 - 11*s**3/2 - 26*s**2. Let r(o) be the first derivative of t(o). Factor r(n).
-(n - 2)*(9*n + 2)/4
Let l(q) be the first derivative of 6*q - 1 + 1/55*q**6 + 0*q**3 + 0*q**2 + 1/22*q**5 + 1/33*q**4. Let n(t) be the first derivative of l(t). Factor n(z).
2*z**2*(z + 1)*(3*z + 2)/11
Let z(q) be the second derivative of -q**6/360 + q**5/10 - 11*q**4/24 + 22*q**3/3 - 22*q. Let c(j) be the second derivative of z(j). What is v in c(v) = 0?
1, 11
Find h, given that -60/7*h - 3/7*h**5 + 27/7*h**3 - 72/7 + 6*h**2 - 6/7*h**4 = 0.
-3, -2, -1, 2
Let i(c) be the second derivative of c**5 + 0*c**2 + 0*c**4 + 0*c**3 + 24*c - 1/6*c**6 + 0. Factor i(n).
-5*n**3*(n - 4)
Let n(f) be the second derivative of -33*f + 0 - 1/12*f**4 - 4/3*f**3 - 8*f**2. Suppose n(j) = 0. Calculate j.
-4
Let f = -199 + 203. Suppose 16 = -q + 3*q + 4*n, q + 4*n - 8 = 0. Determine h, given that 58*h**2 - 8*h - 50*h**4 + 58*h**3 - q + 0*h**4 - f*h**5 - 46*h**5 = 0.
-1, -2/5, 2/5, 1
Let c(x) be the third derivative of 2*x**7/735 - x**6/42 + 2*x**5/105 + 10*x**4/21 - 16*x**3/7 - 2*x**2 - 294. Factor c(o).
4*(o - 3)*(o - 2)**2*(o + 2)/7
Let c(p) = 34*p**5 - 114*p**4 + 158*p**3 - 82*p**2. Let t(v) = -11*v**5 + 38*v**4 - 53*v**3 + 27*v**2. Let k(j) = 6*c(j) + 20*t(j). Factor k(b).
-4*b**2*(b - 2)**2*(4*b - 3)
Let l be (((-24)/28)/1)/(555/(-518)). Factor -1/5*x**4 - 8/5*x + 0 + l*x**2 + 2/5*x**3.
-x*(x - 2)**2*(x + 2)/5
Let y(p) be the first derivative of 4*p**3/33 - 159*p**2/11 - 160*p/11 + 189. Factor y(k).
2*(k - 80)*(2*k + 1)/11
Let y(u) be the first derivative of u**3/6 + 6*u**2 + 23*u/2 - 183. What is t in y(t) = 0?
-23, -1
Let s = 524/3 + -1003/6. Determine d so that 3/2*d**3 - s*d**2 - 6 + 12*d = 0.
1, 2
Let c(z) be the third derivative of z**6/40 - 67*z**5/40 + 34*z**4 + 289*z**3/4 + 425*z**2. Suppose c(i) = 0. What is i?
-1/2, 17
Let g(c) be the second derivative of -5/8*c**4 - 1/20*c**6 - 11*c + 1/2*c**3 + 0*c**2 + 0 + 3/10*c**5. Factor g(t).
-3*t*(t - 2)*(t - 1)**2/2
Let n(p) be the second derivative of -3/20*p**4 - 6*p + 1/50*p**6 + 1/5*p**3 + 0*p**2 + 0*p**5 + 0. Factor n(b).
3*b*(b - 1)**2*(b + 2)/5
Let v be 6/(-2)*(-20)/15. Suppose v = 4*r - 2*r. Suppose -y**r + 2*y**2 + 11 - 11 = 0. What is y?
0
Let o = 250 + -245. Let s be 1/(-2)*(-8)/22. Factor s*d**o + 0 - 2/11*d**3 + 2/11*d**4 - 2/11*d**2 + 0*d.
2*d**2*(d - 1)*(d + 1)**2/11
Suppose -720 - 600*z**2 - 1227*z - 8*z**4 - 120*z**3 - 324*z + 431*z + 3*z**4 = 0. Calculate z.
-18, -2
Let l be 4/(-18)*45/(-30). Factor 0*x - l*x**4 + 2*x**3 - 3*x**2 + 0.
-x**2*(x - 3)**2/3
Let a(c) be the second derivative of 0*c**2 + 6*c - 1/60*c**4 + 0 - 1/200*c**5 + 5/3*c**3 - 1/1800*c**6. Let x(o) be the second derivative of a(o). Factor x(g).
-(g + 1)*(g + 2)/5
Factor -52/3*k + 338/3 + 2/3*k**2.
2*(k - 13)**2/3
Let v(x) be the third derivative of -x**5/90 + 5*x**4/6 - 56*x**3/9 - 499*x**2. Find k, given that v(k) = 0.
2, 28
Let d(g) be the first derivative of -8 + 12*g - 4*g**5 + 14*g**2 - 6*g**4 + 8/3*g**3 - 2/3*g**6. Factor d(l).
-4*(l - 1)*(l + 1)**3*(l + 3)
Let z(n) = -155*n**3 - 45*n**2 + 945*n + 1970. Let o(j) = 17*j**3 + 5*j**2 - 105*j - 219. Let k(u) = 55*o(u) + 6*z(u). Factor k(d).
5*(d - 5)*(d + 3)**2
Let a(h) be the third derivative of 0*h**4 - 1/150*h**6 + 0*h**5 + 0*h**3 + 1/420*h**8 - 9*h**2 + 0*h**7 + 0 + 0*h. Solve a(w) = 0 for w.
-1, 0, 1
Let p(u) = 2*u**3 + 60*u**2 + u + 30. Let c be p(-30). Let l(d) be the second derivative of 0*d**3 - 3/20*d**5 + 0*d**2 + c + 6*d - 1/2*d**4. Factor l(v).
-3*v**2*(v + 2)
Let m(q) be the second derivative of q**5/110 + q**4/33 - 20*q**3/33 + 24*q**2/11 - 104*q. Suppose m(n) = 0. What is n?
-6, 2
Let t(w) be the second derivative of -w**4/24 - 5*w**3/4 - 7*w**2/2 + 84*w + 5. Factor t(u).
-(u + 1)*(u + 14)/2
Factor -16402500 + 451690*v**2 + 1095224*v**2 + 716*v**4 - 137514*v**2 - 14944500*v - 47880*v**3 - 4*v**5.
-4*(v - 45)**4*(v + 1)
Let g be 32/6 - (-7 - -8). Let h be -3*-5*3/(-135)*-7. Factor -23/3*r**4 - 2/3*r - h*r**5 + 0 - g*r**2 - 9*r**3.
-r*(r + 1)**3*(7*r + 2)/3
Let p(q) = -2*q**5 + 17*q**4 - 33*q**3 + 23*q**2 - 2*q. Let v(o) = o**5 - o**4 - o**3 + o**2 + o. Let a = -6 - -3. Let m(g) = a*v(g) + p(g). Factor m(h).
-5*h*(h - 1)**4
Let j = 55/2 + -1091/42. Let k = j + -6/7. Factor -k*f**3 - 2/3*f**2 + 2/3*f + 2/3.
-2*(f - 1)*(f + 1)**2/3
Suppose 26*h - 513 + 435 = 0. Let z(o) be the second derivative of -2/13*o**2 + 1/39*o**4 - 4*o - 1/39*o**h + 0 + 1/130*o**5. Factor z(b).
2*(b - 1)*(b + 1)*(b + 2)/13
Let z(v) be the third derivative of -v**5/80 + 3*v**4/8 - 11*v**3/8 - 88*v**2. Solve z(d) = 0 for d.
1, 11
Find q, given that 82/5*q + 2/5*q**2 - 84/5 = 0.
-42, 1
Let y be -1 - (1 - 7 - 1). Suppose 0 = -4*f + 2 + y. Factor -2*d**5 - 4*d**4 - d**4 - 3*d**4 - f*d**3 + 4*d**4.
-2*d**3*(d + 1)**2
Solve -4/5*n - 2*n**2 - 2/5*n**3 + 16/5 = 0 for n.
-4, -2, 1
Let -399*q**5 + 394*q**5 + 2*q**4 - 60*q**3 - 40*q**2 - 32*q**4 = 0. Calculate q.
-2, 0
Determine q, given that 48/11*q - 2/11*q**4 - 12/11*q**3 - 2/11*q**2 + 40/11 = 0.
-5, -2, -1, 2
Let o = -386 - -389. Let c(j) be the first derivative of 1/3*j**6 - 1/2*j**4 + 6 + 2/5*j**5 + 0*j**2 - 2/3*j**o + 0*j. Let c(p) = 0. What is p?
-1, 0, 1
Let y = 1459 - 1456. Let g(z) be the first derivative of -3/5*z**2 - 15 - 3/20*z**4 + 0*z + 3/5*z**y. Solve g(m) = 0 for m.
0, 1, 2
Let x(i) be the third derivative of -i**5/60 + i**4/6 + 25*i**3/6 + 20*i**2. Let r be x(7). Let -1/2*p**r - 3/2*p**3 + 0 + 0*p**2 + 2*p = 0. What is p?
-2, 0, 1
Suppose 2*t - 3 = 1. Let u(g) = -g**3 - 2*g**2 - g + 2. Let l(v) = -2*v**3 - 5*v**2 - 3*v + 5. Let s(f) = t*l(f) - 5*u(f). Factor s(p).
p*(p - 1)*(p + 1)
Let q(r) = r**2 + 4*r + 11. Let i(d) = -d - 4. Let l(u) = 11*i(u) + 4*q(u). Let f(k) = -k**2 - k. Let z(a) = 6*f(a) + 2*l(a). Find t, given that z(t) = 0.
-2, 0
Let s be 1654/(-140) - (-6)/(-21). Let u = s + 25/2. Solve u*g**3 + 0 + 0*g**2 + 0*g = 0 for g.
0
Suppose 0 = -5*r - r - 2*r. Let x(v) be the second derivative of -3/2*v**2 - 1/2*v**3 + r + 3/20*v**5 + v + 1/4*v**4. Let x(w) = 0. What is w?
-1, 1
Let x(l) be the third derivative of -2/15*l**5 - 1/3*l**3 + 1/105*l**7 - 7/24*l**4 + 0 + 0*l - 2*l**2 - 1/60*l**6 + 1/336*l**8. Let x(o) = 0. What is o?
-1, 2
Let t(r) be the second derivative of 9*r - 1/2*r**3 - 2 + 1/4*r**4 + 3/20*r**5 - 1/10*r**6 + 0*r**2. Factor t(m).
-3*m*(m - 1)**2*(m + 1)
Let d be (-2)/(-7) - (-260)/70. Suppose 0 = h - d*n + 2, n = 2*h + 2*h - 7. Factor -3/2*i**h - 3/2*i - 1/2 - 1/2*i**3.
-(i + 1)**3/2
Determine g, given that -2/3*g**2 + 2/9*g**3 - 2/9*g + 4/9 + 2/9*g**4 = 0.
-2, -1, 1
Let w(z) be the third derivative of -4/45*z**3 - 1/450*z**5 + 0 + 1/36*z**4 + 11*z**2 + 0*z. Factor w(x).
-2*(x - 4)*(x - 1)/15
Suppose -7*i = -i - 12. Factor t**5 - 3*t**3 + 2*t**3 - 308*t**2 - 3*t**4 + 311*t**i.
t**2*(t - 3)*(t - 1)*(t + 1)
Let l be -6 + (319/44 - 7)*104/3. Suppose 0 + 8/3*s**2 - 10/3*s**5 + 4/3*s**4 - l*s + 10*s**3 = 0. Calculate s.
-1, 0, 2/5, 2
Let j be (-1520)/(-36) + 2/(-9). Let b = j - 40. What is u in 1/2 + 1/2*u**b + u = 0?
-1
Suppose i - 3 = -1. Factor -2*g**2 + 20 + 7*g**2 + 0*g**i - 25*g.
5*(g - 4)*(g - 1)
Let v(u) be the third derivative of -u**6/360 + u**5/45 + u**4/18 - 8*u**3/9 - 6*u**2 - 5. Factor v(n).
-(n - 4)*(n - 2)*(n + 2)/3
Solve 39*s**4 - 33*s**3 - 162*s**2 + 125*s - 26*s**4 + 26*s**4 + 24 + 7*s = 0.
-2, -2/13, 1, 2
Suppose 8*k - 45 + 13 = 0. Suppose -2 - 14 = -k*h. Factor -2/9*r**5 + 4/9*r**3 + 0*r**h - 2/9*r + 0 + 0*r**2.
-2*r*(r - 1)**2*(r + 1)**2/9
Suppose -5*u - 18 = 2*a, 2 = -4*a - 14. Let s be (4/(-30))/(u/3). What is r in 0 - 1/5*r + 1/5*r**3 - s*r**4 + 1/5*r**2 = 0?
-1, 0, 1
Let k(y) be the second derivative of 2/15*y**2 + 41*y + 0 + 1/15*y**3 + 1/90*y**4. Suppose k(n) = 0. Calculate n.
-2, -1
Factor -2/3*d**2 + 0 + 0*d - 8/3*d**3.
-2*d**2*(4*d + 1)/3
Suppose 11*u + 290 - 334 = 0. Let p(q) be the first derivative of -1/3*q**3 + 0*q + 0*q**2 - 10 - 1/2*q**u - 1/5*q**5. Determine b so that p(b) = 0.
-1, 0
Let k(w) be the first derivative of -21*w**4/4 - 9*w**3 + 18*w**2 + 12*w + 5. Factor k(l).
-3*(l - 1)*(l + 2)*(7*l + 2)
Let o(k) be the second derivative of 7*k**5/30 - 62*k**4/9 - 53*k**3 - 42*k**2 - k + 168. Suppose o(v) = 0. Calculate v.
-3, -2/7, 21
Let v(m) = 5*m**3 - 3*m**2 + 3. Let a(d) = -5*d**3 + 9*d**2 -