vative of -t**7/315 - t**6/18 - 3*t**5/10 - 5*t**4/9 - t**3/6 + 14*t. Let m(o) be the second derivative of q(o). Factor m(u).
-4*(u + 2)*(u + 5)*(2*u + 1)/3
Let v(b) = -b**4 - b**2 + 4*b - 2. Let o(f) be the second derivative of -f**6/15 + 5*f**3/6 - 3*f**2/2 - 14*f. Let r(t) = -4*o(t) + 6*v(t). Factor r(z).
2*z*(z - 1)**2*(z + 2)
Let p(n) be the first derivative of n**6/180 - n**5/30 + n**4/12 - 13*n**3/3 + 5. Let i(d) be the third derivative of p(d). Suppose i(k) = 0. What is k?
1
Let k = -778 - -783. Suppose -2/9*w**3 + 0*w - 4/9*w**2 - 8/3*w**k + 0 + 50/9*w**4 = 0. Calculate w.
-1/4, 0, 1/3, 2
Let u = -319 + 589. Let o be 684/u + (-4)/(-6). Factor o*f**2 + 4/5*f + 4/5*f**5 + 24/5*f**3 + 0 + 16/5*f**4.
4*f*(f + 1)**4/5
Suppose 10 = 2*i - 4*i. Let w be 12/30 + i/((-200)/74). Factor -7/4*j**2 + w*j - 1/2.
-(j - 1)*(7*j - 2)/4
Let g(m) be the first derivative of m**5/100 + m**4/20 - 3*m**3/10 + m**2/2 + 18*m + 25. Let r(k) be the first derivative of g(k). Factor r(s).
(s - 1)**2*(s + 5)/5
Solve -180*n**3 - 20*n + 781*n**2 - 60 - 418*n**2 + 722*n**2 = 0 for n.
-2/9, 1/4, 6
Let m = 43348/3 - 14449. Factor 1/3*r - 2/3 - m*r**3 - 1/3*r**4 + r**2.
-(r - 1)**2*(r + 1)*(r + 2)/3
Let j(g) = g**4 - 5*g**2 - 3*g + 4. Let x = -48 + 56. Let u(m) = 3*m**4 - 14*m**2 - 8*m + 11. Let l(a) = x*j(a) - 3*u(a). Factor l(d).
-(d - 1)**2*(d + 1)**2
Factor 0*v - 1/5 + 1/5*v**2.
(v - 1)*(v + 1)/5
Let o(z) be the first derivative of 14*z**6/3 - 40*z**5 + 112*z**4 - 424*z**3/3 + 82*z**2 - 16*z - 45. Solve o(u) = 0.
1/7, 1, 4
Let d = 1 - -2. Let v be (2/3)/(1/6). Factor -v*k**d + 3 + 10*k**3 - 9*k + 9*k**2 - 4*k**3 - 5*k**3.
-3*(k - 1)**3
Let k(c) = 12*c**3 - 2*c**2 + 10*c. Let r(z) = -7*z**3 + z**2 - 6*z. Let l(u) = 6*k(u) + 10*r(u). Determine x so that l(x) = 0.
0, 1
Factor 11/2*y - 1/2*y**2 + 13.
-(y - 13)*(y + 2)/2
Let a be 3*(0 + (-4)/(-12)). Suppose -2*m - 2 = -2*w, -a = 8*m - 7*m. Find x, given that -1/2 + 1/2*x**2 + w*x = 0.
-1, 1
Let f(h) = -9*h**2 + 186*h - 9041. Let n(u) = 16*u**2 - 373*u + 18078. Let z(m) = -14*f(m) - 8*n(m). Determine w so that z(w) = 0.
95
Let z(w) = -w**2 - 1. Let y(j) = -j**2 - 3*j + 8. Let x be ((-16)/(-12))/((-2)/(-3)). Let g(q) = x*z(q) + y(q). Find u such that g(u) = 0.
-2, 1
Let f be -15 + 10 + (-282 - 3). Let w = f - -1452/5. Factor -w*x**2 + 7/5*x**3 + 0*x + 0 + 4/5*x**4.
x**2*(x + 2)*(4*x - 1)/5
Suppose -6*v = -4 - 8. Let f be ((-1)/(-3)*2)/(v/9). Factor 0*x + 0 - 4/3*x**4 + 2/3*x**f + 0*x**2 + 2/3*x**5.
2*x**3*(x - 1)**2/3
Let m(f) = 5*f**3 - 3*f**2 - 12*f + 2. Let d(o) = -21*o**3 + 12*o**2 + 51*o - 9. Let w(y) = 2*d(y) + 9*m(y). Suppose w(r) = 0. What is r?
-1, 0, 2
Factor 0 - 2/9*l**2 + 46/9*l.
-2*l*(l - 23)/9
Let r(p) = p**3 - p**2 - p - 3. Let i(m) = 8*m**3 - m**2 - 22*m - 13. Let s(d) = -3*i(d) + 21*r(d). Let s(u) = 0. Calculate u.
-8, 1
Suppose -3*s = o + 436 - 442, 0 = -s + 4*o + 28. Solve 2*p - 3*p**2 + s - 1/2*p**4 - 5/2*p**3 = 0.
-2, 1
Suppose 171*b = 4*z + 173*b + 4, 5*b + 10 = 2*z. Factor -4/7*a - 2/7*a**3 + 6/7*a**2 + z.
-2*a*(a - 2)*(a - 1)/7
Suppose -2*j + j = 6. Let p be (-22)/j + (-1)/(-3). What is o in -6 + 2*o + 3 - p*o**2 + 4*o**4 - 2*o**5 + 3 = 0?
-1, 0, 1
Let x(l) be the first derivative of -5*l**4/2 - 7*l**3/3 - 9. Let q(c) = -5*c**3 - 4*c**2. Let v(i) = -13*q(i) + 6*x(i). Determine b, given that v(b) = 0.
-2, 0
Let k(u) be the second derivative of -u**6/480 - u**5/16 - 25*u**4/32 + u**3/3 + 11*u. Let z(x) be the second derivative of k(x). Suppose z(p) = 0. Calculate p.
-5
Let f(r) be the second derivative of r + 0 + 2/3*r**3 - 1/1800*r**6 + 0*r**2 + 1/150*r**5 - 1/30*r**4. Let k(i) be the second derivative of f(i). Factor k(t).
-(t - 2)**2/5
Let d = -4701 - -4704. Suppose -5/2*s**4 - 20*s + 5/2*s**2 + 10 + 25/2*s**d - 5/2*s**5 = 0. What is s?
-2, 1
Let k(a) be the first derivative of a**3/3 + 4*a**2 + a + 194. Let c = -33 - -54. Let h(o) = -9*o**2 - 81*o - 9. Let w(f) = c*k(f) + 2*h(f). Factor w(v).
3*(v + 1)**2
Let u(p) = -11*p**4 + 7*p**3 + 11*p**2 - 17*p. Let x(h) = 5*h**4 - 4*h**3 - 5*h**2 + 8*h. Let k(j) = -2*u(j) - 5*x(j). Solve k(y) = 0.
-1, 0, 1, 2
Let z(q) be the second derivative of q**6/2160 + q**5/360 + 5*q**3/6 - 3*q. Let i(m) be the second derivative of z(m). Factor i(w).
w*(w + 2)/6
Let q(a) be the second derivative of a**7/28 - 13*a**6/20 + 69*a**5/20 + 5*a**4/4 - 175*a**3/4 - 375*a**2/4 + 403*a. Factor q(g).
3*(g - 5)**3*(g + 1)**2/2
Let y(t) = -5*t**2 + 15*t. Let j(r) = -55*r**2 + 165*r. Suppose -3*n = 4*q + 211, -333 = 5*n - q + 3*q. Let o(w) = n*y(w) + 6*j(w). Factor o(z).
-5*z*(z - 3)
Factor -3 + 5*w**5 + 168*w**3 + 12*w**3 + 60*w**4 + 3.
5*w**3*(w + 6)**2
Suppose 1/2*d - 5/4*d**2 - 1/8*d**3 + 1/8*d**4 + 3 = 0. What is d?
-2, 2, 3
Let d(n) be the third derivative of 0 + 2/15*n**3 + 1/150*n**5 - 1/20*n**4 + 0*n + 5*n**2. Let d(t) = 0. Calculate t.
1, 2
Let t(z) = -260*z**2 + 1855*z + 595. Let a(p) = 29*p**2 - 206*p - 66. Let r(n) = 55*a(n) + 6*t(n). Factor r(m).
5*(m - 6)*(7*m + 2)
Let s(u) = 3*u**2 - 19*u - 22. Let p(x) = 3*x**2 - 21*x - 24. Let m(j) = 4*p(j) - 3*s(j). Suppose m(r) = 0. Calculate r.
-1, 10
Let t(v) = 12*v**2 - 105*v - 75. Let o(j) = -3*j**2 + 26*j + 19. Let c(g) = 21*o(g) + 5*t(g). Solve c(k) = 0.
-1, 8
Let y be 5/(-15) - 26/(-52). What is u in -7/6*u - 1/3 - 3/2*u**2 - y*u**4 - 5/6*u**3 = 0?
-2, -1
Solve -119*m**5 - 3*m - 339*m**4 - 122*m**5 + 250*m**5 + 105 + 858*m**3 - 630*m**2 = 0 for m.
-1/3, 1, 35
Suppose 14*p - 14 = 7*p. Factor 3*w**2 - 4 + 0 + p*w + 3*w**2.
2*(w + 1)*(3*w - 2)
Let p(y) be the third derivative of -y**7/7560 - y**6/1080 - y**5/360 + 13*y**4/24 + 10*y**2. Let z(o) be the second derivative of p(o). Factor z(r).
-(r + 1)**2/3
Let x(z) = 6*z**2 - 2*z + 1. Suppose 5*u + 2 = 7. Let v be x(u). Factor 20*b - b**v + b**3 - 20*b.
-b**3*(b - 1)*(b + 1)
Let m = -207660/37 + 5613. Let h = -9/407 + m. Factor 2/11*t**2 + h*t + 4/11.
2*(t + 1)*(t + 2)/11
Let r(l) = l**2 - 4*l - 5. Let u be r(4). Let v(k) = k**2 + 3*k - 4. Let x be v(u). Factor 2 + 2*q**2 + 2*q + 16*q**3 + 4*q**5 - x*q**2 - 14*q**4 - 6*q.
2*(q - 1)**4*(2*q + 1)
Let h be (-8)/10 + 1 + 136/(-30). Let t = -4 - h. Let -t*o**3 + 0 + 0*o + 0*o**2 = 0. What is o?
0
Let i(j) be the third derivative of j**6/300 + j**5/75 - 13*j**4/60 + 2*j**3/3 - 128*j**2. Solve i(t) = 0.
-5, 1, 2
Suppose 2*l = 5*g - 3*l - 15, 4*g - 5*l = 11. Suppose -2*f - 6 = -g*f. Suppose -5*s**2 + f*s**2 + 1 - 5 - 4 + 8*s = 0. Calculate s.
2
Let c(o) be the second derivative of o**8/1344 - o**6/144 + o**4/3 + 9*o. Let d(a) be the third derivative of c(a). Suppose d(l) = 0. Calculate l.
-1, 0, 1
Let m = -8263 + 8268. Suppose 20/3*t**4 - 32/3*t**3 - 4/3*t**m + 16/3*t**2 + 0 + 0*t = 0. Calculate t.
0, 1, 2
Let f be (-364)/455*20/(-104). Find v, given that 4/13 - 2/13*v**4 - f*v**2 + 6/13*v - 6/13*v**3 = 0.
-2, -1, 1
Let j(w) = -5*w**2 - 6*w - 4. Let b(q) = -11*q**2 - 13*q - 9. Let l = 32 + -36. Let t(z) = l*b(z) + 9*j(z). Determine p so that t(p) = 0.
-2, 0
Suppose 2*p + 3*b - 8 = 0, 5*p - 4*b - 1 - 19 = 0. Factor 12/5*o**3 + 0*o + 0 - 12/5*o**2 - 3/5*o**p.
-3*o**2*(o - 2)**2/5
Let y(z) be the second derivative of z**5/140 - 3*z**4/7 + 54*z**3/7 - 107*z. Factor y(k).
k*(k - 18)**2/7
Let y = -4 - -16. Let q be 2/y + 282/36. Solve -8*x**4 + 16*x**2 - 3*x**4 - 4 - 2*x**3 - q*x**4 + 2*x + 7*x**4 = 0 for x.
-1, -2/3, 1/2, 1
Let z(k) be the third derivative of -k**6/900 - k**5/225 + k**4/36 + 2*k**3/15 + 110*k**2. What is a in z(a) = 0?
-3, -1, 2
Let v(h) = h - 1. Let x(u) = -u**2 - 5*u + 2. Let r(b) = -3*v(b) - x(b). Find i, given that r(i) = 0.
-1
Let z(g) = g**4 - g + 1. Let q = -11 - -39. Let l = q + -4. Let k(p) = 10*p**4 - p**3 - p**2 - 8*p + 8. Let o(t) = l*z(t) - 3*k(t). Solve o(i) = 0.
-1/2, 0, 1
Let c(v) be the second derivative of -1/8*v**5 + 0*v**2 + 1/30*v**6 + 0 - 1/4*v**4 + 0*v**3 + 28*v + 1/84*v**7. Find u, given that c(u) = 0.
-3, -1, 0, 2
Let a be 16/(-192) - 148/(-48). Let -2/9*p**a - 2/9*p**4 + 2/3*p**2 + 4/9 + 10/9*p = 0. Calculate p.
-1, 2
Let j = 14 - 11. Suppose -2*b = -2*s + 4, 6*s - j*s + 3*b - 12 = 0. Factor -l**s + 0*l**3 + l - l**3 + l**3.
-l*(l - 1)*(l + 1)
Let a be 1/4 - (-19)/4. Suppose -2*l + 6*l - 20 = 0. Factor -2*p**5 - 6*p**3 + 4*p**4 + p**5 + 2*p**l - p + 4*p**2 - 2*p**a.
-p*(p - 1)**4
Suppose -2*c =