 x(k) be the first derivative of 1 + 0*k + 0*k**4 + 0*k**5 + 0*k**2 - 1/1400*k**7 + 0*k**6 - 2/3*k**3. Let i(f) be the third derivative of x(f). Factor i(p).
-3*p**3/5
Let u(h) be the second derivative of h**7/84 + h**6/30 - 3*h**5/40 - h**4/3 - h**3/3 + 10*h + 6. Find n, given that u(n) = 0.
-2, -1, 0, 2
Let o be 1380/9 + 3/(-9). Let q = 313/2 - o. Suppose 1 - q*l**2 + 5/2*l = 0. What is l?
-2/7, 1
Determine q so that -19 + 3/2*q**2 + 113/2*q = 0.
-38, 1/3
Factor -3 + 1/8*g**2 + 5/8*g.
(g - 3)*(g + 8)/8
Let w(c) be the third derivative of -c**6/420 + c**4/84 + 90*c**2 - 1. Factor w(t).
-2*t*(t - 1)*(t + 1)/7
Factor 16*a - 45/8*a**2 - 21/2 + 1/8*a**3.
(a - 42)*(a - 2)*(a - 1)/8
Suppose 18*r - 23*r = 0. Let s(o) be the second derivative of 0 + 1/30*o**4 - 1/100*o**5 - 2*o + r*o**3 + 0*o**2. Find d, given that s(d) = 0.
0, 2
Let j be ((-70)/(-2))/5 - 30/12. Factor 4*z**3 - j - 2*z**2 - 39/4*z.
(z - 2)*(4*z + 3)**2/4
Suppose -81*l + 400 = 19*l. Let w(q) be the second derivative of 2*q**2 + 4*q + 4/3*q**3 + 0 + 1/3*q**l. What is a in w(a) = 0?
-1
Let f(c) be the second derivative of -c**7/840 - c**6/24 - 5*c**5/8 - c**4/4 + 19*c. Let h(i) be the third derivative of f(i). Solve h(w) = 0.
-5
Let u(a) be the first derivative of a**7/420 - a**5/120 + 5*a**2/2 - 1. Let j(b) be the second derivative of u(b). Solve j(i) = 0 for i.
-1, 0, 1
Let d be 68/(-85)*20/(-32). Let u(g) be the first derivative of 5 - 1/8*g**4 + 1/4*g**2 - 1/6*g**3 + d*g. Factor u(i).
-(i - 1)*(i + 1)**2/2
Suppose -4*i = 5*l - 100, 3*i + 4*l - 75 = 2*l. Find j such that 80*j**3 - 20*j**2 - 19*j**5 - 18*j**5 + 2*j**5 - i*j**4 + 0*j**3 = 0.
-2, 0, 2/7, 1
Let s = 127/1176 - -5/294. What is c in -1/8*c**3 + 0 + s*c**4 - 5/8*c**2 - 3/8*c = 0?
-1, 0, 3
Let r(m) be the first derivative of 5*m**6/2 - 204*m**5/5 + 441*m**4/4 - 40*m**3 - 66*m**2 + 341. Let r(x) = 0. What is x?
-2/5, 0, 1, 2, 11
Let n(k) = -k**2 + 608*k - 7735. Let t be n(13). Factor 1/2*s**3 - 1/4*s**2 + t - 1/2*s + 1/4*s**4.
s*(s - 1)*(s + 1)*(s + 2)/4
Let u = 4/23 - 14/345. Let b(l) be the second derivative of -1/3*l**4 + 0 + 0*l**3 + 6*l - 2/5*l**5 - u*l**6 + 0*l**2. Factor b(k).
-4*k**2*(k + 1)**2
Suppose -180*v + 202*v + 18 = 62. Solve 75*m**5 - 2 - 335/4*m**4 - 87/4*m**3 + 3*m + 59/2*m**v = 0.
-2/5, 1/4, 2/3, 1
Let g(y) be the third derivative of y**7/42 + 17*y**6/120 - y**5/5 + 74*y**2. Let g(w) = 0. What is w?
-4, 0, 3/5
Let q(u) be the second derivative of -u**5/60 + 5*u**4/36 - 4*u**3/9 + 2*u**2/3 - 4*u - 7. Find b, given that q(b) = 0.
1, 2
Let y be 20/(-4) + (-4 - -13). Let t(h) be the second derivative of -y*h + 0 + 0*h**2 - 1/21*h**3 - 1/42*h**4. Factor t(j).
-2*j*(j + 1)/7
Let c(u) = 16*u**5 + 14*u**4 + 4*u**3 - 36*u**2 - 31*u. Let v(j) = 3*j**5 + 3*j**4 + j**3 - 7*j**2 - 6*j. Let o(g) = -2*c(g) + 11*v(g). Let o(w) = 0. What is w?
-4, -1, 0, 1
Let f(u) be the third derivative of -u**5/30 + 5*u**4/2 - 29*u**3/3 + 40*u**2 - 5. Determine t, given that f(t) = 0.
1, 29
Let q = 88412 - 9106586/103. Let g = 27118/515 + q. Suppose -1/5*s**4 - 96/5*s**2 + 256/5*s + 16/5*s**3 - g = 0. Calculate s.
4
What is i in -10*i**2 + 33*i**3 - 5*i**2 + 13*i**2 + 15*i + 22*i**2 + 37*i**2 - 9*i**4 = 0?
-1, -1/3, 0, 5
Let j(i) be the second derivative of i**6/6 + i**5 + 5*i**4/3 + 473*i. Factor j(d).
5*d**2*(d + 2)**2
Factor 0 + 2536*d**3 + 4*d**4 + 0 - 8*d**2 - 2532*d**3.
4*d**2*(d - 1)*(d + 2)
Let k(f) be the third derivative of -f**6/200 - f**5/20 - f**4/5 - 2*f**3/5 - 17*f**2. Determine x so that k(x) = 0.
-2, -1
Let t(i) = i**2 + i. Let b(x) = -x**3 + 8*x**2 - 13*x. Let l(j) = -4*b(j) - 12*t(j). Find c such that l(c) = 0.
0, 1, 10
Let l(u) be the second derivative of u**7/126 - 2*u**6/45 + u**5/30 + u**4/9 - u**3/6 - 4*u - 11. Solve l(r) = 0 for r.
-1, 0, 1, 3
Let k(u) be the first derivative of -u**6/10 - 3*u**5/10 + u**3 + 3*u**2/2 + 42*u + 9. Let r(b) be the first derivative of k(b). What is j in r(j) = 0?
-1, 1
Let r(q) be the second derivative of 1/14*q**7 + 0 + 1/10*q**6 - 1/4*q**4 + 0*q**3 + 0*q**2 - 3/20*q**5 + 29*q. Determine v, given that r(v) = 0.
-1, 0, 1
Determine h so that 0 - 1/7*h + 2/7*h**2 - 1/7*h**3 = 0.
0, 1
Let g = -66 - -173. Solve -551 + 7*o**3 + 501 + g*o - 72*o**2 + 88*o = 0 for o.
2/7, 5
Let g = 311 - 932/3. Let u(n) be the second derivative of g*n**3 - 2*n - 7/30*n**4 + 2/5*n**2 + 0. Factor u(x).
-2*(x - 1)*(7*x + 2)/5
Let f(c) be the second derivative of c**6/6 - c**5 - 5*c**4/4 + 15*c**3 - 24*c - 2. Factor f(o).
5*o*(o - 3)**2*(o + 2)
Suppose 0 + 2/17*o**3 + 20/17*o**2 + 0*o = 0. Calculate o.
-10, 0
Solve -2304*z - 3/4*z**3 + 72*z**2 + 24576 = 0 for z.
32
Let b(p) = 27*p + 113. Let u be b(-4). Let f be (128/(-160))/((-3)/u). Solve -1/6*m**4 + 11/6*m**3 - 1/2*m**2 + 2/3 - f*m - 1/2*m**5 = 0.
-2, -1, 2/3, 1
Suppose -2*n = -5*h + 7, n - 10 - 3 = -3*h. Let f(y) be the first derivative of 0*y - 3/5*y**5 - 48*y**h + 5 - 96*y**2 - 9*y**4. Factor f(j).
-3*j*(j + 4)**3
Suppose 56*x + 6 = 59*x. Let v be -4*3/(-30) - 7/(-20). Factor -v*h**x + 3/2*h + 0.
-3*h*(h - 2)/4
Let m = -6/35 - -71/210. Let s be ((-12)/(2160/(-70)))/(70/30). What is t in s*t - 1/6*t**2 + 1/6*t**4 + 0 - m*t**3 = 0?
-1, 0, 1
Factor -165/4*r**2 - 1/2 - 325/4*r**3 - 31/4*r - 125/4*r**4.
-(r + 2)*(5*r + 1)**3/4
Let h = -2232 + 2245. Let w(c) be the second derivative of -h*c + 1/27*c**3 + 0 + 0*c**2 - 2/27*c**4. Factor w(g).
-2*g*(4*g - 1)/9
Factor -471934*j + 502*j**3 - 678050*j - 52272*j**2 - 1294*j**3 + 0*j**4 - 4*j**4.
-4*j*(j + 66)**3
Let l(w) be the first derivative of 43 + 9/8*w**2 - 3/16*w**4 + 0*w**3 - 3/2*w. Factor l(m).
-3*(m - 1)**2*(m + 2)/4
Suppose 782 - 312 = 47*f. Let 25/2*l**2 + f*l + 2 = 0. What is l?
-2/5
Solve 0 - 1/5*t**2 + 2/5*t = 0.
0, 2
Let k(t) be the third derivative of -t**7/756 - t**6/810 - 7*t**3/3 + 16*t**2. Let a(q) be the first derivative of k(q). Factor a(i).
-2*i**2*(5*i + 2)/9
Let w(x) be the second derivative of -x**7/21 + 2*x**6/15 + 3*x**5/5 - 4*x**4/3 - 5*x**3/3 + 6*x**2 + 29*x. Suppose w(s) = 0. Calculate s.
-2, -1, 1, 3
Suppose -3*u - 15 = -8*u. Suppose j = -2*n + 7, 0 = -2*n - u*j - 2*j + 11. Find i, given that 1/2 - i**n - 1/2*i**5 + i**2 - 3/2*i**4 + 3/2*i = 0.
-1, 1
Let b(p) = -2 + 8*p - 4 + 2 + 11*p**2. Let x(t) = -21*t**2 - 16*t + 8. Let n(i) = -11*b(i) - 6*x(i). Find o, given that n(o) = 0.
-2, 2/5
Let p be 1/(-3) - (4/(-12) + 2). Let i be ((-7)/(-10) - (1 - 0))*p. Factor -3/5*h**3 + 0 + i*h**4 + 3/5*h - 3/5*h**2.
3*h*(h - 1)**2*(h + 1)/5
Let n(q) be the first derivative of q**4/126 + 2*q**3/63 - q**2/7 + 25*q - 35. Let a(v) be the first derivative of n(v). Let a(b) = 0. What is b?
-3, 1
Let w(j) = j**2 + j - 2. Let n(h) = h**3 + 11*h**2 + 11*h + 12. Let a be n(-10). Let d be w(a). Factor s**3 + 2*s**2 + 3*s - 2*s**2 + 2*s - d*s**2 - 2.
(s - 2)*(s - 1)**2
Let p = 1561 + -879. Let o = p + -2029/3. Determine s so that 4/3 - 77/3*s**4 + 32/3*s + o*s**3 + 73/3*s**2 - 49/3*s**5 = 0.
-1, -2/7, 1
Let x = 5414 - 27069/5. Factor 0 - x*l**2 - 4/5*l.
-l*(l + 4)/5
Let i = 13 + -10. Suppose q = 2*z - 6*z + 15, 2*q = 3*z - i. Factor 2*o - 5*o**4 - o**2 - z*o + o**3 + 6*o**4.
o*(o - 1)*(o + 1)**2
Let m(i) = 3*i**2 + 52 - 3*i**2 - 30*i + i**2 + 7. Let r be m(28). Solve 0 - 2/11*h**5 + 0*h + 2/11*h**r + 0*h**2 + 0*h**4 = 0 for h.
-1, 0, 1
Suppose 5*w**3 + 1683*w + 35*w**2 - 1628*w + 21 + 4 = 0. Calculate w.
-5, -1
Let m(v) be the first derivative of -1/20*v**5 - 1/4*v**2 - 19 + 1/8*v**4 + 0*v**3 + 1/4*v. Factor m(s).
-(s - 1)**3*(s + 1)/4
Let f(k) be the first derivative of -12/7*k - 2 + 1/7*k**2 + 2/21*k**3. Determine z, given that f(z) = 0.
-3, 2
Let y(t) be the first derivative of 5*t**3/6 - 35*t**2/4 - 296. Find o, given that y(o) = 0.
0, 7
Let h = 18003 + -18000. Determine d so that 9/2*d**4 + 0 - 15*d**h - 3*d + 27/2*d**2 = 0.
0, 1/3, 1, 2
Let k(r) be the second derivative of 5*r**10/2016 - 29*r**8/2240 + r**6/60 + r**4/4 - 18*r. Let v(o) be the third derivative of k(o). Find a such that v(a) = 0.
-1, -2/5, 0, 2/5, 1
Let n(q) be the first derivative of 6*q**2 + 27 + q**4 - 16/3*q**3 + 0*q. Factor n(u).
4*u*(u - 3)*(u - 1)
Let j be (-31 + 36)*(-2)/(-5). Find g, given that 22*g**j + 34*g**2 + 18*g**2 - 75*g**3 + 27*g - 42 + 9*g**4 + 7*g**2 = 0.
-2/3, 1, 7
Let q(d) be the first derivative of -d**6/90 - d**5