ve of -r**6/36 + 7*r**5/120 - r**4/24 + 20*r**3/3 - 26. Let x(j) be the third derivative of f(j). Determine a so that x(a) = 0.
1/5, 1/2
Suppose -1/7*j**4 - 624/7*j**2 + 0 + 676/7*j - 51/7*j**3 = 0. What is j?
-26, 0, 1
Let i(a) be the third derivative of -a**6/360 + 11*a**5/180 - 19*a**4/72 + a**3/2 - a**2 + 71. Factor i(u).
-(u - 9)*(u - 1)**2/3
Let v(w) be the third derivative of 0 - 1/40*w**6 + 2/35*w**7 + w**3 - 3/5*w**5 + 0*w - 5/8*w**4 + w**2. Solve v(y) = 0.
-1, 1/4, 2
Let a(z) be the first derivative of -z**3/2 + 9*z**2 - 105*z/2 + 52. Suppose a(b) = 0. Calculate b.
5, 7
Let h(f) = 57*f**2 + 162*f + 63. Let c(y) = 34*y - 12*y + y + 9 + y**2 + 7*y**2. Let n(x) = 15*c(x) - 2*h(x). Factor n(b).
3*(b + 3)*(2*b + 1)
Let -3/2*j**4 + 0 + 87/2*j**3 - 87/2*j + 3/2*j**2 = 0. Calculate j.
-1, 0, 1, 29
Let k(o) = 14*o**2 + 1998*o - 824. Let z(p) = -43*p**2 - 5993*p + 2468. Let u(h) = -17*k(h) - 6*z(h). Factor u(v).
4*(v + 100)*(5*v - 2)
Suppose s + 15 = -2*s, 3*v + 21 = -3*s. Let j be 3 + -4 + v + 3. Let j + 4/7*x - 2/7*x**2 - 2/7*x**3 = 0. Calculate x.
-2, 0, 1
Let b(i) be the second derivative of 0*i**2 - 4/3*i**4 + 3/10*i**5 - 15*i - i**3 + 0. Find r, given that b(r) = 0.
-1/3, 0, 3
Let l be ((-1368)/1026)/((-8)/(1 + 1)). Find o such that 1/3*o - 1/3*o**3 + l - 1/3*o**2 = 0.
-1, 1
Let f(n) be the first derivative of 0*n + 2/21*n**3 - 3 + 1/7*n**2. Factor f(a).
2*a*(a + 1)/7
Let z(f) be the first derivative of -f**4/2 + 14*f**3 - 144*f**2 + 640*f - 20. Solve z(t) = 0 for t.
5, 8
Let y(b) be the second derivative of -b**5/60 + b**4/12 - b**3/9 + 47*b. Factor y(i).
-i*(i - 2)*(i - 1)/3
Let p(m) be the first derivative of m**3/5 + 33*m**2/2 - 190. Factor p(u).
3*u*(u + 55)/5
Let k be 4/(-168)*21*(-112)/5. Solve 8/5 + 98/5*h**2 + k*h = 0 for h.
-2/7
Let y(j) = j**3 + 4*j**2 - 3*j - 8. Let q be y(-2). What is x in -q*x**3 + 1 + 6*x + 2 - 10*x**4 - 6 + 13*x**4 = 0?
-1, 1
Let u(j) be the first derivative of -j**5/110 - 7*j**4/66 - 2*j**3/11 + 25*j - 16. Let g(o) be the first derivative of u(o). Factor g(w).
-2*w*(w + 1)*(w + 6)/11
Let i = 223 + -230. Let q be 3/(-2) - i/2. Factor -2/3*w**q - 8/3 - 8/3*w.
-2*(w + 2)**2/3
Let v be (-119)/1365 - (-3)/(-18)*-2. Let l = v - 6/65. Factor 12/13*t**3 - l*t**4 - 6/13 - 24/13*t**2 + 20/13*t.
-2*(t - 3)*(t - 1)**3/13
Let h be (54/63)/(7/(-308)*-11). Factor -32/7*p - h - 2/7*p**3 - 2*p**2.
-2*(p + 2)**2*(p + 3)/7
Let d(y) = 4*y**3 - 25*y + 9. Let g(l) = -l**3 + 6*l - 2. Suppose 4*k + 31 = 5*b, 0 = -k - 5*b + 4 - 18. Let c(s) = k*g(s) - 2*d(s). Let c(f) = 0. Calculate f.
-2, 0, 2
Let d = 55 + -50. Find f such that 6*f + 6*f - 2*f**3 + 3*f**2 + d - 17 - f**3 = 0.
-2, 1, 2
Let d(t) = -t**3 + 7*t**2 + 5*t + 27. Let b be d(8). Solve 3*q + 4 - 4 + b*q**5 + 0 - 6*q**3 = 0 for q.
-1, 0, 1
Let j(w) = 2*w + 22. Let i be j(-7). Factor -12*d - 8 + 5*d - 2 - 5*d**2 - i*d.
-5*(d + 1)*(d + 2)
Let m = -40 - -42. Factor -3*j + 15*j**m - 15 + 8*j**2 - 8*j**2 + 5*j**3 - 2*j**3.
3*(j - 1)*(j + 1)*(j + 5)
Let q(f) be the third derivative of -f**5/150 - 7*f**4/20 + 22*f**3/15 - 4*f**2 - 48*f. Find o such that q(o) = 0.
-22, 1
Suppose 9 = s - a, 0 = 3*s + 2*s + 4*a. Factor 0*f - s - 2*f**2 - 2*f - 4*f.
-2*(f + 1)*(f + 2)
Factor -6*q**2 + 2*q**2 - 417 - 607 - 112*q - 16*q.
-4*(q + 16)**2
Factor -417*m**3 + 835*m**3 - 9*m**2 - 417*m**3.
m**2*(m - 9)
Let j be ((-17)/((-17)/27))/((-6)/4). Let v be j/(-52) - (-5)/(585/18). Factor -1/2 + 0*c + v*c**2.
(c - 1)*(c + 1)/2
Let y = -98 + 98. Let k(c) be the first derivative of y*c + c**2 + 4 - 2/3*c**3. Let k(t) = 0. Calculate t.
0, 1
Let z be (-14913)/(-420) + 24/40. Let c = 145/4 - z. Factor c*k**2 + 1/7*k**3 + 0 + 0*k.
k**2*(k + 1)/7
Let i(q) be the second derivative of -1/54*q**4 + 0 + 19*q - 1/9*q**3 - 2/9*q**2. Let i(k) = 0. What is k?
-2, -1
Let q = 21863/5828 + -2/1457. Find y, given that -q*y - 3/4*y**2 + 0 = 0.
-5, 0
Let v(t) = -t**3 + 6*t**2 - 7*t + 2. Let i be v(3). Suppose -i + 0 = -4*n. Factor -18/7*r + 4/7 + n*r**2.
2*(r - 1)*(7*r - 2)/7
Let n(p) be the second derivative of p**8/6720 + p**7/1512 + p**6/1080 + p**4/4 + 7*p. Let h(k) be the third derivative of n(k). Factor h(g).
g*(g + 1)*(3*g + 2)/3
Suppose 2*k - 12 = -18*l + 14*l, -2*k = -4*l - 4. Let r be 247/(-91) + (l - -1*2). Factor -10/7*v**3 + 0 - 6/7*v**2 + 18/7*v - r*v**4.
-2*v*(v - 1)*(v + 3)**2/7
Let v(a) be the third derivative of -a**5/30 - 5*a**4/24 - 43*a**2. Suppose v(x) = 0. Calculate x.
-5/2, 0
Let c(s) be the first derivative of -5*s**3/3 + 20*s**2 - 35*s + 15. Find n such that c(n) = 0.
1, 7
Determine t, given that -4/3 - 32*t**4 + 292/3*t**3 - 100*t**2 + 36*t = 0.
1/24, 1
Let v(d) = -d**3 + d**2 - d - 1. Suppose 28*h + 40 = 23*h. Let g(x) = -12*x**3 + 4*x**2 - 8. Let i(s) = h*v(s) + g(s). Determine j, given that i(j) = 0.
-2, 0, 1
Let v = -12 - 8. Let g be (2/(-3))/(v/15). Suppose 0 + u + 0*u**3 - 3/2*u**2 + g*u**4 = 0. What is u?
-2, 0, 1
Let r(h) be the first derivative of h**5/20 - 7*h**4/16 - 17*h**3/12 - 9*h**2/8 + 362. What is u in r(u) = 0?
-1, 0, 9
Find a such that -3/4 - 3/8*a**3 + 9/8*a + 0*a**2 = 0.
-2, 1
Let l(g) = -g**3 + 16*g**2 + 16*g + 19. Suppose 2*b - 85 = -3*b. Let f be l(b). Factor -2 + 2*a + 0*a**f + 0*a**4 - 4*a**3 + 4*a**2 + 2*a**5 - a**4 - a**4.
2*(a - 1)**3*(a + 1)**2
Let n(t) be the first derivative of t**7/4200 - t**6/450 - t**5/600 + t**4/30 - 26*t**3/3 + 13. Let a(y) be the third derivative of n(y). Factor a(r).
(r - 4)*(r - 1)*(r + 1)/5
Let o be 9/6*(-4)/(-3). Suppose 3*u + 27 = 6*c, -14*u = -4*c - 10*u + 24. Factor -x**c + 1/4*x**4 - 1/2*x + 0 + 5/4*x**o.
x*(x - 2)*(x - 1)**2/4
Let q(i) be the second derivative of i**5/100 + i**4/4 + 9*i**3/10 + 13*i**2/10 + i + 2. Suppose q(a) = 0. What is a?
-13, -1
Find v such that 47/8*v**3 + v + 9/8*v**4 + 0 + 23/4*v**2 = 0.
-4, -1, -2/9, 0
Let f be ((-10)/(-8))/(9/36). Suppose m + 2 = f. Factor 1 + 0*i**2 - 3/2*i + 1/2*i**m.
(i - 1)**2*(i + 2)/2
Factor -1/5*d**4 - 19/5*d**3 + 576/5*d - 6*d**2 - 864/5.
-(d - 3)*(d - 2)*(d + 12)**2/5
Let k(w) be the second derivative of w**4/12 + 8*w**3/3 - 57*w**2/2 + 52*w + 1. Factor k(z).
(z - 3)*(z + 19)
Let f(r) be the second derivative of r**6/10 + 33*r**5/20 + 9*r**4/4 - 11*r**3/2 - 15*r**2 - 13*r - 4. Suppose f(i) = 0. What is i?
-10, -1, 1
Let p = -382 - -382. Let b(r) be the third derivative of 0*r**3 + 0*r + 0 - 1/150*r**5 + 2*r**2 + 1/600*r**6 + p*r**4. Determine a, given that b(a) = 0.
0, 2
Let y = 5/22 + -2/33. Let f = -30448 + 30450. Determine i, given that -y*i**f - 1/2*i + 0 = 0.
-3, 0
Let g = 80 + -35. Let w(c) = 110*c**3 + 45*c**2 - 725*c - 615. Let z(n) = 5*n**3 + 2*n**2 - 33*n - 28. Let i(h) = g*z(h) - 2*w(h). Factor i(y).
5*(y - 3)*(y + 1)*(y + 2)
Let r(g) be the third derivative of 0 + 1/80*g**5 - 1/6*g**3 - 19*g**2 - 1/24*g**4 - 1/840*g**7 + 1/240*g**6 + 0*g. Find m, given that r(m) = 0.
-1, 2
Suppose 0 = -d + 2*f + 8, f + 10 = 4*d + 4*f. What is b in 16 - 30 + 14 - 2*b**5 + 2*b**d = 0?
0, 1
Let w(l) be the first derivative of -l**4 - 4*l**3 + 20*l**2 + 83. Factor w(k).
-4*k*(k - 2)*(k + 5)
Suppose -2*z - 4*k - 12 = -0*k, 3*k = -z - 9. Let d be z/((-1)/((-4)/(-4))). Let -9*j + 5*j - j**2 + d*j - 4 = 0. What is j?
-2
Solve -1/2*u**3 + 2*u**2 + 3 + 11/2*u = 0.
-1, 6
Let y be 460/(-1610) + 60/14. Factor -1/2 + 3*v - y*v**2.
-(2*v - 1)*(4*v - 1)/2
Let x(b) = -5*b - 8. Let p be x(-7). Let u(w) = 3*w**2 + 19*w + 8. Let o be u(-6). Suppose 9*t**3 - 1 - 30*t**o - 2 + p*t - 1 - 2 = 0. What is t?
1/3, 1, 2
Let v(d) be the second derivative of -1/3*d**4 - 11*d + 0 - 4/3*d**3 - 2*d**2. Let v(u) = 0. What is u?
-1
Suppose 55*i = 56*i + 2, 4*h + 2*i = -4. Let o(g) be the third derivative of h - 7/30*g**5 + 0*g**3 + 0*g + 10*g**2 - 1/15*g**6 + 1/6*g**4. Solve o(w) = 0.
-2, 0, 1/4
Let g(t) be the third derivative of t**6/180 - t**5/30 - 2*t**4/3 - 7*t**3/6 + 36*t**2. Let k(x) be the first derivative of g(x). Factor k(f).
2*(f - 4)*(f + 2)
Let n(r) be the first derivative of -1/9*r**4 + 3 - 14/9*r**2 + 4/3*r + 20/27*r**3. Find c, given that n(c) = 0.
1, 3
Let u(q) be the first derivative of q**6/240 - q**5/60 + q**4/48 - 39*q**2/2 + 9. Let s(a) be the second derivative of u(a). Factor s(z).
z*(z - 1)**2/2
Let c(u) = -u**4 + 10*u**3 - 11*u**2 - 16*u. Let f(w) = 65*w**2 + 5*w**4 - 19*w**3 - 41*w**3 + 