e the third derivative of c(q). Factor h(o).
5*(o - 5)*(o + 2)**2
Suppose 32/5*s**3 - 16/5 + 9/5*s**2 + 7/5*s**4 - 32/5*s = 0. Calculate s.
-4, -1, -4/7, 1
Suppose 6*s = s + 30. Suppose -26*l**3 - 16*l**2 - s*l**2 - 8*l - 2*l**2 - 2*l**5 - 12*l**4 = 0. What is l?
-2, -1, 0
Let m be ((-721)/(-42) + -2)*(-8)/(-42). Let z = 2938/9 + -326. Factor -m*w - z - 14/3*w**2.
-2*(3*w + 1)*(7*w + 2)/9
Let n(p) be the third derivative of -p**8/1344 + p**6/240 - p**4/96 + 302*p**2. Determine a, given that n(a) = 0.
-1, 0, 1
Let p = 4 - 15. Let q(a) = a**3 + 11*a**2 + 2. Let s be q(p). Let -6*o**3 + 0*o**4 - o**5 + o**4 - 5*o**4 - 4*o**s - o = 0. What is o?
-1, 0
Let w(y) = 232*y**3 + 516*y**2 + 230*y - 156. Let f(a) = -21*a**3 - 47*a**2 - 21*a + 14. Let u(i) = -68*f(i) - 6*w(i). Let u(g) = 0. Calculate g.
-2, -1, 2/9
Let p(b) = -2 - 7*b + 15*b - 3*b**2 + 13*b. Let j(r) = -r + 1. Let l(c) = -14*j(c) + 2*p(c). Solve l(m) = 0.
1/3, 9
Let k(m) = -31*m**2 - 9*m + 5. Let c(r) = -16*r**2 - 5*r + 3. Let b(f) = -10*c(f) + 6*k(f). Factor b(v).
-2*v*(13*v + 2)
Let t(p) be the first derivative of -2/39*p**3 + 3/13*p**2 - 12 + 8/13*p. Factor t(x).
-2*(x - 4)*(x + 1)/13
Let z(d) be the third derivative of -2*d**2 + 0 + 1/42*d**7 + 1/6*d**5 - 1/8*d**6 + 0*d + 0*d**4 + 0*d**3. Determine k, given that z(k) = 0.
0, 1, 2
Let b(q) be the third derivative of q**6/600 - 2*q**5/75 + 13*q**4/120 - q**3/5 + 251*q**2. Factor b(u).
(u - 6)*(u - 1)**2/5
Find h such that -4/9*h**5 + 4/9*h**4 - 8/9*h + 4/3*h**3 + 0 - 4/9*h**2 = 0.
-1, 0, 1, 2
Let j(k) be the second derivative of -k**4/4 + 5*k**3/2 - k + 7. Factor j(n).
-3*n*(n - 5)
Let x(c) be the first derivative of -c**5/10 + 15*c**4/8 + 8*c**3/3 + 196. Factor x(v).
-v**2*(v - 16)*(v + 1)/2
Let f(s) be the first derivative of 0*s + 10 + 0*s**2 - 3/5*s**5 - 5*s**3 - 9/2*s**4. Let f(x) = 0. What is x?
-5, -1, 0
Let i be 2 - (54/24)/((-2)/48). Factor -4 + i*l - 20*l**2 - 8*l**2 - 8 - 16*l**3.
-4*(l - 1)*(l + 3)*(4*l - 1)
Let b(t) be the third derivative of -1/480*t**6 - 4*t**2 - 1/80*t**5 + 0 - t**3 + 0*t - 1/32*t**4. Let z(s) be the first derivative of b(s). Factor z(l).
-3*(l + 1)**2/4
Find r such that -3/5*r**5 + 9/5*r + 0 + 12/5*r**4 - 12/5*r**2 - 6/5*r**3 = 0.
-1, 0, 1, 3
Let m = 4897 + -44071/9. Let -4/9*a**2 + 2/9*a**4 + 4/9*a**3 + 2/9 - 2/9*a - m*a**5 = 0. What is a?
-1, 1
Let o(b) = 2*b**2 + 13*b. Let j(u) = 6*u**2 + 40*u. Suppose -20 = -9*x + 4*x, 36 = 2*a + 5*x. Let l(i) = a*o(i) - 3*j(i). Factor l(y).
-2*y*(y + 8)
Let h(k) be the second derivative of -k**6/120 + 5*k**5/16 + 13*k**4/24 - 179*k. Factor h(y).
-y**2*(y - 26)*(y + 1)/4
Suppose -4*t = -5 - 3. Factor 12*i**t - 15*i**2 - 18*i**3 + 5*i - 5*i.
-3*i**2*(6*i + 1)
Factor 4/5*g**2 - 312/5 - 148/5*g.
4*(g - 39)*(g + 2)/5
Let z(u) be the second derivative of 10/33*u**3 + u**2 + 0 - 1/66*u**4 - 41*u. Let z(p) = 0. What is p?
-1, 11
Let c(i) be the second derivative of -i**6/270 + 53*i**5/180 - 13*i**4/27 - 16*i + 8. Suppose c(t) = 0. What is t?
0, 1, 52
Let c be ((-160)/(-25))/((-1)/5). Let g be (18/(-8))/(12/c). Solve 42 - 42 + g*t**2 + 3*t = 0.
-1/2, 0
Let f(t) be the third derivative of t**8/112 - 3*t**6/20 - 2*t**5/5 - 3*t**4/8 - 2*t**2 - 1. Determine k, given that f(k) = 0.
-1, 0, 3
Let c(m) = 204*m**3 + 328*m**2 + 132*m - 36. Let y(a) = -29*a**3 - 47*a**2 - 19*a + 5. Let z(v) = -6*c(v) - 44*y(v). Find o such that z(o) = 0.
-1, 1/13
Let b(c) be the first derivative of -15/2*c**2 - 15 - c**3 - 12*c. Factor b(v).
-3*(v + 1)*(v + 4)
Let x(c) be the third derivative of -c**8/84 - 2*c**7/105 + 4*c**6/5 - 8*c**5/3 - 8*c**4/3 + 32*c**3 - 71*c**2. Factor x(s).
-4*(s - 2)**3*(s + 1)*(s + 6)
Let c(g) be the third derivative of g**10/90720 - g**9/45360 - g**8/10080 - 7*g**4/24 - 34*g**2. Let z(s) be the second derivative of c(s). Factor z(u).
u**3*(u - 2)*(u + 1)/3
Let w be 79/9 + (-2)/(-9). Let s be (-4 - -2 - (-201)/99)*w. Factor 3/11*p + 2/11 - 1/11*p**2 - 1/11*p**4 - s*p**3.
-(p - 1)*(p + 1)**2*(p + 2)/11
Let b(j) = -j**2 - 204*j - 3179. Let n be b(-17). Let -7/2*d**2 - 1/10*d**4 + n - 5/2*d - 11/10*d**3 = 0. What is d?
-5, -1, 0
Let q(a) be the first derivative of -a**5/5 - 3*a**4/2 - 8*a**3/3 + 3*a**2 + 9*a - 68. Factor q(y).
-(y - 1)*(y + 1)*(y + 3)**2
Factor 4/9 + 14/3*r - 22/9*r**2.
-2*(r - 2)*(11*r + 1)/9
Let -384*u**2 + 60*u**4 + 36*u**5 + 726*u**3 + 64*u - 284*u**4 - 246*u**3 = 0. What is u?
0, 2/9, 2
Let m(b) = -b**3 - 2*b**2 - 4*b. Let v(t) = 24*t + 10*t**3 - 4*t**3 + 11*t**2 + 0*t**3. Let r(u) = -39*m(u) - 6*v(u). Factor r(g).
3*g*(g + 2)**2
Let y(w) be the third derivative of -w**8/672 + w**7/60 - w**6/30 - 2*w**5/15 + 4*w**2 + 2. Let y(j) = 0. Calculate j.
-1, 0, 4
Let j = 4251 - 144553/34. Let y = -1/17 - j. Factor m - 1/2 - y*m**2.
-(m - 1)**2/2
Let q(d) be the second derivative of 0 + 1/19*d**2 - 1/114*d**4 + 1/57*d**3 - 7*d - 1/190*d**5. Factor q(p).
-2*(p - 1)*(p + 1)**2/19
Let t be (492/861)/(22/7). Factor -4/11*v**4 - t*v**3 + 0*v**2 + 0*v + 0 - 2/11*v**5.
-2*v**3*(v + 1)**2/11
Let z be 291/(-12) - (-5)/20. Let i be 3/(-2)*z/63. Find k, given that 16/7*k**2 - i - 2/7*k - 10/7*k**3 = 0.
-2/5, 1
Let g = 668 + -70139/105. Let h(j) be the third derivative of g*j**5 - 3*j**2 - 1/735*j**7 + 0 + 0*j + 0*j**4 - 1/21*j**3 + 0*j**6. Factor h(n).
-2*(n - 1)**2*(n + 1)**2/7
Let d(w) be the first derivative of 5/4*w**2 - 1/20*w**5 + 2 - w**3 + 3/8*w**4 - 3/4*w. Let d(t) = 0. Calculate t.
1, 3
Let b(n) be the first derivative of -5*n**4/4 - 35*n**3/3 - 55*n**2/2 - 25*n + 78. Factor b(l).
-5*(l + 1)**2*(l + 5)
Let j = -2168/105 + 145/7. Let h(g) be the third derivative of 0 - j*g**5 + 4*g**2 - 1/6*g**4 + 0*g + 0*g**3. Factor h(a).
-4*a*(a + 1)
Find j such that 28/3*j**2 + 2/3 + 3*j**3 + 7*j = 0.
-2, -1, -1/9
Suppose -3/8*q + 0 - 3/4*q**3 + 9/8*q**2 = 0. What is q?
0, 1/2, 1
Let n be (0*(7/(-21))/(-1))/(-3). Find q such that -2*q**2 + 0*q - 1/2*q**3 + n = 0.
-4, 0
Let l(a) be the first derivative of a**4/3 - 196*a**3/9 + 1150*a**2/3 + 2500*a/3 - 97. Solve l(m) = 0 for m.
-1, 25
Factor -119/5 + 24*c - 1/5*c**2.
-(c - 119)*(c - 1)/5
Let a(v) be the first derivative of 7*v**4/24 + v**3/9 - 21*v**2/4 - 3*v - 946. Let a(f) = 0. Calculate f.
-3, -2/7, 3
Suppose 5*w + 5*k = 40 + 25, -w + 18 = 2*k. Find n such that 2*n**2 + 0*n**2 + 11 - 3 - w*n = 0.
2
Let z be (-360)/(-42) + -14 + 1 + 7. Find h such that -8/7 + z*h**2 + 32/7*h = 0.
-2, 2/9
Let t(w) be the first derivative of -2/5*w**5 + 1/2*w**4 + 4/3*w**3 - 19 - 1/2*w**2 - 2*w - 1/6*w**6. Factor t(o).
-(o - 1)**2*(o + 1)**2*(o + 2)
Let s(n) be the first derivative of n**8/2520 - n**7/210 + n**6/60 + n**3 - 2. Let p(k) be the third derivative of s(k). Suppose p(x) = 0. Calculate x.
0, 3
Let x(h) be the first derivative of h**6/6 - 9*h**5/5 + 7*h**4/2 + 2*h**3/3 - 15*h**2/2 + 7*h + 186. Factor x(r).
(r - 7)*(r - 1)**3*(r + 1)
Let f(v) = -2*v**2 - 8*v. Let m(h) = -4*h - 1 + 4 - 2 + 5*h. Let b(g) = 7*g**3 + g**2 + g - 1. Let n be b(1). Let k(u) = n*m(u) + f(u). Factor k(s).
-2*(s - 2)*(s + 2)
Let u(g) = -3*g**3 - 14*g**2 - 64*g - 222. Let t be u(-4). Factor -4/5*i**t - 16/5*i - 16/5.
-4*(i + 2)**2/5
Suppose 15/2*t - 3/2*t**2 - 9 = 0. What is t?
2, 3
Find u, given that 22/9*u - 22/9*u**3 + 2*u**2 - 20/9 + 2/9*u**4 = 0.
-1, 1, 10
Let s(r) be the first derivative of -r**4/28 - 4*r**3/21 - 3*r**2/14 - 285. Factor s(u).
-u*(u + 1)*(u + 3)/7
Let b(m) = -2*m**2 + 11*m - 4. Let q(f) = -3*f**2 + 12*f - 3. Let u(j) = -6*b(j) + 5*q(j). Solve u(r) = 0.
-3, 1
Let t(d) be the first derivative of d**6/33 + 2*d**5/55 - 3*d**4/11 + 307. Solve t(m) = 0.
-3, 0, 2
Let o(i) be the second derivative of i**6/15 - 17*i**5/10 + 5*i**4/2 + 17*i**3/3 - 16*i**2 - 66*i. Find u such that o(u) = 0.
-1, 1, 16
Let y be 2/6*(14 - 14). Suppose c - 4 = y, k + 5*c - 32 = -3*k. Factor 1/3*j**4 + 1/3 + 1/3*j + 1/3*j**5 - 2/3*j**2 - 2/3*j**k.
(j - 1)**2*(j + 1)**3/3
Let v(s) be the third derivative of -s**6/280 - 3*s**5/28 - 9*s**4/8 - 81*s**3/14 - 96*s**2. Factor v(d).
-3*(d + 3)**2*(d + 9)/7
Let h(k) = 2*k**3 - 42*k**2 - 7*k + 147. Let w be h(21). Solve -15/4*j**3 + w + 0*j**2 + 0*j + 5/4*j**4 = 0 for j.
0, 3
Let i(r) = r**2 - 98. Let x be i(10). Solve 2/5*p**4 - 2/5*p**x - 3/5*p + 0 - p**5 + 8/5*p**3 = 0 for p.
-1, -3/5, 0, 1
Suppose 3*u + 4*u = 14. Suppose 3*j**4 +