 be the second derivative of 0 - 1/20*d**4 + 3/100*d**5 + d - 1/10*d**3 + 3/10*d**2. Determine t, given that k(t) = 0.
-1, 1
Let a(z) = z**4 - 3*z**2 + z. Let v(b) = -8*b**4 + 12*b**3 + 4*b**2 - 4*b. Let o(w) = -4*a(w) - v(w). Suppose o(d) = 0. Calculate d.
0, 1, 2
Let w(x) be the third derivative of -x**5/15 - 12*x**2 - 4*x. Factor w(f).
-4*f**2
Let q(u) be the third derivative of 1/84*u**4 + 2/21*u**3 - 8*u**2 - 1/42*u**5 + 0 + 1/210*u**6 + 0*u. Find j, given that q(j) = 0.
-1/2, 1, 2
Let k(t) = 18*t**2 - 144*t + 166. Let s(g) = -5*g**2 + 48*g - 55. Let v(u) = -3*k(u) - 10*s(u). Factor v(o).
-4*(o - 1)*(o + 13)
Suppose 4*h = h + 12. Factor -12*y - 125*y**2 - 95*y**3 - 68*y - 11*y**h - 20 - 24*y**4 - 5*y**5.
-5*(y + 1)**3*(y + 2)**2
Let x(p) = -p**5 + p**3 + p**2 + p + 2. Let y(u) = 2*u**5 + 16*u**4 - 12*u**3 - 164*u**2 + 124*u + 504. Let s(m) = -4*x(m) - y(m). Find z, given that s(z) = 0.
-2, 4
Let w(n) be the third derivative of -n**9/120960 + n**8/40320 + n**7/5040 + 13*n**5/20 + 5*n**2. Let b(p) be the third derivative of w(p). Factor b(j).
-j*(j - 2)*(j + 1)/2
Let t(o) = 36*o**2 + 21*o - 32. Let u(d) = -13*d**2 - 7*d + 10. Let v(r) = 4*t(r) + 11*u(r). Factor v(j).
(j - 2)*(j + 9)
Let m(f) be the first derivative of -f**4/20 - 14*f**3/15 - 11*f**2/10 + 26*f/5 - 246. Factor m(u).
-(u - 1)*(u + 2)*(u + 13)/5
What is o in -22/9*o**3 - 80/9 - 2/9*o**4 - 28/3*o**2 - 136/9*o = 0?
-5, -2
Let c(h) be the first derivative of -7 - 1/3*h**2 + 2/3*h**3 + 1/6*h**4 - 2*h. Suppose c(t) = 0. Calculate t.
-3, -1, 1
Let z(p) be the first derivative of 3/8*p**2 - 1/8*p**4 + 1/5*p**5 - 1/3*p**3 + 0*p - 40 - 1/24*p**6. Find w, given that z(w) = 0.
-1, 0, 1, 3
Let h = -275 - -274. Let i be (-1)/(-3 - -4)*3/h. Find q, given that 0 - 6/7*q - 3/7*q**2 + 9/7*q**i = 0.
-2/3, 0, 1
Let j(o) = 4*o - 3. Let f be j(6). Let b = -19 + f. Solve 0 + 8 - 4*q**b + 0*q - 4*q = 0 for q.
-2, 1
Let m(s) be the third derivative of 0 + 1/80*s**5 - 1/840*s**7 - 1/480*s**6 + 2*s**2 + 0*s + 5/96*s**4 + 1/12*s**3. Factor m(l).
-(l - 2)*(l + 1)**3/4
Let h(l) = -l**3 - 3*l**2 + 28*l. Let r be h(4). Suppose r + 0*d + 0*d**2 + 2/3*d**4 - 2/3*d**3 = 0. What is d?
0, 1
Let z be 9 + 430*7/(-336). Let h(i) be the second derivative of 1/60*i**6 + z*i**4 - 5*i - 1/20*i**5 + 0*i**2 + 0*i**3 + 0. Factor h(r).
r**2*(r - 1)**2/2
Let j(t) be the first derivative of 6*t**6 - 116*t**5/5 + 15*t**4 + 100*t**3/3 - 48*t**2 + 16*t + 168. Let j(i) = 0. What is i?
-1, 2/9, 1, 2
Suppose 26 = 20*d - 14. Let k(l) be the first derivative of 1/12*l**4 - 1/6*l**d + 4 + 1/9*l**3 - 1/3*l. Solve k(v) = 0.
-1, 1
Suppose 11*o - 49 + 22 - 6 = 0. Factor 6/7*a**2 + 6/7*a + 2/7 + 2/7*a**o.
2*(a + 1)**3/7
Let d(q) be the second derivative of 0 + 1/24*q**4 + q**2 + 1/3*q**3 - 8*q. Factor d(o).
(o + 2)**2/2
Let m(o) be the first derivative of -2*o**5/5 - 9*o**4/2 - 12*o**3 + 4*o**2 + 48*o - 47. Suppose m(k) = 0. What is k?
-6, -2, 1
Let t be 86*(-5 - (-24)/4). Let v = t + -83. Let -27/2*p**4 - 18*p**2 + 5*p + 27*p**v - 1/2 = 0. What is p?
1/3, 1
Let r(p) = -5*p**3 + p**2 + 5*p + 3. Let d(q) = -q**3. Let f(c) = 4*d(c) - r(c). Factor f(b).
(b - 3)*(b + 1)**2
Let x(d) = -d**5 + 8*d**4 + 3*d**3 - 2*d + 2. Let h(s) = -9*s**5 + 57*s**4 + 21*s**3 - 15*s + 15. Let q(w) = -2*h(w) + 15*x(w). Suppose q(j) = 0. Calculate j.
-1, 0
Let b = 16463/9 - 1829. Factor -2/9*x**4 + 0 - 2/9*x**3 + b*x**2 + 2/9*x.
-2*x*(x - 1)*(x + 1)**2/9
Let d(k) be the third derivative of k**6/240 - 7*k**5/120 + 11*k**4/48 - 5*k**3/12 + 5*k**2 - 8. Solve d(q) = 0 for q.
1, 5
Factor 844*k - 12798*k**2 + 9069*k + 2966*k + 572*k - 2*k**4 - 322*k**3 - 329*k.
-2*k*(k - 1)*(k + 81)**2
Let n = 736/17 + 1243/51. Let y = n - 67. What is k in 6*k + y*k**5 + 28/3*k**3 + 32/3*k**2 + 4*k**4 + 4/3 = 0?
-2, -1
Let u(x) = -x - 6. Let i be u(-4). Let h = i - -5. Let h - 2 - 1 - 4*d**2 = 0. Calculate d.
0
Let i(a) be the third derivative of -a**8/40320 + a**7/5040 + a**6/480 - 3*a**5/20 + 32*a**2. Let v(z) be the third derivative of i(z). Let v(k) = 0. What is k?
-1, 3
Suppose 4*u = -4*u + 72. Let l be (24/u)/(1 - 0). Factor 10/9*j**4 + 0 + 0*j - l*j**3 + 8/9*j**2.
2*j**2*(j - 2)*(5*j - 2)/9
Let v(l) = -l**2 - 7*l + 6. Let d be v(-9). Let x = -9 - d. Factor 0*z**2 + 3*z - 2*z**2 + 2*z**2 - x*z**2.
-3*z*(z - 1)
Let t = -18 + 18. Let b = t - -4. What is s in -9*s + 9*s**2 - b + 4 + 3 - 3*s**3 = 0?
1
Let o(l) be the first derivative of l**4/8 - 49*l**3/6 - 101*l**2/4 - 51*l/2 + 162. Factor o(c).
(c - 51)*(c + 1)**2/2
Let s(b) = -2*b + 3. Let x be s(-1). Suppose 4*f - x - 3 = 0. Find d, given that -3*d**3 - 2*d**3 + 3*d**3 - 4*d**2 - f*d**3 = 0.
-1, 0
Let s(c) = -6*c**2 - 27*c - 54. Let n(b) = -3*b**2 - 14*b - 27. Let t(u) = 9*n(u) - 4*s(u). Factor t(r).
-3*(r + 3)**2
Suppose 5*t - 3*s = 24, t + 3*t = -4*s. Factor -3 + 8*h + 4*h**3 + t + 514*h**2 - 526*h**2.
4*h*(h - 2)*(h - 1)
Let q be (-30)/(-4)*6/9. Let p(w) = w**3 + 8*w**2 + 7*w + 5. Let z be p(-7). Factor -9*j + 6*j**2 + 4*j**z - j**q + 3 - 2*j**4 + 6*j**3 - 7*j**4.
3*(j - 1)**4*(j + 1)
Suppose 4*p + 3*q - 17 = 2*p, -p = 2*q - 11. Let a = p - -6. Suppose 22*u - a*u - 7*u + 4*u**2 = 0. What is u?
-2, 0
Let z be (-204)/85 + 72/30. Factor -3/4*n**2 + 3/4*n**3 + z*n + 0.
3*n**2*(n - 1)/4
Let h(q) be the third derivative of -q**7/42 - q**6/12 + q**5/3 + 5*q**4/3 + 8*q**2. Factor h(r).
-5*r*(r - 2)*(r + 2)**2
Let o(g) be the third derivative of g**6/300 + g**5/150 - 4*g**4/15 + 4*g**3/3 - 9*g**2 - 4*g. Factor o(d).
2*(d - 2)**2*(d + 5)/5
Let i(c) be the third derivative of -c**7/210 - 41*c**6/120 - 133*c**5/20 + 147*c**4/8 + 108*c**2. Determine n, given that i(n) = 0.
-21, 0, 1
Suppose -6*f + 4 = -5*f, 2*d = -2*f + 16. Let p(w) be the first derivative of -w**3 - 1/10*w**5 - 5 + 4*w + 5/8*w**d - w**2. Factor p(b).
-(b - 2)**3*(b + 1)/2
Let q(j) be the second derivative of 0 - 5/12*j**4 - 25/6*j**3 - 10*j**2 - 36*j. Factor q(p).
-5*(p + 1)*(p + 4)
Let o(y) = -18*y + 2. Let s be o(-1). Find n, given that -22*n**5 - 50*n**2 - 10*n**4 + 10 + 50*n**4 - 3*n**5 + s*n**3 + 5*n = 0.
-1, -2/5, 1
Let s = 3629 - 2533. Let p = -7657/7 + s. Find t such that 3/7*t**2 + 12/7 - p*t = 0.
1, 4
Solve -6/11*r + 28/11*r**3 - 8/11*r**2 - 6/11*r**5 + 0 - 8/11*r**4 = 0 for r.
-3, -1/3, 0, 1
Let y(m) = -5*m**4 - 13*m**3 + 19*m**2 + 13*m - 18. Let g(s) = 9*s**4 + 26*s**3 - 37*s**2 - 26*s + 35. Let b(o) = 4*g(o) + 7*y(o). Factor b(d).
(d - 1)**2*(d + 1)*(d + 14)
Suppose 79*c = 111*c - 96. Let y be -1 + 3/9*4. Factor 1/3*i**2 - 1/3*i**4 + 1/3*i**c + 0 - y*i.
-i*(i - 1)**2*(i + 1)/3
Let l be ((-377352)/(-567))/((-4)/6). Let u = -996 - l. Suppose -2/7*d**2 + u*d - 32/7 = 0. What is d?
4
Suppose -10 = -5*l, 0 = 3*t - 2*l + 3*l - 8. Factor -20*x + 0*x**3 + 3*x**3 + x**t + 8*x**2 + 26*x.
3*x*(x + 1)*(x + 2)
Let q = 607/290 - 52/29. Let p(b) be the second derivative of -3/10*b**3 - 7*b - 3/100*b**5 + 0 + 3/20*b**4 + q*b**2. Suppose p(r) = 0. What is r?
1
Let l(b) be the third derivative of 0*b**3 + 1/150*b**5 + 0*b + 0 + 1/60*b**4 + 3*b**2. Find m such that l(m) = 0.
-1, 0
Suppose 4*t - 6*t + w + 129 = 0, t = -2*w + 62. Find y such that -36*y**3 + 11 - 84*y**2 - t*y - 46 + 19 = 0.
-1, -2/3
Let f(w) = -2*w**2 + 16*w - 12. Let a be f(7). What is l in -2*l**a - 8 + 26*l - 18*l + 0*l**2 = 0?
2
Let w(s) be the second derivative of -s**6/15 + 9*s**5/5 + 10*s**4/3 - 6*s**3 - 19*s**2 + 346*s. Factor w(n).
-2*(n - 19)*(n - 1)*(n + 1)**2
Determine b, given that 100/3*b + 1250/3 + 2/3*b**2 = 0.
-25
Let k(f) be the third derivative of -f**8/20160 + f**7/2520 - f**6/1080 + 13*f**4/24 - 9*f**2. Let a(m) be the second derivative of k(m). Factor a(z).
-z*(z - 2)*(z - 1)/3
Let k(x) = x**3 + x**2 - 26*x - 53. Let w be k(-4). Factor 0 - 4/5*p - 1/5*p**w + 4/5*p**2.
-p*(p - 2)**2/5
Let d(x) be the first derivative of x**6/2160 - x**5/720 + 2*x**3/3 - 1. Let f(g) be the third derivative of d(g). Solve f(j) = 0 for j.
0, 1
Let o(b) = 14*b - 36. Let j be o(6). Factor -20*s - 19*s - 12*s - 3*s**2 + j*s.
-3*s*(s + 1)
Let o(q) be the third derivative of 1/4*q**3 - 18*q**2 - 1/48*q**4 - 1/720*q**6 + 0 + 0*q - 1/72*q**5. Factor o(k).
-(k - 1)*(k + 3)**2/6
Let d(s) be the third derivative of 0*s - 1/18*s**3 + 0 - 6*s**2 - 1/36*s**4 - 1/180*s**5. Factor d(a).
-(a + 1)**2/3
Let x(t) = 4*t**4 - 10*