hird derivative of 1/3*y**3 - 1/120*y**6 + 5*y**2 + 0*y + q*y**4 + 0*y**5 + 0. Let k(g) = 0. Calculate g.
-1, 2
Let t(n) = n**4 - n**3 - n. Let g(x) = 20*x**4 - 44*x**3 + 4*x**2 + 44*x - 48. Let p(u) = -g(u) + 24*t(u). Let p(j) = 0. What is j?
-4, -3, 1
Let j(k) be the third derivative of k**8/336 + 2*k**7/105 + k**6/24 + k**5/30 + 319*k**2. Factor j(x).
x**2*(x + 1)**2*(x + 2)
Suppose -3*q + 3*f - 8 = -71, 0 = 4*f + 8. Let g(p) = -3*p**2 + 47*p + 19. Let b be g(16). Suppose 0 + 25*h**2 + 5*h**b + 15*h - 26 - q = 0. Calculate h.
-3, 1
What is r in 25/4*r**2 - 7/2*r - 17/4*r**4 - 5/4*r**5 - 2 + 19/4*r**3 = 0?
-4, -1, -2/5, 1
Let q(u) = -2*u**2 + 29*u + 17. Let n(z) = -2*z**2 - z + 1. Let a(f) = 2*n(f) - q(f). Factor a(w).
-(w + 15)*(2*w + 1)
Suppose 0 = -3*p + 26 - 5. Let t be -5 + 2 - p/(-2). Suppose -t - 1/4*l**2 + 3/4*l = 0. What is l?
1, 2
Let m(i) be the third derivative of -i**5/15 + i**4/2 + 20*i**3/3 - 25*i**2. Determine x so that m(x) = 0.
-2, 5
Let i(s) = 13*s**2 + 106*s + 35. Let l(w) = 155*w**2 + 1270*w + 420. Let o(b) = 25*i(b) - 2*l(b). Let o(j) = 0. Calculate j.
-7, -1/3
Let j = -254 - -256. Let d(m) be the first derivative of 5 - 54/7*m**3 - 8/7*m + 36/7*m**j. Factor d(l).
-2*(9*l - 2)**2/7
Let c(q) = -8*q**2 + 46*q - 28. Let g be c(5). Factor -4/5*a - 16/5*a**3 + 6/5 - 26/5*a**g.
-2*(a + 1)**2*(8*a - 3)/5
Suppose 0 = -3*m - 2*m - 10. Let s be (m/(-10))/(42/105). Factor -1/2*a**2 + 0 + 0*a + s*a**3.
a**2*(a - 1)/2
Let g be (-88)/30 - (-24 - -21). Let t(l) be the second derivative of -g*l**6 + 0 + 0*l**3 + 0*l**5 - l**2 + 1/3*l**4 - 3*l. Factor t(r).
-2*(r - 1)**2*(r + 1)**2
Let b(d) be the second derivative of -1/21*d**7 + 0 - 3/10*d**5 + 0*d**3 - 1/6*d**4 + 0*d**2 - 1/5*d**6 + 12*d. Determine x so that b(x) = 0.
-1, 0
Let h(x) be the first derivative of 0*x**4 + 0*x**2 + 0*x - 1/10*x**5 - 5 + 1/6*x**3. Factor h(b).
-b**2*(b - 1)*(b + 1)/2
Let n = -4 + 7. Let h(t) = -t**3 + 9*t**2 + 11*t - 9. Let i be h(10). Factor -i + 4*k**2 + k + 0*k**3 - k**n - 3*k**2.
-(k - 1)**2*(k + 1)
Let i(c) = c**2 + c - 1. Let d(n) = 3*n**2 + 2*n - 3. Let x(t) = -2*d(t) + 5*i(t). Let m(p) = -p**3 + 7*p**2 - 6*p - 5. Let w(s) = m(s) + 5*x(s). Factor w(r).
-r*(r - 1)**2
Let c(a) be the first derivative of -a**5/210 + a**4/42 - 4*a**2/21 - 18*a + 4. Let u(b) be the first derivative of c(b). Factor u(l).
-2*(l - 2)**2*(l + 1)/21
Let j be 10 - (1 - -1 - -2). Let t(g) = -2*g - j*g**2 + 4*g + 4 - 2*g + 4*g**3. Let q(o) = o**3 + o + 1. Let u(d) = -6*q(d) + t(d). What is r in u(r) = 0?
-1
Let k be 60/75*(-75)/2. Let f be (-70)/k*2/14. Solve 2/3*s**2 + 1/3*s**3 + 0 + f*s = 0.
-1, 0
Let g = 138149/78780 - 37/1212. Let j = g + -12/13. Find u such that j*u + 0 - 2/5*u**2 - 2/5*u**3 = 0.
-2, 0, 1
Let g(l) = 18*l**2 - 80*l - 26. Let h(o) = -36*o**2 + 161*o + 51. Let z(k) = 11*g(k) + 6*h(k). Factor z(w).
-2*(w - 5)*(9*w + 2)
Let x be ((-177)/(-6))/((-7)/(-14)). Let o = x + -31. Factor 2*p**2 + 11 - o - 4*p + 17.
2*p*(p - 2)
Let v(g) be the third derivative of g**7/630 - g**6/30 + 4*g**5/15 - 7*g**4/8 + 20*g**2. Let t(w) be the second derivative of v(w). Let t(q) = 0. What is q?
2, 4
Let d(b) be the second derivative of -25*b**4/12 - 320*b**3/3 + 130*b**2 - 7*b + 2. Factor d(u).
-5*(u + 26)*(5*u - 2)
Let z(o) be the second derivative of -2*o**7/147 + 2*o**6/105 + o**5/35 - o**4/21 + 29*o. Factor z(r).
-4*r**2*(r - 1)**2*(r + 1)/7
Let t(s) be the second derivative of -3/4*s**4 - s**2 - 6*s + 11/6*s**3 + 0. Suppose t(j) = 0. Calculate j.
2/9, 1
Solve -8/3*p**2 + 308/3*p + 2/3*p**4 + 98 - 20/3*p**3 = 0 for p.
-3, -1, 7
Let r(d) = d**2 + 10*d + 5. Let f be r(-10). Determine c so that -f*c**3 + 7*c**2 - 5*c**4 + 2*c**2 + c**2 = 0.
-2, 0, 1
Let k(f) = -15*f - 656. Let w be k(-44). What is y in 0*y**3 + 0 + 0*y + 4/9*y**2 - 4/9*y**w = 0?
-1, 0, 1
Suppose 0 = -g - 1, 0 = -3*f + 5*g - 0*g + 131. Let h be 40/f + 16/(-24). What is n in 0*n - h*n**2 + 2/7 = 0?
-1, 1
Factor -11/3*r - 2 + 2/3*r**2.
(r - 6)*(2*r + 1)/3
Let g(x) be the first derivative of -7*x**6/660 - 13*x**5/330 - 5*x**4/132 + x**3/33 - 5*x**2 + 38. Let k(s) be the second derivative of g(s). Factor k(v).
-2*(v + 1)**2*(7*v - 1)/11
Let i = -69 - -279/4. Let p(y) be the first derivative of -3 + i*y**2 + 0*y + 5/6*y**3. Factor p(f).
f*(5*f + 3)/2
Let f(u) = -u**2 + 10*u - 16. Let t be f(7). Suppose -6*g**5 + 4*g**5 - 4*g**t + g**5 = 0. What is g?
0
Let l(h) be the third derivative of -13*h**2 + 2/9*h**3 + 0*h - 1/180*h**5 - 1/18*h**4 + 0 + 1/360*h**6. Determine o so that l(o) = 0.
-2, 1, 2
Let q(r) = -5*r**2 - 295*r + 610. Let a(h) = 2*h**2 + 98*h - 204. Let z(s) = -10*a(s) - 3*q(s). What is w in z(w) = 0?
-21, 2
Factor -r**2 + 3/2*r**4 - r**3 + 3/2*r - 1/2 - 1/2*r**5.
-(r - 1)**4*(r + 1)/2
Let g(q) be the first derivative of -4*q**3/3 + 20*q**2 - 100*q + 294. Solve g(h) = 0.
5
Let o(w) be the first derivative of -w**7/98 + 3*w**5/140 - 14*w - 13. Let q(v) be the first derivative of o(v). Determine s so that q(s) = 0.
-1, 0, 1
Let j be -55*(84/30)/(-7). Let y be j/(-55)*(-3 + -2). Let 2/3*g**2 + 2*g**3 - y*g - 2/3 = 0. What is g?
-1, -1/3, 1
Suppose -4*o - 5 = u, -2 = -2*u - 0*o - 2*o. Factor -6 - 6*q**u + 12*q**2 - 3*q**4 + 4*q - 6 + 2*q + 3.
-3*(q - 1)**2*(q + 1)*(q + 3)
Factor -18/5*g + 0 + 3/5*g**2.
3*g*(g - 6)/5
Let c(m) = -m. Let b(n) = 2*n**2 - 18*n + 5. Let x(h) = -3*b(h) + 21*c(h). Factor x(v).
-3*(v - 5)*(2*v - 1)
Factor 8*q + 8 - 5*q - q**2 - q**2 + 3*q.
-2*(q - 4)*(q + 1)
Let t(v) = v**3 - v**2 - 4*v - 2. Let d = 13 - 15. Let c(x) = x**3 - 3*x - 2. Let l(s) = d*t(s) + 3*c(s). Factor l(n).
(n - 1)*(n + 1)*(n + 2)
Let k(z) be the second derivative of z**6/75 - 2*z**5/25 + z**4/15 + 4*z**3/15 - 3*z**2/5 - 81*z. Determine l, given that k(l) = 0.
-1, 1, 3
Suppose 3 + 16 = 5*f - a, -a = 4. Suppose -3*c + 9 = 2*o, 0*c = o + f*c - 6. Factor -2*u**3 - 9*u**2 - 6*u - 12*u - o*u**2.
-2*u*(u + 3)**2
Let u(b) be the third derivative of b**8/504 - 19*b**7/315 + 7*b**6/36 - 17*b**5/90 - 565*b**2. Find j, given that u(j) = 0.
0, 1, 17
Let p(b) be the second derivative of -3/2*b**4 - 19*b - 10*b**3 + 1/2*b**6 + 39/20*b**5 + 0 + 12*b**2. Factor p(r).
3*(r - 1)*(r + 2)**2*(5*r - 2)
Let p = 22657 + -90627/4. Factor 1/4*y + 0 - p*y**3 + 0*y**2.
-y*(y - 1)*(y + 1)/4
Let i(x) be the second derivative of -x**9/30240 + x**8/16800 + x**7/8400 - x**6/3600 + 4*x**3/3 + x. Let t(p) be the second derivative of i(p). Factor t(u).
-u**2*(u - 1)**2*(u + 1)/10
Let f(c) be the third derivative of -c**8/504 + c**7/105 - c**6/60 + c**5/90 + 2*c**2 - 10. Determine k, given that f(k) = 0.
0, 1
Suppose 0 = -0*g - g + 2*l + 12, 2*l + 10 = 0. Let v = 6 - 4. Factor -4*h + g*h + 3*h + h - 2*h**v.
-2*h*(h - 1)
Factor 18 + 8*q**2 + 16*q + 11*q**2 - 30*q**2 + 9*q**2.
-2*(q - 9)*(q + 1)
Let i(l) be the first derivative of -6/25*l**5 + 0*l + 4/5*l**4 - 2/15*l**6 - 2/5*l**3 + 0*l**2 - 36. Solve i(b) = 0 for b.
-3, 0, 1/2, 1
Suppose 0 = m + k + 12 - 9, 5*k + 15 = m. Let j(d) be the third derivative of m*d + 0 - 2/15*d**3 + 1/150*d**5 + 5*d**2 + 1/60*d**4. Factor j(l).
2*(l - 1)*(l + 2)/5
Let c(i) be the second derivative of i**4/32 + i**3/4 + 9*i**2/16 - 9*i - 5. Factor c(p).
3*(p + 1)*(p + 3)/8
Suppose 4*t + 3*g = -g + 236, -4*t + 254 = -5*g. Let x = -58 + t. Factor -8/9*h**x + 0 + 4/9*h + 2/9*h**2 - 2/3*h**4.
-2*h*(h + 1)**2*(3*h - 2)/9
Let t(i) be the first derivative of -19 + i**2 - i**3 + 0*i + 1/4*i**4. Factor t(n).
n*(n - 2)*(n - 1)
Let r = -11186 + 11189. Suppose 3*d**2 - 39/2*d**r + 39/2*d - 3 = 0. Calculate d.
-1, 2/13, 1
Factor 0*r**2 + 0 - 9/7*r**3 + 0*r + 3/7*r**4.
3*r**3*(r - 3)/7
Factor 0 - 20*f**2 + 1/5*f**3 + 500*f.
f*(f - 50)**2/5
Let r(n) be the second derivative of -1/120*n**4 + 0 - 1/4*n**2 + 14*n + 1/10*n**3. What is o in r(o) = 0?
1, 5
Let g be (54/(-4))/(4/((-16)/(-2))). Let s be (136/g - -5)*-3. Factor -1/3 + s*j**2 - 2/9*j.
(j - 3)*(j + 1)/9
Let d(h) be the first derivative of 6*h**3 + 9*h**4 - 13 - 16*h**3 + 5*h**5 - 10*h**2 + 5*h - 4*h**4. Factor d(m).
5*(m - 1)*(m + 1)**2*(5*m - 1)
Let t be (5 - (-2247)/(-567))*(2/(-14) - -1). What is b in t + 2/9*b**2 - 10/9*b = 0?
1, 4
Let w(d) = -2*d**5 - 12*d**3 + 6*d - 4. Let j(z) be the first derivative of -z**6/6 - z**5/5 - z**4/4 + z**3/3 - z - 12. Let x(t) = -4*j(t) + w(t). Factor