**8 + 0*l**5 + 0*l - 18*l**2 - 3/160*l**6 + 1/70*l**7 + 0 + 0*l**3. What is n in b(n) = 0?
-1/3, 0, 1
Factor 2/9*h**2 - 2/3*h - 8/9.
2*(h - 4)*(h + 1)/9
Let w(v) = -14*v**2 + 162*v + 176. Let o(d) = -5*d**2 + 54*d + 59. Let g(h) = 17*o(h) - 6*w(h). Factor g(r).
-(r + 1)*(r + 53)
Find w such that -7*w**3 - 84*w**2 - 2*w**3 + 2*w**3 + 5*w**3 = 0.
-42, 0
Let n(h) be the third derivative of 10*h**2 + 1/32*h**4 - 1/80*h**5 + 1/280*h**7 + 0 + 0*h + 0*h**3 - 1/160*h**6. Let n(a) = 0. What is a?
-1, 0, 1
Let w = -727/7 + 733/7. Solve -2/7*j**2 + 8/7 + w*j = 0 for j.
-1, 4
Let u = -425 - -428. Factor 0 + 2/5*t**u + 2/5*t + 4/5*t**2.
2*t*(t + 1)**2/5
Let v(c) be the first derivative of -c**7/42 + c**6/30 - 2*c + 27. Let x(i) be the first derivative of v(i). Find b, given that x(b) = 0.
0, 1
Let b(r) be the second derivative of -2*r**6/75 - 9*r**5/25 - 23*r**4/15 - 2*r**3/5 + 72*r**2/5 + 249*r. Determine y so that b(y) = 0.
-4, -3, 1
Suppose -4*y + 5*g + 32 = 0, -4*y + 7 + 9 = -g. Suppose -3 - y = -3*p. Factor 0*x**3 + 3*x - x**p + 4*x**2 - 3 - 3*x**3.
-3*(x - 1)**2*(x + 1)
Let k(r) be the third derivative of r**9/3024 - r**8/560 + r**7/420 - 2*r**3/3 - 27*r**2. Let z(f) be the first derivative of k(f). Factor z(g).
g**3*(g - 2)*(g - 1)
Let w(p) = p**2 + 5*p + 2. Suppose -2 = v + 3. Let q be w(v). Let -9 - k**2 + 5*k**q + k + 5*k - 5*k**2 = 0. What is k?
3
Let f be ((-1)/(-3))/(((-270)/5508)/((-9)/6)). Suppose 21/5*s**3 + 18/5 - 48/5*s**2 - f*s = 0. Calculate s.
-1, 2/7, 3
Let h(t) = 10*t**2 + 35*t + 20. Let q(o) = -2*o. Let d(m) = -m**2 + m + 1. Let j(v) = d(v) + q(v). Let p(u) = h(u) + 5*j(u). Find g such that p(g) = 0.
-5, -1
Suppose 3*x + 9*w - 10*w - 16 = 0, 4*x + 2*w = 18. Factor -4/3*h**2 + 1/6*h**x - 8/3*h + 8/3*h**3 + 8/3 - 7/6*h**4.
(h - 2)**4*(h + 1)/6
Factor 0 - 23/2*r**3 - 27/2*r**5 + 0*r + 26*r**4 - r**2.
-r**2*(r - 1)**2*(27*r + 2)/2
Let j(k) be the first derivative of -5/4*k**2 - 1/2*k**5 + 5/8*k**4 + 0*k + 5/6*k**3 + 10. Factor j(p).
-5*p*(p - 1)**2*(p + 1)/2
Let a = -39/14 - -43/14. Suppose -a*c**4 - 26/7*c - 8/7 - 30/7*c**2 - 2*c**3 = 0. What is c?
-4, -1
Let t(m) be the third derivative of -m**5/60 - 4*m**4/9 + 11*m**3/18 + 4*m**2 - 2*m. Solve t(y) = 0.
-11, 1/3
Let s = -31 - -41. Factor -3 + 16 + s*h - 5*h**2 + 2.
-5*(h - 3)*(h + 1)
Let s = 6 - 3. What is x in -9*x**2 + 3*x**s + 16*x + 13*x - 23*x = 0?
0, 1, 2
Let z = -346 - -349. Let p(m) be the first derivative of 2/15*m**3 + 3/5*m**2 + 0*m + z. Factor p(v).
2*v*(v + 3)/5
Suppose 10*r - 828 = r. Let f = r + -183/2. Factor 1/4*p**2 + 1/4 + f*p.
(p + 1)**2/4
Find o, given that -7/4*o**2 + 0*o - 1/4*o**5 + 1/4*o**3 + 3/4*o**4 + 1 = 0.
-1, 1, 2
Let v(s) = -s**3 + 2 + 6 + 0*s**3 + 10*s**2. Let g be v(10). Factor -50*c**3 - c**4 + 8*c + 5*c**4 + 2*c**5 + 44*c**3 - g*c**2.
2*c*(c - 1)**2*(c + 2)**2
Let j(b) be the second derivative of b**4/28 - 15*b**3/14 - 3*b + 24. Solve j(l) = 0 for l.
0, 15
Let q = 4115/2 - 2054. Factor -1/2 + 4*c**3 + q*c**4 - c + c**2 + c**5.
(c + 1)**4*(2*c - 1)/2
Let a = 8691 - 8689. Factor 0*q - 2/5*q**a + 0.
-2*q**2/5
Let w(p) be the third derivative of -p**7/4410 - p**6/126 + 5*p**4/6 - 5*p**2. Let f(r) be the second derivative of w(r). Solve f(i) = 0.
-10, 0
Let w = -78 + 82. Suppose 0 = -2*k + 5*k + 4*q - 22, -2*k + q = 0. Suppose 0*m**4 + m**3 - 3*m**w - m + 0*m + 3*m**k = 0. What is m?
-1, 0, 1/3, 1
Suppose -7*b = -5*b - 6. Suppose -i = b*i - 12. Determine o, given that -2*o**4 + 10*o + 10*o**5 + 0*o**3 + 10*o**2 - 5 - 3*o**4 - 20*o**i = 0.
-1, 1/2, 1
Let w(i) = i**3 - 13*i**2 + 22*i - 120. Let a be w(12). Factor a*o + 0 + 1/5*o**5 + 6/5*o**4 + 4/5*o**2 + 9/5*o**3.
o**2*(o + 1)**2*(o + 4)/5
Factor -2*p**2 + 64 + 173*p + 179*p - 516*p + 172*p.
-2*(p - 8)*(p + 4)
Factor 2/7*c**4 + 6*c**3 + 200/7*c + 0 + 240/7*c**2.
2*c*(c + 1)*(c + 10)**2/7
Let k(f) be the third derivative of 0*f**3 + 0*f + 0 - 16*f**2 - 1/240*f**5 + 0*f**4. Factor k(r).
-r**2/4
Let h(o) = o - 6. Let s be h(7). Let q be ((-11)/22)/(s/(-8)). Factor 4*d + 0*d**2 + 2*d - d**2 + q*d**2.
3*d*(d + 2)
Let m be (15/(-225)*0)/(-4). Factor m + 12/7*q + 2/7*q**2.
2*q*(q + 6)/7
Let a(t) = t**2 - t - 1. Let k(w) = 80*w**4 + 200*w**3 - 30*w**2 - 250*w - 5. Let y(x) = 5*a(x) - k(x). Factor y(p).
-5*p*(p - 1)*(4*p + 7)**2
Determine z, given that -183*z**3 + 1506*z**2 + 63*z**3 - 3829*z - 2782*z + 3*z**4 + 491*z + 7803 = 0.
3, 17
Factor -1/3*m**2 - 82/3*m - 1681/3.
-(m + 41)**2/3
Let d(t) be the second derivative of -t**10/120960 - t**9/30240 + t**7/5040 + t**6/2880 - 3*t**4/4 + 7*t. Let l(b) be the third derivative of d(b). Factor l(a).
-a*(a - 1)*(a + 1)**3/4
Suppose -4*s + 17 = -4*h - 11, s - 7 = -h. Solve 3 + 7/2*i + h*i**2 - 1/2*i**3 = 0 for i.
-2, -1, 3
Let w(f) be the second derivative of -f**7/63 - f**6/9 - 7*f**5/30 - f**4/6 - 4*f + 23. Factor w(d).
-2*d**2*(d + 1)**2*(d + 3)/3
Let y = 24262/13 - 1866. Determine c so that y*c + 6/13 - 2/13*c**2 = 0.
-1, 3
Let t(a) = a + 24. Let q be t(-15). Let x be -2 + q + (2 - 2). Solve 0*p**3 - x*p**4 + 8*p**4 - p**3 + p - p**2 = 0.
-1, 0, 1
Let o(f) be the first derivative of -f**8/420 - f**7/105 + f**5/15 + f**4/6 - 5*f**3/3 + 1. Let y(x) be the third derivative of o(x). Factor y(r).
-4*(r - 1)*(r + 1)**3
Let o = 16/7 - 25/14. Let 2 + o*h**2 + 5/2*h = 0. Calculate h.
-4, -1
Let c be 4/(3 - 14/6). Let k be c/(-10)*3 + (0 - -3). Determine j so that 3/5*j**4 + 0 - 3/5*j**2 - 6/5*j**3 + k*j = 0.
-1, 0, 1, 2
Suppose -5*v**3 - 20*v + 5/2*v**5 + 15/2*v**4 + 0 - 30*v**2 = 0. Calculate v.
-2, -1, 0, 2
Let s = 2673 - 2670. Let r(t) be the third derivative of 0*t**s - 1/448*t**8 + 0*t + 0*t**7 + 1/160*t**6 + 0*t**5 - t**2 + 0*t**4 + 0. Factor r(n).
-3*n**3*(n - 1)*(n + 1)/4
Let x be 4*((-27)/(-4))/9. Suppose -d - q - 2*q = 9, -4*d - 9 = x*q. Determine w so that -3/2*w**3 + 0*w + d + 0*w**2 = 0.
0
Let j(y) be the third derivative of 0 + 1/12*y**4 + 27*y**2 + 0*y - 2/15*y**3 + 7/150*y**5. Suppose j(x) = 0. Calculate x.
-1, 2/7
Let t be (39/6 - 6) + 6/(-12). Let 1/5*i**4 + t - 1/5*i**2 + 1/5*i - 1/5*i**3 = 0. Calculate i.
-1, 0, 1
Let l be 6/(-14) - (1 + -2). Let j be (-14980)/(-16905) - 12/414. Factor -6/7*m**4 - 4/7*m**3 + l*m**2 - 2/7*m**5 + 2/7 + j*m.
-2*(m - 1)*(m + 1)**4/7
Let f be (-4 - -4)/(-2) - -5. Suppose -5*m - 4*c + 12 = -m, 2*m + c = f. Factor -m*a - 3 - 1/3*a**2.
-(a + 3)**2/3
Let m(l) be the second derivative of l**7/21 - 16*l**6/15 + 89*l**5/10 - 103*l**4/3 + 68*l**3 - 72*l**2 - 90*l - 2. Suppose m(t) = 0. Calculat