**2/13
Let g(w) be the second derivative of 1/6*w**4 + 0 + 90*w - 1/10*w**5 + 1/3*w**3 - w**2. Suppose g(y) = 0. Calculate y.
-1, 1
Find d such that -1733*d**2 + 98270*d**5 + 97109*d**5 + 255*d - 196853*d**5 + 1219*d**3 + 1731*d**4 + 2 = 0.
-1, -1/134, 2/11, 1
Let a = 691600/3 + -230528. Factor -4/3*h**2 + 4*h**4 - 6*h + 2/3*h**5 + a*h**3 - 8/3.
2*(h - 1)*(h + 1)**3*(h + 4)/3
Let q(b) be the first derivative of 57*b**4/16 + 75*b**3/4 - 297*b**2/8 + 15*b/4 + 1532. Let q(k) = 0. What is k?
-5, 1/19, 1
Factor 424*p**3 - 790*p**3 + 1536*p + 370*p**3 - 2944 - 216*p**2.
4*(p - 46)*(p - 4)**2
Let b = 3904 + -3901. Let t(n) be the second derivative of 0*n**b + 6*n - 1/24*n**4 + 0 + n**2. Suppose t(q) = 0. Calculate q.
-2, 2
Let a(f) = f**2 - f. Let b(u) = 10*u**2 + 25*u - 14. Let v(w) = 4*a(w) - b(w). Let r(s) = 12*s**2 + 57*s - 27. Let d(c) = -4*r(c) - 9*v(c). Factor d(x).
3*(x + 6)*(2*x - 1)
Let n(h) be the first derivative of -h**6/18 - h**5/10 + h**4/4 + 5*h**3/18 - h**2/2 - 1704. Find g such that n(g) = 0.
-2, -3/2, 0, 1
Suppose -4*s + 3*s = -3*s. Let h be s - (3 + 2/(-2)) - -16. Factor -4*r - h*r + 14*r - r**2 + 4 + r**3.
(r - 2)*(r - 1)*(r + 2)
Suppose -3606 = 4*g - 2*k, 3*k + 3475 = -3*g + 784. Let m = g + 902. Suppose 0*o**m + 0 + 0*o + 5/6*o**4 - 1/3*o**3 - 1/2*o**5 = 0. Calculate o.
0, 2/3, 1
Let y(t) = 128*t**4 + 40*t**3 + t**2 - 47*t. Let q(p) = -15*p**4 - 5*p**3 + 6*p. Let i(v) = 51*q(v) + 6*y(v). Suppose i(h) = 0. What is h?
-1, 0, 2, 4
Let p(v) be the second derivative of -1/84*v**4 + 3/140*v**5 - 1/14*v**3 + 1/7*v**2 - 1/210*v**6 + 27*v + 0. Let p(h) = 0. What is h?
-1, 1, 2
Let v(o) be the first derivative of 1/14*o**6 + 0*o**3 + 0*o + 74 + 0*o**2 + 27/35*o**5 + 0*o**4. Let v(k) = 0. What is k?
-9, 0
Let y(c) = 8*c + 2*c**2 - 5 - 2*c - 10*c**2 + 12*c**2 + c**2. Let b be y(-2). Solve 2/15*g**b + 8/15 - 8/15*g - 2/15*g**2 = 0 for g.
-2, 1, 2
Let t be 2 - (-1)/(-1) - -2. Let r be (20/(-15) + 3)*t*1. Factor b**2 - 10*b**4 + r*b**4 + 4*b**4.
-b**2*(b - 1)*(b + 1)
Let t(m) be the first derivative of 3*m**5/5 + 3*m**4 - 55*m**3 + 75*m**2 - 357. Solve t(x) = 0.
-10, 0, 1, 5
Let b be 1104/(-184)*((-4)/20)/((-8)/(-5)). Suppose -3*x + 9 = -0*x. Solve b*k**x + 3/2*k + 9/4*k**2 + 0 = 0.
-2, -1, 0
Suppose 5*c - 6394 = 4*j, 0 = 5*c - 3*j + 945 - 7343. Suppose 3 - 1270*z**2 + 5 + c*z**2 + 4*z**3 - 4*z**4 - 20*z = 0. Calculate z.
-2, 1
Let k be 1722/(3 + 39) - 37. Factor 8/3*m + 2/3*m**4 + k*m**3 + 0 + 6*m**2.
2*m*(m + 1)**2*(m + 4)/3
Let i(g) be the third derivative of 1/100*g**6 + 0 + 0*g**7 + 0*g + 0*g**3 - 1/560*g**8 - 1/40*g**4 + 0*g**5 + 11*g**2. Factor i(f).
-3*f*(f - 1)**2*(f + 1)**2/5
Suppose 18*b - 13*b = 0. Let v be 6 + b - (4 - 1) - -1. Factor 2*f**2 - 1 - 2*f**2 + 0 - f**v + 2*f**2.
-(f - 1)**2*(f + 1)**2
Factor 5/3*o - 1/3*o**3 - 2/3*o**2 + 2.
-(o - 2)*(o + 1)*(o + 3)/3
Suppose 2*h = 2*i - 2*h + 310, 3*i - 2*h = -469. Let q = -120 - i. Factor 71*d**2 - q*d**2 + 8 + 4*d - 38*d**2.
-4*(d - 2)*(d + 1)
Factor 2/11*r**2 - 52/11*r - 54/11.
2*(r - 27)*(r + 1)/11
Let s(l) = 344*l + 14. Let h be s(-1). Let j be -6 - h/50 - 0. What is a in 3/5 + j*a**2 + 6/5*a = 0?
-1
Let k(w) be the second derivative of w**6/40 - w**5/5 - w**4/8 + 2*w**3 - 10*w**2 - 37*w. Let u(m) be the first derivative of k(m). Find y, given that u(y) = 0.
-1, 1, 4
Suppose -124*q + 341 = -39 - 364. Let j(l) be the second derivative of -1/10*l**q + 11/20*l**5 - 19*l + 1/6*l**3 + 0 + l**2 - 11/12*l**4. Solve j(x) = 0.
-1/3, 1, 2
Let v = 277944 - 1945570/7. Factor -34/7 + 10*m - v*m**2 + 2/7*m**3.
2*(m - 17)*(m - 1)**2/7
Let y(h) = 20*h**2 + 2*h - 6. Let s be y(1). Find t such that s*t**2 + 6*t**4 - 2*t**3 + 2*t**3 + 4*t + 19*t**3 = 0.
-2, -2/3, -1/2, 0
Suppose -4*m = 3*h - 477, 63*m - 67*m = h - 167. Let r = 157 - h. Factor 0 + 2*x - 7/3*x**4 + 25/3*x**r + 4*x**3.
-x*(x - 3)*(x + 1)*(7*x + 2)/3
Let p(c) be the third derivative of c**5/60 + 13*c**4/24 + 4*c**3 - 4*c**2 + c. Let q(z) = -z**2 - 12*z - 22. Let a(l) = 5*p(l) + 6*q(l). Factor a(y).
-(y + 3)*(y + 4)
Let q be 3 - (-7)/(-2) - 119/(-34). Let f(o) = 4*o**2 - 14*o + 3. Let h(w) = -2*w**2 + 6*w - 1. Let r(j) = q*f(j) + 7*h(j). Let r(z) = 0. Calculate z.
-1, 1
Factor 23*s - 350*s**3 + 64 + 346*s**3 + 25*s.
-4*(s - 4)*(s + 2)**2
Let u be ((-4572)/352 - (-4)/11) + 16. Determine c, given that 3/8*c**2 + 3 + u*c = 0.
-8, -1
Let v = -865824/35 - -24738. Let z(d) be the first derivative of 1/14*d**6 + 3/14*d**2 - 6/7*d - 3/14*d**4 - v*d**5 - 35 + 4/7*d**3. Solve z(q) = 0.
-1, 1, 2
Let z(l) be the first derivative of 5*l**4/4 + 2645*l**3 + 4197615*l**2/2 + 740179445*l - 591. Determine h so that z(h) = 0.
-529
Let m(y) be the third derivative of -289/2*y**4 - 1/120*y**6 + 0 - 2*y**2 - 90*y - 17/10*y**5 - 19652/3*y**3. Factor m(s).
-(s + 34)**3
Let x(q) be the first derivative of -13/20*q**4 + 0*q - 6/25*q**5 - 42 - 2/5*q**2 - 1/30*q**6 - 4/5*q**3. Factor x(f).
-f*(f + 1)**2*(f + 2)**2/5
Let h(x) = 4 - 41 - 75*x + x**3 - 36*x**2 + 1. Let c be h(38). Factor 1/4*n**c - 1/2 + 1/4*n.
(n - 1)*(n + 2)/4
Let p = 1264372/9 + -140484. Factor -8/3*y**2 - p*y**3 - 16/9*y - 4/9*y**4 - 4/9.
-4*(y + 1)**4/9
Suppose 0*u - 156*u = -780. Let a(j) be the third derivative of 0*j + 1/105*j**7 + 0 + 0*j**4 + 0*j**u + 30*j**2 + 1/60*j**6 + 0*j**3. Factor a(n).
2*n**3*(n + 1)
Let a = -91 + 93. Find g such that 3*g**2 + 48 + 0*g**2 + g - 50 - a*g**2 = 0.
-2, 1
Let j be (-22)/(-44)*(-8)/(6/(-3)). Factor 4*g - 3*g - 4*g**j - g - 2*g**3 + 14*g - 8.
-2*(g - 1)**2*(g + 4)
Let s = 361 - 354. Let j(i) = -4*i**5 - 9*i**4 + 20*i**3. Let w(g) = 3*g**5 + 6*g**4 - 14*g**3. Let d(r) = s*w(r) + 5*j(r). Factor d(q).
q**3*(q - 2)*(q - 1)
Let n(f) be the third derivative of -f**8/112 + f**7/35 + 233*f**6/40 + 801*f**5/10 + 567*f**4/2 - 2052*f**3 - 2190*f**2. Factor n(p).
-3*(p - 19)*(p - 1)*(p + 6)**3
Let m(g) be the first derivative of 1/3*g**3 + 196 + 0*g**2 + 0*g. Solve m(o) = 0 for o.
0
Let m = 51197/5 + -358339/35. Factor 12/7*a + 6/7*a**2 + m + 1/7*a**3.
(a + 2)**3/7
Let h be (438/3650)/(4/(-530)) - -16. Let -h*g**2 - 9/10*g + 0 = 0. Calculate g.
-9, 0
Let a(r) be the first derivative of -2*r**3 - 1/4*r**2 - 54/5*r**5 - 27/4*r**4 + 0*r - 27/4*r**6 - 110. Factor a(c).
-c*(3*c + 1)**4/2
Let m(l) be the second derivative of 0 + 4/75*l**6 + 21/50*l**5 + 3/5*l**2 + 19/15*l**3 + 11/10*l**4 - 27*l. What is y in m(y) = 0?
-3, -1, -1/4
Suppose -3*h = -f - 1, -7*h - 21 = -5*h - 5*f. Let o(q) be the second derivative of 0*q**h + 16*q + 0 - 1/8*q**4 + 1/4*q**3. Factor o(k).
-3*k*(k - 1)/2
Let d(z) be the first derivative of z**4/16 + 3065*z**3/12 + 2347023*z**2/8 - 2350089*z/4 - 9854. Factor d(o).
(o - 1)*(o + 1533)**2/4
Let x = -434 - -359. Let g be 0 - 145/x - 2/(-3). Factor -6/5 - g*u + 1/5*u**3 - 7/5*u**2 + 1/5*u**4.
(u - 3)*(u + 1)**2*(u + 2)/5
Suppose -4*d - 4*h + 6*h + 22 = 0, 5*d = 4*h + 35. Let f be (4/d)/(1232/693). Find p, given that -3/2 + f*p**3 - 9/4*p + 0*p**2 = 0.
-1, 2
Let l = 1067 - 1071. Let b be (88/(-99))/l + 16/9. Factor -3/4*d**b - 15/4 + 9/2*d.
-3*(d - 5)*(d - 1)/4
Let g(s) = s**4 - s**3 + s**2 - s - 2. Let v(k) = k + 18 - 100*k**3 - 2*k**4 - 24*k**4 - 2 - 2*k**4 - 25*k - 128*k**2. Let o(l) = 8*g(l) + v(l). Factor o(p).
-4*p*(p + 1)*(p + 4)*(5*p + 2)
Solve 226*y**4 + 60106 - 120148 - 1373*y + 385*y - 182*y**2 + 671*y**3 + 60322 - 7*y**5 = 0 for y.
-2, 2/7, 1, 35
Determine r, given that 18*r**2 - 8/3 - 4/3*r**3 - 6*r**4 - 8*r = 0.
-2, -2/9, 1
Let -524*x - 64*x**3 + 788/3 + 977/3*x**2 - 1/3*x**4 = 0. Calculate x.
-197, 1, 2
Let p = 39959 + -39959. Let f(o) be the first derivative of -8/5*o**5 + p*o**2 - 3 - o**4 + 2/3*o**6 + 8/3*o**3 + 0*o. Let f(h) = 0. Calculate h.
-1, 0, 1, 2
Let c(k) be the third derivative of 139*k**2 + 0 + 0*k - 17*k**3 + 1/20*k**5 - 15/8*k**4. Suppose c(x) = 0. Calculate x.
-2, 17
Let g be (2/(-25))/(7/(-35)). Let a = -80114 - -80117. Factor -g*n**a - 22/5*n + 12/5*n**2 + 12/5.
-2*(n - 3)*(n - 2)*(n - 1)/5
What is a in -1920*a + 98/5*a**3 + 2752/5 + 8316/5*a**2 = 0?
-86, 4/7
Solve 426*l**5 - 162*l**3 - 101*l**3 - 588*l + 186*l**4 - 832*l**3 - 1876*l**2 - 860*l**5 + 427*l**5 = 0 for l.
-1, -3/7, 0, 14
Let r(q) be the second derivative of -q**4/4 - 117*q**3/2 - 678*q**2 + 47*q + 24. Factor r(v).
-3*(v + 4)*(v + 113)
Let c(b) = -4*b*