 = 28*k(i) + 2*u(i). Factor l(p).
-4*(p - 4)*(p - 1)
Let o(k) be the third derivative of -1/12*k**3 + 1/120*k**5 + 0*k + 3*k**2 - 1/16*k**4 + 0 + 1/80*k**6. Factor o(s).
(s - 1)*(s + 1)*(3*s + 1)/2
Let y = 648 + -646. Factor -2/5*b**3 + 6/5*b**2 + 4/5 - 2/5*b**4 + y*b.
-2*(b - 2)*(b + 1)**3/5
Let r(w) be the second derivative of -w**5/15 - 278*w**4/3 - 154568*w**3/3 - 42969904*w**2/3 + 3*w + 66. Factor r(b).
-4*(b + 278)**3/3
Find z, given that -44/7*z**3 + 2/7*z**5 + 4/7*z**2 + 6*z - 22/7 + 18/7*z**4 = 0.
-11, -1, 1
Let c(i) be the second derivative of i**8/36960 + i**7/13860 + i**4/12 + 17*i. Let r(y) be the third derivative of c(y). Let r(q) = 0. Calculate q.
-1, 0
Let j(c) be the first derivative of -c**4/42 - 44*c**3/63 - 76*c**2/21 - 48*c/7 + 274. Factor j(t).
-2*(t + 2)**2*(t + 18)/21
Let n be (-4)/(-6)*(-696)/(-16). Suppose 4*p + 11 + 9 = 4*m, 8 = m - 2*p. Solve m*d**5 - 3*d**5 - 28*d**3 + d**4 + n*d**3 - d**2 = 0.
-1, 0, 1
Let w(v) = 2*v**4 - 30*v**3 + 84*v**2 - 80*v + 27. Let z(y) = -2*y**2 + 2*y - 1. Let d(m) = w(m) + 3*z(m). Factor d(x).
2*(x - 12)*(x - 1)**3
Let m(k) = 24*k**4 - 111*k**3 + 66*k**2 + 9*k + 4. Let h(f) = -23*f**4 + 112*f**3 - 67*f**2 - 13*f - 3. Let p(w) = 4*h(w) + 3*m(w). Factor p(n).
-5*n*(n - 5)*(n - 1)*(4*n + 1)
Suppose 3*m + 4*v = 41, 0 = 5*m - v - 4*v - 45. Let t = 13 - m. Suppose -23*l**3 + t*l**5 + 10*l**4 + 5*l - l + 14*l**2 + 41*l**3 = 0. Calculate l.
-2, -1, 0
Let b be -4 + 2 + (17 - 13). Factor -2/9*m**4 + 0*m**b + 0*m + 0 - 4/9*m**3.
-2*m**3*(m + 2)/9
Let a(i) = 3*i**5 - 20*i**4 - i**3 + 46*i**2 + 7*i. Let c(q) = q**5 - 7*q**4 + 16*q**2 + 2*q. Let d(b) = -6*a(b) + 17*c(b). Factor d(v).
-v*(v - 2)**2*(v + 1)*(v + 2)
Let h(i) be the third derivative of 0*i - 27*i**2 + 0 + 0*i**3 + 1/20*i**6 + 1/40*i**5 - 1/4*i**4 - 1/140*i**7. Let h(n) = 0. What is n?
-1, 0, 1, 4
Factor 33*y**3 - 111*y**3 - 96*y + 15*y**4 + 212138*y**5 + 160*y**2 - 212139*y**5.
-y*(y - 6)*(y - 4)**2*(y - 1)
Let b(w) be the first derivative of w**7/42 + w**6/30 - w**5/20 - w**4/12 + 28*w - 6. Let z(h) be the first derivative of b(h). Suppose z(d) = 0. What is d?
-1, 0, 1
Let y be 214/30 + (-137 - -130). Factor 0 - 2/15*z**2 - 2/15*z**5 + 0*z + 2/15*z**4 + y*z**3.
-2*z**2*(z - 1)**2*(z + 1)/15
Determine j so that -19*j**2 + 157*j - 37*j + 137*j**3 + 69*j**4 - 122*j**3 + 9*j**5 - 494*j**2 + 300 = 0.
-5, -2/3, 1, 2
Let c(d) be the third derivative of d**7/5040 + d**6/288 + d**5/60 + 5*d**4/6 - 3*d**2. Let q(v) be the second derivative of c(v). Find u such that q(u) = 0.
-4, -1
Let b(h) = -4*h - 35. Let p be b(-8). Let d(a) = -a**2 + 3*a - 2. Let v(l) = -2*l**2 + 6*l - 4. Let j(s) = p*v(s) + 5*d(s). Factor j(o).
(o - 2)*(o - 1)
Let c(p) be the second derivative of 0*p**5 - 3*p + 1/7*p**4 + 0 - 2/105*p**6 + 0*p**2 + 4/21*p**3. Factor c(q).
-4*q*(q - 2)*(q + 1)**2/7
Suppose -l = 21*k - 20*k + 1, 4*k + 24 = l. Find p such that 25/4*p**3 + 1/4*p**5 + 7*p - 2 - 19/2*p**2 - 2*p**l = 0.
1, 2
Let d(q) be the first derivative of 3*q**5/5 - 62*q**4/3 + 680*q**3/3 - 400*q**2 + 15*q - 36. Let y(w) be the first derivative of d(w). Solve y(t) = 0 for t.
2/3, 10
Let c be 7/((-140)/12) + (-216)/(-60). Suppose -8/17*q**4 + 0 + 2/17*q**5 + 2/17*q - 8/17*q**2 + 12/17*q**c = 0. Calculate q.
0, 1
Let t(g) be the first derivative of 2/15*g**3 + 4 - 6/5*g + 2/5*g**2. Determine d so that t(d) = 0.
-3, 1
Solve 100/3 + 7/6*o**3 + 110*o - 23*o**2 = 0.
-2/7, 10
Let z(l) = l**3 - l - 1. Let h(x) = -3*x + 11. Let s be h(4). Let c(u) = 10*u**3 - 20*u + 5. Let m(b) = s*c(b) + 5*z(b). Determine g, given that m(g) = 0.
-2, 1
Let c(k) be the first derivative of k**3/24 - 3*k**2/8 - 7*k/8 + 42. Factor c(x).
(x - 7)*(x + 1)/8
Let p = 1166 + -1162. What is z in -2/5*z**p + 8/5*z + 8/5*z**3 - 2/5 - 12/5*z**2 = 0?
1
Let k = -459 - -1378/3. Solve -k*w**3 - 2/3*w + 0 - w**2 = 0.
-2, -1, 0
Let q(u) be the second derivative of 3*u**5/20 - u**4 - 5*u**3/2 + 3*u - 5. Factor q(l).
3*l*(l - 5)*(l + 1)
Solve 35*y + 35/2*y**2 - 5*y**3 + 25/2 = 0 for y.
-1, -1/2, 5
Let u = 410 - 407. Let q(l) be the second derivative of 0 - 5*l + 1/30*l**4 - 1/25*l**5 + 1/75*l**6 + 0*l**u + 0*l**2. Factor q(i).
2*i**2*(i - 1)**2/5
Let l = 293/362 - 56/181. Determine k so that 3/4*k**2 + 0 + 0*k**3 - l*k - 1/4*k**4 = 0.
-2, 0, 1
Suppose 3*c + 3*f = 2*f - 258, -336 = 4*c + 4*f. Let h be c/(-290)*((-32)/6)/(-2). Factor -4/5 - h*x - 1/5*x**2.
-(x + 2)**2/5
Let y(k) be the second derivative of k**8/420 - k**7/210 - k**6/90 + k**5/30 + 3*k**3 - 3*k. Let t(u) be the second derivative of y(u). Factor t(p).
4*p*(p - 1)**2*(p + 1)
Let k(x) = -x**5 + 19*x**4 + 51*x**3 + 35*x**2 + 16*x. Let n(c) = 5*c**5 - 75*c**4 - 205*c**3 - 140*c**2 - 65*c. Let o(q) = 25*k(q) + 6*n(q). Factor o(d).
5*d*(d + 1)**3*(d + 2)
Let q(y) = -y**3 + y**2 + 2*y + 1. Let i(w) = -5*w**3 + 15*w**2 + 36*w + 26. Let k(g) = i(g) - 6*q(g). Find o, given that k(o) = 0.
-5, -2
Find v such that 92/3*v**2 + 28/3*v**3 - 88/3*v - 32/3 = 0.
-4, -2/7, 1
Let f(y) = 2*y**2 + 3*y + 2. Let o be f(-2). Let x be 14/o*(-80)/(-28). Factor 2*k**5 - x*k**3 + 3*k**3 - 2*k**4 + 2*k**2 + 0*k**5 + 5*k**3.
2*k**2*(k - 1)**2*(k + 1)
Find r such that -22/7*r**4 - 8/7*r**5 + 4/7*r**2 - 10/7*r**3 + 0 + 0*r = 0.
-2, -1, 0, 1/4
Let l(o) be the third derivative of o**6/60 - 52*o**5/15 - 31*o**2 + 5. Determine n, given that l(n) = 0.
0, 104
Let f(g) = -g**3 + 6*g**2 - 3*g - 1. Let d be f(6). Let p = d + 29. Suppose p*y - 3 + 6*y - 10*y**2 + 11 = 0. What is y?
-2/5, 2
Let r(w) be the third derivative of -w**5/360 + 29*w**4/72 - 841*w**3/36 - w**2 - 12. Factor r(q).
-(q - 29)**2/6
Let q(p) = 42*p - 84. Let h be q(2). Let f(s) be the first derivative of 3/2*s**4 + 4*s**2 - 4/5*s**5 - 1/3*s**6 + h*s + 16/3*s**3 - 5. What is o in f(o) = 0?
-2, -1, 0, 2
Let h(u) be the first derivative of -u**6/180 + u**5/60 - u**4/72 - 2*u + 16. Let p(x) be the first derivative of h(x). Factor p(j).
-j**2*(j - 1)**2/6
Suppose 1 = 9*x - 53. Let g(b) be the third derivative of 0*b**3 - 1/20*b**5 + 0*b - 3/40*b**x + 3*b**2 + 0 + 1/4*b**4. Factor g(d).
-3*d*(d + 1)*(3*d - 2)
Let t(a) = a**2 + 20*a + 19. Let p(r) = r**2 - 1. Let o be (-5)/(-6) + (205/(-30) - -7). Let z(g) = o*t(g) - 5*p(g). Determine i, given that z(i) = 0.
-1, 6
Let n(p) be the first derivative of p**6/80 - 3*p**5/40 + 3*p**4/16 - p**3/4 - 5*p**2/2 + 18. Let j(q) be the second derivative of n(q). Factor j(y).
3*(y - 1)**3/2
Let z(x) be the second derivative of -1/60*x**6 + 0 + 25/12*x**3 + 0*x**2 - 5/8*x**4 - 29*x - 9/40*x**5. Let z(d) = 0. What is d?
-5, 0, 1
Let v(w) be the second derivative of 0*w**2 + 1/3*w**4 + 0 + 1/2*w**5 - w**3 - 27*w - 4/15*w**6. Suppose v(g) = 0. What is g?
-3/4, 0, 1
Let f(d) = d**2 + 1. Let l be -6*((-9)/3 - -2). Suppose -l = g - 0. Let t(q) = 3*q**2 - 3*q + 12. Let a(v) = g*f(v) + t(v). Let a(x) = 0. Calculate x.
-2, 1
Factor -99 + 188*u**2 + 95 - 20*u**3 - 472*u + 80 + 84.
-4*(u - 5)*(u - 4)*(5*u - 2)
Let -50/7*r**2 + 0 - 67/7*r**3 + 9/7*r**5 - 16/7*r**4 - 8/7*r = 0. Calculate r.
-1, -2/9, 0, 4
Let 70*m**5 + 500*m**2 + 225*m**3 - 215*m**4 - 267*m**2 - 318*m**2 + 5*m = 0. What is m?
0, 1/14, 1
Let i(g) be the second derivative of 16*g - 1/4*g**4 + 0*g**2 + 1/2*g**3 + 0. Factor i(s).
-3*s*(s - 1)
Suppose 3*s - 3*w = -9, 0*s + 23 = -s + 5*w. Suppose 18*a**5 + 6*a + 1 - 16*a**5 + 3 - 4*a**s - 8*a**3 = 0. Calculate a.
-1, 1, 2
Let i(w) be the second derivative of -w**7/3780 - w**6/1620 - 25*w**3/6 - 11*w. Let b(z) be the second derivative of i(z). Factor b(x).
-2*x**2*(x + 1)/9
Factor 1/2*d**4 + 85750*d + 3675*d**2 + 70*d**3 + 1500625/2.
(d + 35)**4/2
Let w(d) be the second derivative of d**4/28 - 3*d**3 + 189*d**2/2 - 56*d + 2. Factor w(o).
3*(o - 21)**2/7
Let r(v) = 15*v**2 - 35*v + 20. Let c(w) = -w**2 + w. Let d = -100 + 90. Let y(m) = d*c(m) - r(m). Solve y(j) = 0.
1, 4
Let n(t) be the third derivative of t**6/120 + 17*t**5/60 + 11*t**4/6 + 14*t**3/3 + 201*t**2. Find s such that n(s) = 0.
-14, -2, -1
Let z(r) be the second derivative of r**3/6 + 12*r. Let p(a) = 4*a**3 - 24*a**2 + 56*a - 32. Let s(o) = -p(o) + 8*z(o). Find u such that s(u) = 0.
2
Let t(v) be the third derivative of -v**6/600 + v**5/50 + v**4/8 + 4*v**3/15 - 3*v**2 - 6. Suppose t(j) = 0. What is j?
-1, 8
Let v(s) be the second derivative of 