vative of -1/3*s**3 + 0*s - 1/132*s**4 + 0 - 1/1980*s**6 - 1/330*s**5 + 2*s**2. Let c(w) be the first derivative of i(w). Factor c(a).
-2*(a + 1)**2/11
Suppose -2 - 3 = -d. Let n be ((-1)/d)/(12/(-20))*0. Factor 0*o + n + 3*o**3 + 3/2*o**2.
3*o**2*(2*o + 1)/2
Let g = 8920/7 - 1274. Factor 2/7 - g*w**2 + 0*w.
-2*(w - 1)*(w + 1)/7
Let g(z) be the second derivative of -11/2*z**3 + 24*z + 0 + 1/4*z**4 + 0*z**2. Factor g(q).
3*q*(q - 11)
Let v be ((-26)/26)/((-2)/((-2)/(-7))). Let o(l) be the second derivative of 1/21*l**4 + 11*l + 0 + 0*l**3 - v*l**2 - 1/105*l**6 + 0*l**5. Factor o(g).
-2*(g - 1)**2*(g + 1)**2/7
Let u(n) be the third derivative of -n**6/40 + 13*n**4/8 + 6*n**3 + 104*n**2. Factor u(s).
-3*(s - 4)*(s + 1)*(s + 3)
Let h = 42232/3 - 14076. Factor 0 - 1/3*o**3 + 1/3*o**4 + 4/3*o - h*o**2.
o*(o - 2)*(o - 1)*(o + 2)/3
Let t(l) be the third derivative of l**6/480 + l**5/48 + 7*l**4/96 + l**3/8 - 3*l**2 + 1. Factor t(n).
(n + 1)**2*(n + 3)/4
Let c = -22051/5 + 4318. Let f = 93 + c. Solve 0*o**2 + 0 + f*o**4 + 2/5*o**5 + 0*o + 2/5*o**3 = 0.
-1, 0
Suppose 4*w + 5*y = -24, -2*w - 4*y = y + 22. Let p be 1/(w/10*-2). Suppose 5*k**5 - k**4 - k**3 - 5*k**5 - 4*k**5 + k**2 + 5*k**p = 0. Calculate k.
-1, 0, 1
Solve 0*o + 0 + 2/3*o**5 - 2/3*o**3 + 8/3*o**2 - 8/3*o**4 = 0.
-1, 0, 1, 4
Let c(x) = -x**2 - x - 1. Let f be c(0). Let l(n) = -n**2 + 2*n - 2. Let y(d) = -d + 2*d + 2 - 3. Let j(q) = f*l(q) + 2*y(q). Let j(a) = 0. Calculate a.
0
Suppose -6*v = -3*v. Let z(s) = -2*s + 3. Let t be z(v). Factor -3*n**2 + 5*n**4 - 3*n**4 + 5*n**5 + 2*n - t*n**3 + n**4 - 4*n**3.
n*(n - 1)*(n + 1)**2*(5*n - 2)
Let g be 8/(2 - 0) + 3 + -5. Determine j, given that -26*j - 2*j**g + 9*j - 50 - 3*j = 0.
-5
Let n(z) be the first derivative of 1/4*z**4 + 2/3*z**3 + 36 + 0*z + 1/2*z**2. Find k such that n(k) = 0.
-1, 0
Suppose -30 = -5*s - 0*s - 4*w, 2*w - 14 = -2*s. Factor f**2 + 62 - f - 56 - s*f**2.
-(f - 2)*(f + 3)
Let x(j) be the third derivative of j**5/45 + 5*j**4/18 - 33*j**2 - j. Let x(y) = 0. Calculate y.
-5, 0
Let w(f) = -28*f - 140. Let c be w(-5). Let u(s) be the second derivative of -3*s - 1/34*s**4 - 1/255*s**6 + 3/170*s**5 + 0 + c*s**2 + 1/51*s**3. Factor u(h).
-2*h*(h - 1)**3/17
Let c(f) be the first derivative of 2*f**6/33 + 58*f**5/55 + 5*f**4 + 40*f**3/33 - 112*f**2/11 - 98*f/11 - 128. Let c(k) = 0. Calculate k.
-7, -1, -1/2, 1
Let g(s) be the third derivative of s**8/336 + s**7/42 + 7*s**6/120 + s**5/20 + 3*s**2 - 5*s. Factor g(z).
z**2*(z + 1)**2*(z + 3)
Factor 38*g - 13 - 36*g**2 - 39*g**3 + 18*g**3 + 18*g**3 + 13*g**3 + g**4.
(g - 1)**3*(g + 13)
Let c = -8794 - -26413/3. Find o such that c*o**2 + 2 - 14/3*o**3 + 31/3*o = 0.
-1/2, -2/7, 3
Let m = 1869 + -1866. Suppose 0 - 2*j + 4/3*j**2 - 2/9*j**m = 0. What is j?
0, 3
Let g be -2 + (5 - 4) + 1. Solve 13*v + g*v**2 - 5*v + 4*v**2 = 0.
-2, 0
Factor -35/4*d**3 - 45*d - 10 - 75/2*d**2.
-5*(d + 2)**2*(7*d + 2)/4
Determine k, given that -1/3*k**5 + 34/3*k**2 - 8*k**3 + 8/3*k**4 - 23/3*k + 2 = 0.
1, 2, 3
Factor -14*y + 56*y + 39 + 2779*y**2 - 2776*y**2.
3*(y + 1)*(y + 13)
Let q be ((-2)/(-4))/((-4)/80). Let h = q - -12. Factor 3*n**3 + 0*n**2 - 12*n**h + 20*n - 8*n.
3*n*(n - 2)**2
Let y(t) = -7*t**3 - 16*t**2 + 63*t + 75. Let w(k) = 20*k**3 + 48*k**2 - 188*k - 224. Let x(q) = 3*w(q) + 8*y(q). Factor x(l).
4*(l - 3)*(l + 1)*(l + 6)
Let d(t) be the second derivative of t**4/6 - 25*t**3/3 - 308*t. Factor d(o).
2*o*(o - 25)
Suppose -9*u = 3*u - 24. Let s(t) be the second derivative of 4*t + 0*t**u - 1/40*t**5 + 0 + 1/12*t**4 + 0*t**3. Factor s(q).
-q**2*(q - 2)/2
Factor -1/4*t**2 + 3/4*t - 1/2.
-(t - 2)*(t - 1)/4
Factor -2242/3*f**2 - 2527*f**3 - 8/3 - 692/9*f - 6859/9*f**4.
-(f + 3)*(19*f + 2)**3/9
Let f(c) be the first derivative of -c**4/4 - 10*c**3/3 - 19*c**2/2 - 8*c + 9. Let v be f(-8). Factor -7 + 3*w**2 + 2*w**2 - w**2 + v*w + 19.
4*(w + 1)*(w + 3)
Let j(n) = 0*n**2 + 11 + n**3 + 5*n - 4 + 4*n**2. Let a be j(-3). Factor a - 2*w**3 + 3*w**3 - 2 + 3*w - 3*w**2 + 0.
(w - 1)**3
Solve 16/3*y + 5 + 1/3*y**2 = 0.
-15, -1
Let k = 5156 + -36075/7. Solve 6/7 + 17/7*i + 3/7*i**4 - k*i**3 - 9/7*i**2 = 0 for i.
-1, -1/3, 1, 6
Let s(q) be the first derivative of -2*q**3/9 + 170*q**2/3 - 14450*q/3 - 351. Suppose s(x) = 0. What is x?
85
Let w(v) = v**3 - 5*v**2 + 3*v + 2. Let l be w(4). Let h = -6/5 - l. Determine x, given that 6/5*x + h - 4/5*x**2 = 0.
-1/2, 2
Let r(p) be the third derivative of -5*p**2 + 0 - 1/9*p**3 + 0*p**7 - 1/24*p**4 + 0*p + 1/90*p**5 + 1/90*p**6 - 1/1008*p**8. Let r(i) = 0. What is i?
-1, 1, 2
Suppose 0 + 2/3*i + 1/6*i**2 = 0. Calculate i.
-4, 0
Let x(r) be the second derivative of -r**4/24 - r**3/6 + 3*r**2/4 + 18*r + 1. Determine f so that x(f) = 0.
-3, 1
Let o(t) be the second derivative of t**5/130 + 2*t**4/39 + 4*t**3/39 - 8*t - 6. Solve o(g) = 0 for g.
-2, 0
Let n(p) be the first derivative of -p**6/27 + 2*p**5/15 + p**4/18 - 22*p**3/27 + 4*p**2/3 - 8*p/9 - 77. Solve n(r) = 0 for r.
-2, 1, 2
Let l = -11/2 + 35/6. Let v(u) = -u**3 + 5*u + 5. Let h be v(-1). Factor -4/3*g - l*g**2 - h.
-(g + 1)*(g + 3)/3
Let k(v) be the first derivative of 1/3*v**4 + 0*v + 4/9*v**2 - 2/3*v**3 - 2/45*v**5 + 14. Factor k(a).
-2*a*(a - 4)*(a - 1)**2/9
Let c = -109803/4 - -27451. Factor 3/4*s**2 - 3/4*s**3 + c*s**4 + 0 - 1/4*s.
s*(s - 1)**3/4
Let r(x) be the first derivative of 2*x**3/51 - 100*x**2/17 + 5000*x/17 + 384. Factor r(t).
2*(t - 50)**2/17
Let v(y) = y**2 - 2*y. Let m(u) = 4*u**2 - 20*u - 24. Let x(d) = -3*m(d) + 15*v(d). Factor x(f).
3*(f + 4)*(f + 6)
Suppose 11*o - 15*o = 12, 3*y - 2*o = 6. Factor -4/5*f**2 + 4/5 + y*f.
-4*(f - 1)*(f + 1)/5
Let v(h) be the first derivative of 3*h**4/4 - h**3 - 51*h**2/2 - 45*h + 284. Let v(s) = 0. What is s?
-3, -1, 5
Let p(w) be the third derivative of -w**5/330 - w**4/33 - w**3/11 + 2*w**2 - 24. Let p(y) = 0. What is y?
-3, -1
Solve -188*i**3 + 2760 + 188*i - 1357 - 84*i**2 - 1347 + 28*i**4 = 0 for i.
-1, -2/7, 1, 7
Let y = -285 - -298. Let g(m) be the first derivative of 2*m**6 - 2/5*m**5 + 2*m**3 - 11/2*m**4 + 5*m**2 - 4*m - y. Determine a, given that g(a) = 0.
-1, 1/2, 2/3, 1
Solve 2/5*h**2 - 1/5*h**3 + 0*h - 1/5*h**4 + 0 = 0 for h.
-2, 0, 1
Let i(a) be the first derivative of 0*a + 1/22*a**4 + 12 + 8/33*a**3 + 3/11*a**2. Solve i(f) = 0 for f.
-3, -1, 0
Let l(w) = -w**5 + w**4 + w**2 - w + 1. Let y(x) = 2*x**5 - 4*x**4 + x**3 - 2*x**2 + 3*x - 3. Let s(z) = 3*l(z) + y(z). Let s(u) = 0. What is u?
-1, 0, 1
Let o(v) be the first derivative of -4*v**7/105 + v**6/10 - v**5/15 - 3*v**2/2 - 9. Let g(m) be the second derivative of o(m). Factor g(y).
-4*y**2*(y - 1)*(2*y - 1)
Let j = -152 - -159. Suppose 15*a - j*a = 24. Solve -12/7*q + 6/7*q**4 + 2/7 + 24/7*q**2 - 20/7*q**a = 0.
1/3, 1
Suppose -149 = -5*o + 3*n, o + 3*n - n = 22. Suppose g = -g + o. Let 10*x**3 + g*x**3 - 23*x**3 - x = 0. Calculate x.
-1, 0, 1
Let i be -1*(-4)/(-8)*-6. Factor 38*v**i - 2*v**2 - 38*v**3 + 7 - 6 + v**4.
(v - 1)**2*(v + 1)**2
Let v(c) be the first derivative of 3*c**5/5 + 33*c**4/4 + 33*c**3 + 27*c**2/2 - 162*c + 449. Factor v(b).
3*(b - 1)*(b + 3)**2*(b + 6)
Factor 162*d**2 - 305*d**2 + 144*d**2 + 100 - 20*d.
(d - 10)**2
Suppose 111*t - 3*t = 0. Let q(z) be the third derivative of -1/2*z**5 + t*z + 0 - 4/3*z**3 + 3/2*z**4 + 4*z**2 + 7/120*z**6. Factor q(y).
(y - 2)**2*(7*y - 2)
Let x(m) be the second derivative of 0 + 1/4*m**5 + 3/4*m**4 + 1/30*m**6 + m**2 + 11*m + 7/6*m**3. Factor x(a).
(a + 1)**3*(a + 2)
Suppose -2*a - 9 = -4*n - 1, -3*a - 2*n = -12. Suppose k - a = 1. Solve 2*d**k + 5*d**2 - d**3 - 6*d**2 = 0.
0, 1
Factor -2/3*y**2 - 140/3*y + 142/3.
-2*(y - 1)*(y + 71)/3
Let u(w) be the first derivative of -2/3*w + 16/9*w**3 - 6 - 5/6*w**2 - 3/4*w**4. Factor u(b).
-(b - 1)**2*(9*b + 2)/3
Let x(c) be the second derivative of c**5/10 - 9*c**3 - 54*c**2 + 611*c. Factor x(i).
2*(i - 6)*(i + 3)**2
Let v(a) be the first derivative of a**3 - 33*a**2 + 363*a + 177. Factor v(u).
3*(u - 11)**2
Let z be 1*-3 - -2 - (3 - 6). Suppose 3*o - z = 4. Factor -18*u**o - 8/5 - 162/5*u**3 + 64/5*u.
-2*(u + 1)*(9*u - 2)**2/5
Let b(h) be the third derivative of h**6/24 - 7*h**5/4 + 15*h**4 - 170*h**3/3 - 395*h**2. Suppose b(c) = 0. What is c?
2, 17
Factor 21252*j**2 - 40*j**3 - 41589*j**2 + 21152*j**2 