/147 + q**6/105 - 3*q**5/70 - 5*q**4/42 - 2*q**3/21 - 13*q. Find r such that g(r) = 0.
-1, 0, 2
Let h(k) be the second derivative of k**5/90 - 41*k**4/54 + 133*k**3/9 + 49*k**2 - 75*k. Factor h(i).
2*(i - 21)**2*(i + 1)/9
Let o(u) be the second derivative of -u**6/2520 - u**5/105 - u**4/14 + 23*u**3/6 - 6*u. Let q(z) be the second derivative of o(z). Factor q(y).
-(y + 2)*(y + 6)/7
Let p be (-21)/(-399) - 71/1710. Let k(a) be the third derivative of p*a**5 + 0 + 0*a**4 - 1/180*a**6 - 5*a**2 + 0*a**3 + 0*a. Suppose k(j) = 0. What is j?
0, 1
Let l be 370/(-1295) - -50*1/77. What is o in 4/11*o**3 + 0*o - l*o**5 + 0 - 2/11*o**2 + 2/11*o**4 = 0?
-1, 0, 1/2, 1
Solve 0 + 20/7*z**3 - 2/7*z**4 + 8/7*z**2 - 48/7*z - 2/7*z**5 = 0 for z.
-3, -2, 0, 2
Suppose 10*o - 486 = 304. Let p = -76 + o. Factor 6/7*m**2 + 3/7*m**p + 3/7*m + 0.
3*m*(m + 1)**2/7
Let s = -6 + 8. Suppose 0 = -5*x - 3*q + 22, q + 16 = 5*q. Factor 0*g**4 - g**2 + s*g**4 - g**x.
2*g**2*(g - 1)*(g + 1)
Let n(r) = -2*r**2 - 12*r + 19. Let j = -64 - -59. Let v(t) = -3*t**2 - 18*t + 29. Let a(m) = j*v(m) + 8*n(m). Factor a(h).
-(h - 1)*(h + 7)
Let w(k) be the second derivative of k**4/42 - 44*k**3/21 - 45*k**2/7 - 191*k. Factor w(x).
2*(x - 45)*(x + 1)/7
Let u(z) be the first derivative of 5/4*z**4 + 0*z**3 + 0*z**2 + 16 + 0*z. Factor u(x).
5*x**3
Let c(t) be the second derivative of t**5/130 + 23*t**4/78 + 11*t**3/3 + 121*t**2/13 - 65*t. Factor c(x).
2*(x + 1)*(x + 11)**2/13
Let t(o) be the first derivative of -2/3*o**3 + 2/5*o**5 - 3 + 0*o - 2/3*o**6 - o**2 + 3/2*o**4. Determine j so that t(j) = 0.
-1, -1/2, 0, 1
Let d(s) be the first derivative of 0*s + 0*s**4 + 23 - 4/35*s**5 + 0*s**3 + 0*s**2. Find w such that d(w) = 0.
0
Suppose -8/9*z - 2/3 - 2/9*z**2 = 0. What is z?
-3, -1
Let j(f) be the second derivative of 0 + 1/24*f**4 + 4*f**2 - 41*f + 2/3*f**3. Let j(m) = 0. Calculate m.
-4
Let i(w) = 1534*w + 3069. Let f be i(-2). Factor -2/3*b + 1/3*b**2 - f.
(b - 3)*(b + 1)/3
Let h(p) = p**4 - p**3 + p**2 - p + 1. Let q(g) = -7*g**4 + 12*g**3 - 11*g**2 + 6*g - 4. Let s be 6/9 + 290/15. Let f(i) = s*h(i) + 5*q(i). Factor f(x).
-5*x*(x - 1)**2*(3*x - 2)
Let a(n) be the second derivative of 4*n**7/21 - 32*n**6/15 + 97*n**5/10 - 139*n**4/6 + 95*n**3/3 - 25*n**2 - 372*n - 2. Factor a(m).
2*(m - 1)**3*(2*m - 5)**2
Let c be 118/(-5) + (-4)/10. Let b = c - -43. Factor -5*m - 5*m + 0*m + 2*m - 7*m**3 - b*m**2 + 4.
-(m + 1)*(m + 2)*(7*m - 2)
Let j be 3 - 1*(3 - 20). What is p in p**2 + 3*p**2 - 9*p + 5*p - 12*p - j = 0?
-1, 5
Let h(x) be the third derivative of x**7/70 + x**6/8 + 3*x**5/20 - 5*x**4/8 - 2*x**3 + 113*x**2. Let h(z) = 0. What is z?
-4, -1, 1
Let c(o) = o**3 - o**2 + 2. Suppose -2*s = -5*s - 0*s. Let t be c(s). Factor -1/4*n + 0*n**t + 1/4*n**3 + 0.
n*(n - 1)*(n + 1)/4
Let v(y) be the second derivative of 9*y**5/32 + 197*y**4/32 + 89*y**3/4 + 33*y**2/4 - 6*y - 88. Find g, given that v(g) = 0.
-11, -2, -2/15
Suppose -4*u + 2*a - 2 - 2 = 0, 5*a - 10 = -u. Let x be 4/(-15) - (-10)/25. Solve u + x*o**2 - 2/15*o = 0 for o.
0, 1
Determine g, given that -3*g**5 + 14*g**2 + 19*g**2 + 20*g**2 + 24*g**4 - 63*g**3 + g**2 = 0.
0, 2, 3
Factor 27*m**2 + 26*m**2 + 9 - 51*m**2 - 2*m - 17*m.
(m - 9)*(2*m - 1)
Let t(a) = 4*a**3 + 48*a**2 + 54*a. Let b(w) = -4*w**3 - 48*w**2 - 56*w. Let p(g) = 5*b(g) + 6*t(g). Factor p(u).
4*u*(u + 1)*(u + 11)
Let r(z) be the second derivative of -1/5*z**3 + 0 + 1/50*z**5 + 8*z + 2/5*z**2 + 0*z**4. Factor r(t).
2*(t - 1)**2*(t + 2)/5
Let k = 33462 - 33462. Solve 3/2*d**2 + k - 9/2*d = 0 for d.
0, 3
Let j(l) be the first derivative of -8*l**6/9 + 7*l**4/3 - 4*l**3/9 - 2*l**2 + 4*l/3 + 87. Find x, given that j(x) = 0.
-1, 1/2, 1
Let h be 70/21 + 1*153/(-54). Solve -h*s**2 - 98 + 14*s = 0 for s.
14
Let b(w) be the first derivative of 2/5*w**5 + w**2 + 3/2*w**4 + 3 + 0*w + 2*w**3. Determine y, given that b(y) = 0.
-1, 0
Suppose -3*u - 11 = -2. Let n be 3 + (u - -4) + -2. Factor -2*p**3 + 6*p**n - 6*p - 14 + 0*p**2 + 16.
-2*(p - 1)**3
What is u in -23/6*u + 7/3 - 27/2*u**2 + 7/6*u**4 - 37/6*u**3 = 0?
-1, 2/7, 7
Suppose 2601*y - 2618*y - 19*y**4 + 6 + 15*y**4 + y**5 + 14*y**2 = 0. What is y?
-2, 1, 3
Let u(s) be the third derivative of 0*s + 20*s**2 - 2/105*s**7 + 0 - 1/120*s**5 + 0*s**4 - 11/480*s**6 - 1/192*s**8 + 0*s**3. Factor u(n).
-n**2*(n + 1)**2*(7*n + 2)/4
Let v be (-9 - 0)*17/((-357)/14). Let j(r) be the third derivative of 0 + 1/630*r**7 + 1/90*r**v + 1/60*r**5 - 1/18*r**4 - 2/9*r**3 - 8*r**2 + 0*r. Factor j(s).
(s - 1)*(s + 1)*(s + 2)**2/3
Factor -1/4*d**3 - 7*d + 5/2*d**2 + 6.
-(d - 6)*(d - 2)**2/4
Find g such that 6*g - 203 + 2*g**2 + 106 + 97 = 0.
-3, 0
Suppose -13*b - 15 = -18*b. Factor -9*n**2 + 952*n**3 - 961*n**3 - b*n**4 - n - 2*n.
-3*n*(n + 1)**3
Let p(u) be the second derivative of u**6/25 - u**5/50 - u**4/10 + u**3/15 - 2*u - 84. Suppose p(t) = 0. What is t?
-1, 0, 1/3, 1
Let d be (-248)/16 - -16 - (-13)/24. Let u(x) be the third derivative of d*x**6 - 20/3*x**3 - 5*x**2 - 15/2*x**4 + 0 + 0*x - 5/2*x**5. Factor u(w).
5*(w - 2)*(5*w + 2)**2
Let u(s) be the second derivative of -1/130*s**5 - 2/39*s**3 + 0 + 1/26*s**4 + 0*s**2 - 8*s. Factor u(o).
-2*o*(o - 2)*(o - 1)/13
Let g(s) = s**2 - 3*s + 3. Let i be g(3). Suppose -3*c - i = -18. Find x such that -x**3 + x - x**4 + x**2 - c*x + 0*x + 5*x = 0.
-1, 0, 1
Suppose -4*c + 2*a = 170, a = 5*c + 269 - 64. Let l = 43 + c. What is r in 2/5*r + 0 - 6/5*r**l - 4/5*r**2 = 0?
-1, 0, 1/3
Factor -1/3*d**2 - 1024/3 + 64/3*d.
-(d - 32)**2/3
Let x(f) = -f**4 + f**3 - 3*f**2 - 1. Let j(o) = o**4 - 7*o**3 + 79*o**2 + 32*o + 5. Let v(t) = -j(t) - 5*x(t). Factor v(p).
2*p*(p - 4)*(p + 4)*(2*p + 1)
Let s be (-1)/((3/3)/1). Let k be (-3 - s)/10 - 14/(-20). Let 1/2 + k*y**2 - y = 0. Calculate y.
1
Let q be (2/(-4))/(-4 + (-3573)/(-894)). Factor -336*a**2 - 157 + 92*a + q - 27*a**3 + 347*a**3 + 256*a**4.
4*(a + 2)*(4*a - 1)**3
Let q = 29 - 21. Let b = 11 - q. Find w, given that 0 - 4*w**2 - 8*w - 3 + b*w + 2 = 0.
-1, -1/4
Let s = 137 - 135. Let y(g) = -g + 4. Let r be y(2). What is c in 2*c + 2*c + 7*c**2 - 2*c**s + 5*c**r = 0?
-2/5, 0
Factor -783*n**2 - 1179775 - 1287544 - 73*n**3 - 5504*n - 62617*n + 491810 + 70*n**3.
-3*(n + 87)**3
Let b be 56/(-80)*255/(-476). Let 3*u + 6 + b*u**2 = 0. Calculate u.
-4
Factor 8*j**2 - 21*j + 684 - 15*j**3 - 678 + 3*j**4 + 19*j**2.
3*(j - 2)*(j - 1)**3
Let c = 7313 - 7311. Determine l so that 3/2*l**c - 9/2 + 3*l = 0.
-3, 1
Let j(f) be the second derivative of 2*f**7/63 - 43*f**6/30 + 98*f**5/15 - 221*f**4/18 + 34*f**3/3 - 29*f**2/6 + 385*f. Determine i, given that j(i) = 0.
1/4, 1, 29
Suppose 4*n = 5*t + 27, 7*n + 5*t = 3*n - 3. Factor 100*p**4 + 164*p**3 + 20*p + 15*p**5 + 240*p**2 + 62*p**3 + 14*p**n + 60*p.
5*p*(p + 2)**3*(3*p + 2)
Factor -4*t - 24/7 - 4/7*t**2.
-4*(t + 1)*(t + 6)/7
Let p(b) be the first derivative of 0*b - 1/3*b**2 + 33 + 1/9*b**3. Factor p(c).
c*(c - 2)/3
Let z(y) be the third derivative of y**7/210 - y**6/40 - 3*y**5/10 - y**4/6 + 4*y**3 + 277*y**2. Suppose z(i) = 0. What is i?
-2, 1, 6
Suppose 5*n = 9*n - 12. Factor 1 + 6*h**4 - h + 11*h**n + 3*h**3 + h**5 + 10*h + 16*h**2 + 1.
(h + 1)**4*(h + 2)
Let f(c) be the third derivative of -c**6/30 + c**5 + 11*c**4/2 + 34*c**3/3 + 3*c**2 - 4. Factor f(p).
-4*(p - 17)*(p + 1)**2
Let v(a) be the first derivative of 3/2*a**2 + 0*a + 10 + a**3. Factor v(f).
3*f*(f + 1)
Let r(d) be the second derivative of 1/10*d**2 + 1/60*d**4 + 25*d + 0 + 1/15*d**3. Let r(j) = 0. Calculate j.
-1
Let x(m) be the third derivative of 0 + 2*m**3 - 11/24*m**4 + 0*m + 39*m**2 - 1/60*m**5. Factor x(s).
-(s - 1)*(s + 12)
Let s be (1 + 4 - 4)*(1 + -7). Let a be s/5*(2 + (-66)/28). Factor 1/7*n**5 + 2/7*n**2 + 2/7*n**3 - a*n**4 - 3/7*n + 1/7.
(n - 1)**4*(n + 1)/7
Let n(z) be the third derivative of 0*z + 0*z**4 + 1/120*z**5 + 0 + 33*z**2 - 1/12*z**3. Solve n(w) = 0.
-1, 1
Suppose 3*d - 28 = 5*z, -d - 24 = -6*z + 11*z. Suppose 3*c + 0*c - x - 11 = 0, 4*x = 3*c + d. Factor -8/5*u**3 + 4/5*u**c - 8/5*u**2 + 4/5*u + 4/5 + 4/5*u**4.
4*(u - 1)**2*(u + 1)**3/5
Let p be ((-6)/(-4))/(9/(-24)). Let g be p/(-3)*18/4. Determine l, given that 7*l - 10*l**3 - 14*l**4 + 9*l - 4 - g*l + 18*l**2 = 0.
-1, 2/7, 1
Let q(p) be the first derivative of -2*p**6/15 + 22*p**5/75 + 4