 - 21/5*q**5 - 56*q - 5*q**4. Suppose c(u) = 0. What is u?
-1/2, 2/7
Let x(n) be the third derivative of -4/21*n**3 + 1/70*n**5 - 9*n**2 + 0*n**4 + 0*n + 1/420*n**6 + 0. Suppose x(u) = 0. Calculate u.
-2, 1
Let v(l) be the first derivative of -85 - 10/11*l**2 + 0*l - 6/11*l**3 + 1/22*l**4. Suppose v(g) = 0. Calculate g.
-1, 0, 10
Let j = 13 + -16. Let u be j + (-45)/(-5) + -4. What is s in -2*s + 4 - 13*s**2 - 7*s**2 + 18*s**u = 0?
-2, 1
Let y = 3450/89 - 13355/356. Solve -60*x**2 + 0 - y*x**4 + 45*x + 65/4*x**3 = 0.
0, 1, 6
Let t(k) be the first derivative of 7*k**6/27 - 374*k**5/45 + 183*k**4/2 - 342*k**3 - 162*k**2 + 1150. Find n, given that t(n) = 0.
-2/7, 0, 9
Suppose 16*z - 58 = 70. Suppose 16*t**3 + 221*t**2 - 4*t**5 - 115*t**2 - z*t**4 - 74*t**2 = 0. Calculate t.
-2, 0, 2
Let w(v) = 2*v**4 - 924*v**3 - 1968*v**2 - 988*v. Let s(y) = 2*y**4 - 933*y**3 - 1967*y**2 - 987*y. Let x(j) = -6*s(j) + 5*w(j). Solve x(i) = 0.
-1, 0, 491
Let p = -7935/4 - -1985. Let d(j) be the first derivative of -p*j**2 + 15 - 1/12*j**3 - 25/4*j. Let d(g) = 0. Calculate g.
-5
Let w(a) be the third derivative of -a**6/780 + 11*a**5/78 - 23*a**4/12 + 245*a**3/39 + a**2 - 848. Factor w(k).
-2*(k - 49)*(k - 5)*(k - 1)/13
Suppose 0 = -3*m + 12, 0 = -0*l + 3*l - 2*m - 19. Let p be l*(-6)/((-18)/7). Suppose 2*q + q + 17*q**2 + 5*q - p*q**2 = 0. What is q?
0, 2
Suppose 2*i - 14 = -5*b, 0 = -b - 5*i + 9*i - 6. Let t be (b/(-3))/((40/8)/(-15)). Factor 4/5*p - 2/5 - 2/5*p**t.
-2*(p - 1)**2/5
Let o(y) be the first derivative of 27/2*y**4 + 52*y**3 - 81/10*y**5 + 24*y - 27/8*y**6 - 128 + 54*y**2. Let o(g) = 0. What is g?
-2, -2/3, 2
Let z = 66637/266612 - -4/66653. Let -792*v**2 + 35937/4 + 49/2*v**3 - z*v**4 + 16335/2*v = 0. Calculate v.
-1, 33
Factor 101/4*x - 78 + 1/4*x**2.
(x - 3)*(x + 104)/4
Let u(y) = y**3 + y**2 - y + 2. Let s be -2 - (-1)/((-3)/(-6)). Let x be u(s). Suppose 20*a**2 - 68*a**3 + 96*a**3 + x*a - 2*a - 8*a = 0. What is a?
-1, 0, 2/7
Factor -189/2*d**3 + 0 + 2*d - 20*d**2.
-d*(7*d + 2)*(27*d - 2)/2
Let x be 16/(-10)*(-445)/356. Let m(t) be the second derivative of 9*t + 1/20*t**5 - 7/12*t**4 + 0 + 5/2*t**3 - 9/2*t**x. Factor m(p).
(p - 3)**2*(p - 1)
Let p(b) = b**3 + 21*b**2 - 13*b - 97. Let n be p(-18). Let c = -1109 + n. Find r such that 8/3*r**2 - 14/3*r**3 + 0*r + c = 0.
0, 4/7
Let l(t) be the second derivative of -t**4/15 + 332*t**3/3 - 68890*t**2 - 388*t. What is k in l(k) = 0?
415
Let s = 9970 - 229088/23. Let n = s + -643/69. Factor 1/3*r**2 + 5/6*r - 1/6*r**5 + n - 2/3*r**4 - 2/3*r**3.
-(r - 1)*(r + 1)**3*(r + 2)/6
Let b(y) be the first derivative of 5*y**6/6 + 23*y**5 + 375*y**4/2 + 500*y**3/3 - 2500*y**2 + 2819. Solve b(j) = 0.
-10, -5, 0, 2
Let o(d) be the third derivative of -d**6/180 + 22*d**5/45 + d**4/36 - 44*d**3/9 - 442*d**2. Factor o(w).
-2*(w - 44)*(w - 1)*(w + 1)/3
Suppose 3*o + 2*o = -2*h + 65, 9 = 3*o. Suppose -h*c = -15 - 35. Factor 0 + 1/4*x**5 + 9/4*x**3 + 7/4*x**c + 1/2*x + 5/4*x**4.
x*(x + 1)**3*(x + 2)/4
Let f(u) be the third derivative of -3*u + 0*u**3 + 0 - 121/320*u**6 - 11/40*u**5 - 1/16*u**4 - 19*u**2. Factor f(k).
-3*k*(11*k + 2)**2/8
What is n in -8*n - 14058 + 14058 - 4*n**2 = 0?
-2, 0
Let y(f) = -f**4 + 5*f**3 - 15*f**2 - 5*f + 18. Suppose 27*m + 10 = 22*m. Let j(x) = -x**3 - x**2 - x. Let l(o) = m*j(o) + y(o). Let l(k) = 0. What is k?
-1, 2, 3
Factor 24/5*r**3 - 28/5*r**2 - 4/5*r**4 - 2/5*r**5 + 0 + 2*r.
-2*r*(r - 1)**3*(r + 5)/5
Factor -2/11*q**2 + 2/11*q + 0 - 2/11*q**3 + 2/11*q**4.
2*q*(q - 1)**2*(q + 1)/11
Let x = -64675 + 64680. Suppose 128/5*h - 128/5*h**2 + 8/5*h**3 + 34/5*h**4 - 2*h**x - 32/5 = 0. What is h?
-2, 2/5, 1, 2
Let o(h) be the second derivative of 19*h**4/12 - 58*h**3/3 + 6*h**2 + 581*h. Suppose o(d) = 0. Calculate d.
2/19, 6
Let s = -2600860/3 - -866960. Factor 0 + 6*n + 2/3*n**3 - s*n**2.
2*n*(n - 9)*(n - 1)/3
Solve -2/5*q**2 + 226/5*q - 444/5 = 0.
2, 111
Let x(c) = 15*c**3 - 980*c**2 - 1350*c - 250. Let o(i) = -i**3 - 15*i**2 + i + 1. Let z(q) = 30*o(q) - x(q). Factor z(y).
-5*(y - 14)*(y + 2)*(9*y + 2)
Let p(f) be the second derivative of -f**7/12600 - f**6/240 + 17*f**5/300 + 27*f**4/4 + 54*f. Let x(g) be the third derivative of p(g). Factor x(v).
-(v - 2)*(v + 17)/5
Let u be (-180)/810 - 14618/(-9). Find l such that 10*l**4 - 216*l + u - 822 - 108*l**3 - 858 + 298*l**2 = 0.
-1/5, 2, 7
Suppose -3 = 3*o, -3*w + 5*o + 0 = -11. Let h(c) be the first derivative of -7 + 4*c - c**3 + 1/5*c**5 + 2*c**w - 1/2*c**4. Let h(t) = 0. Calculate t.
-1, 2
Let c = 15433/392 + -1874/49. Determine p, given that c*p - 3/2 + 3/8*p**2 = 0.
-4, 1
Let n(d) = 13*d**3 + 22*d**2 - 15*d - 18. Let i(g) = -15*g**3 - 25*g**2 + 15*g + 18. Let f(l) = -6*i(l) - 7*n(l). Factor f(t).
-(t - 3)*(t + 1)*(t + 6)
Suppose 12*w + 2*w = 70. Suppose -6*g - 3*g**2 + 2*g**w + 2 + 4*g**2 + g**2 + 2*g**2 + 4*g**3 - 6*g**4 = 0. What is g?
-1, 1
Let k(s) = -17*s**4 + 130*s**3 - 794*s**2 - 1966*s - 1040. Let o(l) = -10*l**4 + 66*l**3 - 397*l**2 - 984*l - 520. Let b(i) = -3*k(i) + 5*o(i). Factor b(w).
(w - 52)*(w - 10)*(w + 1)**2
Let r be 6 + (3/(-4))/((-27)/(-36)). Let b be (-483)/(-315) + r/(-25). Determine g, given that 0 + 4/9*g**2 + b*g = 0.
-3, 0
Let s be ((-16 - -24)*1)/(-2) - -4. Find i, given that 4 - 4/9*i**2 + s*i = 0.
-3, 3
Let b(k) = -5*k**3 - 13*k**2 + 20*k + 30. Let c(t) = 17*t**3 + 38*t**2 - 61*t - 89. Let i(q) = -7*b(q) - 2*c(q). Find l, given that i(l) = 0.
-16, -1, 2
Let v(y) be the first derivative of -y**4 + 116*y**3/3 + 1120*y**2 - 2352*y - 7320. Factor v(q).
-4*(q - 42)*(q - 1)*(q + 14)
Let w(m) be the first derivative of 45/4*m**4 + 11 + 40*m + 130/3*m**3 - 90*m**2 - 7*m**5. Determine a so that w(a) = 0.
-2, 2/7, 1, 2
Let l(w) = 4*w**2 - 118*w - 3034. Let h be l(46). Factor 10*s + 75 + 1/3*s**h.
(s + 15)**2/3
Let m(f) = -1811*f - 27165. Let d be m(-15). Factor 4/5*r**4 - 2/5*r**5 + 0 + 6/5*r**3 + 0*r + d*r**2.
-2*r**3*(r - 3)*(r + 1)/5
Let k be (3 - 57/18)/((-1768)/51 - -34). Factor -1/4*s - k*s**3 + 3/2 - s**2.
-(s - 1)*(s + 2)*(s + 3)/4
Suppose 0 = 5*f + 10*g - 13*g - 40, 4*f - 5*g = 45. Let j(l) be the second derivative of -8/3*l**3 - 10*l + 0*l**2 + 0 + 1/5*l**f + 0*l**4. Factor j(k).
4*k*(k - 2)*(k + 2)
Let o(z) be the first derivative of -4*z**3/21 + 26*z**2/7 - 144*z/7 - 1496. Solve o(v) = 0 for v.
4, 9
Suppose -3*y - 59*r = -55*r + 20, 5 = 7*y - r. Factor -26/5*c**2 + 0 - 3/5*c**4 + y*c + 41/5*c**3.
-c**2*(c - 13)*(3*c - 2)/5
Let n = -244 - -248. Suppose 0 = -5*y + 2*j, -j = -n*y - 3*j. Determine m, given that 1/2*m + y + 1/2*m**2 = 0.
-1, 0
Let v(k) be the third derivative of -149*k**2 + 1/270*k**5 + 0*k + 1/378*k**8 + 0*k**4 + 0*k**3 + 0 - 1/135*k**7 + 1/270*k**6. Suppose v(c) = 0. What is c?
-1/4, 0, 1
Let j(v) be the second derivative of -v**7/168 + v**6/72 + v**5/12 + 7*v**3/2 + 6*v + 3. Let y(d) be the second derivative of j(d). Factor y(m).
-5*m*(m - 2)*(m + 1)
Let t(a) be the third derivative of a**6/30 + 19*a**5/60 + a**4/2 - 20*a**2 - 22. Factor t(b).
b*(b + 4)*(4*b + 3)
Let b(x) be the second derivative of x**5/160 + 71*x**4/8 + 60775*x**3/16 + 180625*x**2/8 - 1194*x. Determine u, given that b(u) = 0.
-425, -2
Let s be (6/5)/(162/7560). Let u be 8 - s/(-96)*-6. Factor 3/4*b + 3/4*b**2 - u.
3*(b - 2)*(b + 3)/4
Let b be (-1362)/(-414) - (-4)/92. Find y, given that -b*y - 2/3*y**2 - 4 = 0.
-3, -2
Let p = 12103 - 12101. Let j(x) be the second derivative of -1/6*x**4 - 5/12*x**3 - 1/40*x**5 + 0 - 7*x - 1/2*x**p. Determine c, given that j(c) = 0.
-2, -1
Let x(y) = 4*y**5 + 14*y**4 - 30*y**3 + 26*y**2 + 4*y - 6. Let f(o) = o**5 + 2*o - 1. Let k(j) = -6*f(j) + x(j). Solve k(n) = 0 for n.
0, 1, 4
Let o be 16 - ((-10)/5 - 2). Suppose o = q + 4. Determine a so that -15*a**5 + 12*a**2 + q*a**3 - 12*a**4 + 8 + 7*a**5 - 8 - 8*a = 0.
-2, -1, 0, 1/2, 1
Suppose 2*o = -2*f + 4, 2*o - 14 = -3*f - 8. Factor 561*u + 15*u**2 + 7*u**2 - 126 - 5*u**2 + 10*u**f.
3*(u + 21)*(9*u - 2)
Let m(p) be the first derivative of -3*p**8/560 - p**7/70 + p**6/120 + p**5/20 + 70*p**3/3 + 137. Let q(x) be the third derivative of m(x). Factor q(j).
-3*j*(j + 1)**2*(3*j - 2)
Let g(d) = 9*d**3 - 36*d**2 + 81*d - 54. Let h be ((-205)/123)/(5/(-3)). Let u(w) = -w**3 + 1. Let c(j) = h*g(j) + 12*u(j). Solve c(p) = 0 for p.
-14, 1
Let a(t) = -2*t