*j**2 - 68/3*j**3 - 58/3*j - 2/3*j**5 + 14/3 + 22/3*j**4 = 0.
1, 7
Let p(b) be the third derivative of b**9/18144 - b**8/7560 - b**7/7560 + 7*b**5/15 + 27*b**2. Let m(s) be the third derivative of p(s). Solve m(r) = 0.
-1/5, 0, 1
Let g(l) be the first derivative of -9*l**2/2 - 34*l + 24. Let o be g(-4). Solve 2/5 - 2/5*a - 2/5*a**o + 2/5*a**3 = 0.
-1, 1
Let v(m) = -4*m**4 + 6*m**3 - 54*m**2 - 29*m + 101. Let g(z) = z**4 - 2*z**3 + 17*z**2 + 10*z - 34. Let x(b) = 21*g(b) + 6*v(b). Let x(s) = 0. Calculate s.
-3, 2
Let k(m) = -m - 23. Suppose -57 + 11 = 2*d. Let l be k(d). Let 4/7*a - 10/7*a**2 + l - 2*a**3 = 0. What is a?
-1, 0, 2/7
Factor 2*j**2 - 32/3 - 26/3*j.
2*(j + 1)*(3*j - 16)/3
Find z such that 9978 + 4*z**2 + 24*z - 9978 = 0.
-6, 0
What is m in 3*m + 1/8*m**3 - 11/8*m**2 + 9/2 = 0?
-1, 6
Let u = -13/85 - -647/340. Solve -1/4*f**3 + u*f**2 + 1/4*f**5 + 0*f - 3/4*f**4 - 1 = 0.
-1, 1, 2
Let i(d) be the third derivative of 0*d**3 - 2*d**2 + 0 + 1/140*d**5 - 24*d + 1/56*d**4. Solve i(n) = 0 for n.
-1, 0
Let o(x) = -28*x**2 - 71*x - 30. Let r(g) = -13*g**2 - 34*g - 16. Let s(c) = 6*o(c) - 13*r(c). Suppose s(l) = 0. Calculate l.
-14, -2
Suppose 0 = 2*h - 10*h + 104. Factor 2*r**3 + 8*r - 12*r**2 - h + 2*r**3 + 13.
4*r*(r - 2)*(r - 1)
Let g(w) = -3*w + 12. Let l be g(5). Let b = l - -3. Factor -7*n + 2*n + b*n**2 + n**2 + 9*n + 4.
(n + 2)**2
Let f(m) = -22*m**3 - 142*m**2 - 1020*m - 891. Let k(z) = 10*z**3 + 70*z**2 + 510*z + 446. Let r(a) = -4*f(a) - 9*k(a). Suppose r(x) = 0. What is x?
-15, -1
Let a(j) = -j**3 + 3*j**2 - 15*j + 200. Let z be a(6). Find h, given that 0*h + 2/15*h**5 - 2/15*h**3 + 0 + 0*h**z + 0*h**4 = 0.
-1, 0, 1
Suppose 0*d - 4/3*d**4 - 14/3*d**3 - 2*d**2 + 0 = 0. What is d?
-3, -1/2, 0
Let x(k) = 10*k**4 + 5*k**3 - 70*k**2 + 65*k - 5. Let q(b) = 5*b**4 + 2*b**3 - 35*b**2 + 32*b - 2. Let w(m) = 5*q(m) - 2*x(m). Solve w(t) = 0.
-3, 0, 1, 2
Let n be (-45)/(-108)*(-24)/(-6). Let 20/3*f**4 + 17/3*f**3 + 0 - n*f**2 - 2/3*f = 0. What is f?
-1, -1/4, 0, 2/5
Let c be 1 + -2 + (3 - (-9 - -6)). Let d(w) be the second derivative of -3*w + 0 + 0*w**3 + 1/60*w**6 + 0*w**c - 1/24*w**4 + 0*w**2. Solve d(j) = 0 for j.
-1, 0, 1
Let h(a) be the third derivative of a**6/180 - 11*a**5/90 + 5*a**4/18 - a**2 + 19. Factor h(y).
2*y*(y - 10)*(y - 1)/3
Let t(y) = y**3 + 4*y**2 + 2*y. Let v be t(-3). Factor 24*a**3 + 8 - 40*a**4 - 32*a**v + 20*a - 12*a**5 - 32*a**3.
-4*(a + 1)**4*(3*a - 2)
Factor -467*f + 292 + 453*f - 308 + 2*f**2.
2*(f - 8)*(f + 1)
Let j(u) be the first derivative of 2/33*u**3 - 19 + 32/11*u - 8/11*u**2. What is k in j(k) = 0?
4
Let n be ((-6)/4)/((-2)/4). Let q = -60 - -426. Factor -q + 3*a**3 + 366 - n*a.
3*a*(a - 1)*(a + 1)
Let j(a) be the third derivative of -a**3 + 0 + 0*a - 14*a**2 - 1/560*a**7 - 1/40*a**6 + 1/896*a**8 + 1/20*a**5 + 1/4*a**4. What is t in j(t) = 0?
-2, 1, 2
Suppose 3/4*d - 3/2*d**4 - 3/4*d**5 + 3/2*d**2 + 0 + 0*d**3 = 0. Calculate d.
-1, 0, 1
Let b be (-1)/(-40) + (201/(-24) - -8)*-1. Solve 2/5*s**2 + 0 + 0*s - 4/5*s**3 + b*s**4 = 0 for s.
0, 1
Let g(q) be the third derivative of 0*q + 8/51*q**3 + 0 - 3*q**2 - 1/51*q**4 - 1/51*q**5 - 1/340*q**6. Factor g(t).
-2*(t + 2)**2*(3*t - 2)/17
Let d(b) = -2*b**2 - b + 2. Let p(c) = 8*c**2 + 559*c + 38636. Let t(v) = 6*d(v) + 2*p(v). Factor t(x).
4*(x + 139)**2
Let h(b) be the second derivative of b**4/48 - 17*b**3/8 - 13*b**2/2 - 2*b - 243. Factor h(c).
(c - 52)*(c + 1)/4
Suppose -16*m = -15*m - 3. Factor -5*s**3 - 25*s**2 + 49*s - 85*s + s**m + s**2.
-4*s*(s + 3)**2
Suppose 3*z = 2 + 1. Let f = z - -2. Find v such that -v + 3*v**4 - 8*v**3 + 2*v - f*v + 7*v**2 = 0.
0, 2/3, 1
Let d be 18/(-4)*(-700)/2625*(-5)/(-8). Determine s, given that -15/4*s**2 + 21/4*s + d*s**3 - 9/4 = 0.
1, 3
Let s(j) be the first derivative of 57/20*j**4 + 24/5*j**2 + 12/5*j + 1/10*j**6 - 6 + 21/25*j**5 + 5*j**3. Factor s(v).
3*(v + 1)**3*(v + 2)**2/5
Suppose 3934*b - 3949*b = -30. Factor -2/15*w**b - 4/15*w - 2/15.
-2*(w + 1)**2/15
Let g(x) be the first derivative of x**4/4 + 2*x**3/3 - 13*x**2/2 - 17*x + 6. Let q be g(-4). Determine m so that -1/6*m + 1/3*m**2 - 1/6*m**q + 0 = 0.
0, 1
Let p(s) be the second derivative of s**4/12 - s**3/2 - 9*s**2 + 4*s - 13. Factor p(z).
(z - 6)*(z + 3)
Let k be (-4)/(4 + (-27)/6). Solve -8*f**3 - 3*f**3 - 13*f**3 + 4*f**3 + 28*f**2 - k*f = 0.
0, 2/5, 1
Let h = 523 + -1043/2. Factor 0*b - b**2 + 5/2*b**4 + 0 + h*b**3.
b**2*(b + 1)*(5*b - 2)/2
Let m be (0 - 0)*(-12)/48. Suppose 3*y + 12*l = 8*l - 14, m = 4*y + l - 3. Solve 2/5 + 0*d - 2/5*d**y = 0.
-1, 1
Suppose 5*s + 1 = 3*n - 31, 5*n + 5*s = 0. Factor -12*x**n + 177 - 177 + 3*x**5 + 9*x**3.
3*x**3*(x - 3)*(x - 1)
Factor 3/7*w**4 - 15/7*w - 27/7*w**2 + 0 - 9/7*w**3.
3*w*(w - 5)*(w + 1)**2/7
Let a = 1257/2 - 611. Let q = a - 17. Factor -q*u + 0 - 1/2*u**5 + 0*u**2 + 0*u**4 + u**3.
-u*(u - 1)**2*(u + 1)**2/2
Let c = 51 + -46. Solve -1688*y - 15*y**3 + 1688*y + c*y**2 = 0 for y.
0, 1/3
Suppose i - 2*x - 20 = 0, -4*i = i + x - 122. Let w be (i/(-20))/(-6) - (-3)/(-15). Suppose 2/13*l**2 + w + 2/13*l = 0. What is l?
-1, 0
Let g(z) be the second derivative of -2*z**6/15 - 6*z**5/5 - 5*z**4/3 + 8*z**3 + 28*z - 5. Solve g(j) = 0 for j.
-4, -3, 0, 1
Let s(z) be the first derivative of 2*z**5/105 - 7*z**4/6 + 190*z**3/63 - 47*z**2/21 + 173. Determine k, given that s(k) = 0.
0, 1, 47
Let g(m) = 2*m**2 - m. Let i be g(-1). Suppose -u + 49 = 6*u. What is h in 10*h**i - 3*h**2 + 2*h**3 + 4*h**5 + 12*h**4 + u*h**2 = 0?
-1, 0
Let z(v) be the second derivative of -v**6/20 - 3*v**5/20 + 3*v**4/8 + v**3 - 3*v**2 + 63*v. Solve z(q) = 0.
-2, 1
Let n(o) be the second derivative of 2*o**5/75 - 47*o**4/18 - 299*o**3/45 - 4*o**2 + o - 8. What is t in n(t) = 0?
-1, -1/4, 60
Suppose -12*h + f = -7*h - 8, 8 = h + 3*f. Factor -8*j - 123*j**4 + 1 + 6*j**2 + 122*j**4 + h.
-(j - 1)**3*(j + 3)
Suppose -3*g + 12 = h, -6*h + 2*h - 8 = -2*g. Factor 0*q - 8*q**g + 11/2*q**3 - q**2 + 0 + 7/2*q**5.
q**2*(q - 1)**2*(7*q - 2)/2
Let f(p) be the second derivative of 2/63*p**7 - 16*p + 0*p**2 + 0 + 0*p**3 - 2/45*p**6 + 0*p**5 + 0*p**4. Suppose f(i) = 0. What is i?
0, 1
Let o = 4016 - 36136/9. Factor o - 2/9*v**2 - 2/3*v.
-2*(v - 1)*(v + 4)/9
Let x(m) = -m**3 + 16*m**2 + 20*m + 3. Let u(b) = -b**3 + 8*b**2 + 10*b + 1. Let c(q) = -10*u(q) + 6*x(q). Suppose c(f) = 0. What is f?
-2, -1
Find m, given that 67*m**2 + 1 - 10*m + 11 - 65*m**2 + 0 = 0.
2, 3
Let y be 2*(-7)/140 - 3/(-15). Solve -1/10*h**2 + 1/10 - 1/10*h**3 + y*h = 0 for h.
-1, 1
Factor 864*p**2 + 3*p**3 + 1492992 + 30312*p + p**3 + 24382*p + 9194*p - 1680*p.
4*(p + 72)**3
Let x(c) = -8*c**2 + 1557*c + 585. Let d be x(195). Factor 4/9*y**5 - 4/9*y**3 + 0*y**4 + d + 0*y + 0*y**2.
4*y**3*(y - 1)*(y + 1)/9
Let q(i) be the first derivative of i**4/12 - 19*i**3/3 + 28*i**2/3 - 13. Factor q(x).
x*(x - 56)*(x - 1)/3
Let r(j) be the second derivative of -14*j + 1/70*j**5 + 1/42*j**3 + 0*j**2 + 0 - 1/98*j**7 - 2/105*j**6 + 1/21*j**4. Determine s so that r(s) = 0.
-1, -1/3, 0, 1
Let i = 221 + -217. Let w be 16/(-6) - -3 - (-10)/6. Solve -1/4*t - 1/2 - 3/4*t**5 + t**3 + 3/2*t**w - t**i = 0.
-1, 2/3, 1
Suppose -10*b + 8*b = -8. Find v such that b + 15*v**2 - 4*v**3 - v**3 - 4 - 10*v = 0.
0, 1, 2
Suppose -42 = -2*a + 152. Let h = 13 + -11. Find w such that 4 + a*w - 89*w + h*w**2 + 2 = 0.
-3, -1
Let d = 1659/2 - 14927/18. Find v such that d*v**2 + 0*v + 0 = 0.
0
Let v(d) be the third derivative of d**5/150 + 5*d**4/12 - 26*d**3/15 - 718*d**2. Let v(f) = 0. What is f?
-26, 1
Find k such that 12/5*k**2 - 2/5*k**5 - 14/5*k**3 + 16/5*k - 12/5*k**4 + 0 = 0.
-4, -2, -1, 0, 1
Let h(i) be the first derivative of -2*i**5/45 + 5*i**4/9 + 16*i**3/9 + 164. Factor h(v).
-2*v**2*(v - 12)*(v + 2)/9
Let o(z) be the second derivative of -z**5/20 - 23*z**4/12 - 10*z**3 - 63*z + 1. Factor o(x).
-x*(x + 3)*(x + 20)
Let p(f) be the third derivative of f**5/15 - 88*f**4/3 + 15488*f**3/3 - 2*f**2 - 153. Factor p(u).
4*(u - 88)**2
Factor -60*c**3 + 108*c - 4*c**5 - 31*c**2 - 41*c**2 + 0*c**5 - 36*c**4 - 44*c**3 + 108.
-4*(c - 1)*(c + 1)*(c + 3)**3
Let t(z) be the third derivative of -z**5/20 - 37*z**4/2 + 149*z**3/2 + 3*z**2 + 30*z. Solve t(b) = 0.
-149, 1
Let t be (-2 - (91/(-21) - -2))*6. Factor -3/4*b**3 + 3/4 - 9/4*b + 9/4*