ivative of y**5/105 + 197*y**4/21 + 77618*y**3/21 + 465*y**2 + 1. Solve b(l) = 0.
-197
Let n(b) be the third derivative of 58 - 2*b**2 + 4/21*b**3 - 3/70*b**5 - 5/12*b**4 + 0*b. Factor n(d).
-2*(d + 4)*(9*d - 1)/7
Let h be 6/(-20)*(1330/(-38) + 45 - 138/9). Let -39/5 + h*f**3 + 88/5*f + 1/5*f**4 - 58/5*f**2 = 0. Calculate f.
-13, 1, 3
Let f(p) = 2*p**2 + 12*p + 4. Let b be f(-5). Let l(i) = -i**2 + 9*i + 13. Let r(g) = -3*g**2 + 37*g + 51. Let j(u) = b*r(u) + 22*l(u). Factor j(x).
-4*(x + 1)*(x + 5)
Let h = -170 - -172. Find x such that -2*x**3 + 2*x**3 + 8*x**2 - 8 + 4*x**3 - h*x**3 - 2*x = 0.
-4, -1, 1
Let k = 43450/4501 + -5656/643. Factor -45/7*a**4 + 0 - 33/7*a**3 + 0*a - k*a**2.
-3*a**2*(3*a + 1)*(5*a + 2)/7
Let i = -64 + 65. Let k be 4/24 - (-53)/6*i. Factor -43*f + 3*f**2 + k + 17*f + 14*f.
3*(f - 3)*(f - 1)
Let w(b) be the second derivative of -3*b**6/40 + 231*b**5/80 - 125*b**4/8 + 43*b**3/2 + 33*b**2 - 1737*b. Determine s, given that w(s) = 0.
-1/3, 2, 22
Let s(p) = p**3 + 38*p**2 + 44*p + 253. Let m be s(-37). Let l be 24/(-2)*m/18. Determine f so that 40*f + 22/3*f**2 - 4*f**3 - 2/3*f**l - 200/3 = 0.
-5, 2
Let m be ((-3)/2)/(-6*25/60). Let d(n) be the second derivative of 8/3*n**3 - 14/3*n**4 - m*n**6 + 0*n**2 - 13*n + 0 + 3*n**5. Solve d(f) = 0 for f.
0, 2/3, 2
Let h(y) be the first derivative of -2*y**5/35 + 419*y**4/14 - 88198*y**3/21 + 43681*y**2/7 + 9761. Determine r so that h(r) = 0.
0, 1, 209
Let w = -438 - -447. Suppose -5*y + w + 1 = 0. Factor 0*b - 57/2*b**2 + 14*b**3 + y.
(b - 2)*(4*b + 1)*(7*b - 2)/2
Let b(h) = h**2 + 8*h + 11. Let g(l) be the second derivative of -l**3/6 - l**2/2 + 4*l + 8. Let j(c) = -4*b(c) - 4*g(c). Factor j(o).
-4*(o + 2)*(o + 5)
Let a be (20/12)/(40/72) + 5 + -5. Let u(h) be the first derivative of 7*h**a + 45/2*h**2 - 31 - 9/4*h**4 - 54*h - 3/5*h**5. Factor u(c).
-3*(c - 2)*(c - 1)*(c + 3)**2
Suppose 9*o + 15 - 51 = 0. Let u be -1 + ((-252)/192)/((-3)/o). Find g such that 15/8*g + 3/8*g**3 + u + 3/2*g**2 = 0.
-2, -1
Factor -441/5 - 303/5*o + 141/5*o**2 + 3/5*o**3.
3*(o - 3)*(o + 1)*(o + 49)/5
Let a(n) be the first derivative of 2*n**5/5 + 31*n**4/2 - 74*n**3/3 - 163*n**2 - 192*n + 1132. Solve a(o) = 0 for o.
-32, -1, 3
Let f be (-7)/14*(-54)/(-12)*(-28)/3. Let i = -1311/40 + 315/8. Find x such that -3/5*x**3 - i*x**2 - 15 - f*x = 0.
-5, -1
Let o(x) be the third derivative of -x**7/280 - 153*x**6/16 - 191*x**5/10 + 765*x**4/16 + 1529*x**3/8 - 2145*x**2. Determine k so that o(k) = 0.
-1529, -1, 1
Factor 35/4*t**2 - 33/4*t**3 - 1/4*t**4 + 33/4*t - 17/2.
-(t - 1)**2*(t + 1)*(t + 34)/4
Suppose 1 = -3*h + 7. Let x be (-3010)/(-4) - (-1)/h. Factor 3*v**3 + v**3 + 753 + 4*v**2 - 8*v - x.
4*v*(v - 1)*(v + 2)
Let b be (-69)/(-72)*-2 + (-8)/(-4). Let j(u) be the third derivative of -b*u**5 - 5/3*u**3 + 0 + 14*u**2 + 5/8*u**4 + 0*u. Factor j(y).
-5*(y - 2)*(y - 1)
Let b be 45/(-7) - -6 - (-2571)/21. Let x = -119 + b. Factor 2/3 - 29/6*d**2 + 7/2*d**x + 2/3*d.
(d - 1)*(3*d - 2)*(7*d + 2)/6
Suppose 228*w + 21*w - 1245 = 0. Let m(f) be the third derivative of 0*f + 1/28*f**4 + 4/21*f**3 + 0 + 21*f**2 - 1/210*f**w. Factor m(a).
-2*(a - 4)*(a + 1)/7
Suppose 10*f = 16*f. Factor -4*w + f*w + 5*w**2 + 12*w - 20 + 7*w.
5*(w - 1)*(w + 4)
Let d(x) be the third derivative of -x**7/1050 - x**6/300 + 7*x**5/12 - 98*x**4/15 + 1666*x**2. Factor d(q).
-q*(q - 7)**2*(q + 16)/5
Let t(v) = 5*v**4 + v**2 - 6*v + 4. Let q(f) = 9*f**4 + f**2 - 11*f + 7. Let w = 11 + -23. Let n = w + 16. Let h(s) = n*q(s) - 7*t(s). Factor h(p).
p*(p - 2)*(p + 1)**2
Let d = -17602/11 + 123236/77. Determine o so that 0*o**2 - d*o + 4/7*o**3 + 0*o**4 - 2/7*o**5 + 0 = 0.
-1, 0, 1
Let i be (-249)/(-27) + 3*(-15)/5. Let a(m) be the first derivative of i*m**3 + 0*m - 2*m**2 - 4. Factor a(o).
2*o*(o - 6)/3
Let k be (10/4)/(4615/5538). Factor -69/8*r**2 + 51/4*r - 21/8 - 3/2*r**k.
-3*(r - 1)*(r + 7)*(4*r - 1)/8
Let p(n) be the second derivative of -n**6/360 - n**5/180 + n**4/12 + 40*n**2 + 17*n. Let f(a) be the first derivative of p(a). Factor f(b).
-b*(b - 2)*(b + 3)/3
Let t be -28 + 2 + 15/(-3). Let p = -28 - t. Solve 61*a**2 - 8*a**p - a**3 - 63*a**2 = 0.
-2/9, 0
Suppose 2*i - 2 = -3*f - 33, 5*f = -5*i - 60. Let j be (12/f)/((8/(-28))/1). Let 1/3*c**2 + 27 - j*c = 0. What is c?
9
Suppose 4 = -195*p - 3 + 7. Factor -1/3*a**2 - 1/3*a + p.
-a*(a + 1)/3
Let x(p) = p**2 - 21*p + 110. Suppose -95*c = -60*c - 315. Let h be x(c). Factor -2/7*t**3 + 2/7*t + 1/7*t**4 + 3/7 - 4/7*t**h.
(t - 3)*(t - 1)*(t + 1)**2/7
Suppose 0 - 1/8*c**4 - 30*c**2 - 124*c + 63/4*c**3 = 0. What is c?
-2, 0, 4, 124
Let w(p) be the first derivative of 5*p**3/3 + 1685*p**2 + 6720*p + 7838. Determine n so that w(n) = 0.
-672, -2
Let y = -1/3228 - -539/3228. Suppose 0*l + l**3 + 0 + y*l**4 + 3/2*l**2 = 0. Calculate l.
-3, 0
Let t(c) be the first derivative of 8*c**6/105 - 6*c**5/35 - 5*c**4/28 - c**3/21 - 13*c + 19. Let q(i) be the first derivative of t(i). Factor q(s).
s*(s - 2)*(4*s + 1)**2/7
Let r = -75680 - -75682. Factor 0 - 3/8*h - 9/8*h**3 - 9/8*h**r - 3/8*h**4.
-3*h*(h + 1)**3/8
Suppose 0 = 4*g - 22 - 42. Suppose -4*x - 2*w = -g, -2*w = -x - 5*w + 14. Suppose 3*z + z**2 + 494*z**3 - 493*z**3 + 2*z**x + 1 = 0. What is z?
-1
Suppose -12*w + 2855 = 2807. Suppose -69 = w*q - 77. Suppose 5488/17 + 2/17*c**3 + 84/17*c**q + 1176/17*c = 0. What is c?
-14
Suppose 0 = 8*c + 6 - 38. Factor -25*i + 14*i**3 - 15*i**2 - 2*i**3 - 3*i**3 - i**c.
-i*(i - 5)**2*(i + 1)
Let 0 + 34/5*y + 4/5*y**2 = 0. Calculate y.
-17/2, 0
Let x be (-16)/168*(-3612)/860. Determine y, given that 124/5*y - x*y**2 - 1922/5 = 0.
31
Let t(j) = -2*j**2 + j - 2. Let v(k) = -9*k**2 + 763*k - 8. Let d(l) = -4*t(l) + v(l). Determine h, given that d(h) = 0.
0, 759
Suppose 2/9*m**4 - 4892/9*m + 4892/9*m**3 - 2991458/9 + 332384*m**2 = 0. What is m?
-1223, -1, 1
Let c(p) = -112*p**2 - 8200*p - 16760836. Let i(h) = -187*h**2 - 16396*h - 33521672. Let k(u) = 10*c(u) - 6*i(u). Factor k(y).
2*(y + 4094)**2
Let d(f) be the third derivative of -26/9*f**3 - 1/90*f**6 + 0*f + 25/18*f**4 + 0 - 11/45*f**5 - 55*f**2. Factor d(b).
-4*(b - 1)**2*(b + 13)/3
Suppose -42*g**2 - 333943*g + 3*g**3 + 333943*g = 0. Calculate g.
0, 14
Let 2/9*a**2 - 296/9 + 16*a = 0. Calculate a.
-74, 2
Let w(o) be the second derivative of o**7/3360 + 11*o**6/480 + o**4/6 + 7*o**3/2 - 135*o. Let q(v) be the third derivative of w(v). Factor q(p).
3*p*(p + 22)/4
Let t(m) be the second derivative of m**5/220 - 163*m**4/44 + 19845*m**3/22 + 60025*m**2/22 - 1556*m + 2. Factor t(o).
(o - 245)**2*(o + 1)/11
Let g = -240320/3 + 80108. Solve -2/3*r**3 + 1/3 - g*r**2 + r**4 + 2/3*r = 0.
-1, -1/3, 1
Let y(g) be the third derivative of g**7/1470 + 2*g**6/35 - 107*g**5/420 - 59*g**4/28 - 100*g**3/21 + 3*g**2 + 285. Let y(o) = 0. Calculate o.
-50, -1, 4
Find j such that 0*j + 0 + j**4 + 4*j**2 + 16/3*j**3 - 1/3*j**5 = 0.
-2, -1, 0, 6
Let h = -3705 + 3718. Let m(x) be the third derivative of 5/24*x**3 + 1/240*x**5 + 1/16*x**4 - x**2 + 0 + h*x. Determine a so that m(a) = 0.
-5, -1
Suppose 25*h - 56*h = 372. Let j(t) = -t**2 - 25*t - 154. Let n be j(h). Factor -5/6*o + 2/3*o**n - 1/6*o**3 + 1/3.
-(o - 2)*(o - 1)**2/6
Let s(x) be the second derivative of -3*x**4 + 0*x**2 + 20/3*x**3 - 1/5*x**5 + 28 - x. Factor s(a).
-4*a*(a - 1)*(a + 10)
Let w(d) be the second derivative of -d**5/140 + 13*d**4/84 - 16*d**3/21 + 10*d**2/7 - 1180*d. Determine j so that w(j) = 0.
1, 2, 10
Let g be (-8 - -23) + 400/(-24) + 11. Solve -11/3*h**2 + 1/3*h**3 - g - 40/3*h = 0 for h.
-2, -1, 14
Solve -4112712/7 - 5736/7*x - 2/7*x**2 = 0.
-1434
Let k be -23 - 505*25/(-500). Let a(d) be the first derivative of 0*d**2 + 0*d - 2*d**3 + 0*d**5 + k*d**4 + 16 - 1/2*d**6. Solve a(i) = 0 for i.
-2, 0, 1
Let u = -754 - -757. Solve 8*t**2 + 145 + 4*t**u + 235 + 368*t - 28 + 96*t**2 = 0 for t.
-22, -2
Let o = -92892 + 368697/4. Let r = 718 + o. What is a in 0 + a + 11/4*a**2 - 1/4*a**5 + 9/4*a**3 + r*a**4 = 0?
-1, 0, 4
Let n = 56941/30 - 1898. Let l(h) be the first derivative of 2/45*h**3 + 1/15*h**2 - 44 - 2/15*h - n*h**4. Factor l(p).
-2*(p - 1)**2*(p + 1)/15
Let i(u) = 40*u**2 + 8681*u - 3489. Let s(o) = 20*o**2 + 4340*o - 1744. Let c(x) = 8*i(x) - 17*s(x). What is g in c(g) = 0?
-217, 2/5
Let q = 90 + -87. Factor 8*