 3 - 7*q.
-(q - 3)*(q - 1)**2
Let s(m) = -5*m**3 - 12*m**2 - 11*m. Let d(x) = x**3. Let i(c) = -4*d(c) - s(c). Suppose i(q) = 0. Calculate q.
-11, -1, 0
Let d(l) be the second derivative of 21 - 139*l**3 - 25*l**5 - 21 - 21*l**3 + 100*l**4 - 25*l + 128*l**2. Suppose d(h) = 0. Calculate h.
4/5
Let w(n) be the first derivative of -n**5/5 - 3*n**4/4 + 20. Factor w(j).
-j**3*(j + 3)
Let r(t) be the second derivative of -3*t**5/50 - 2*t**4/5 - t**3/5 + 18*t**2/5 + 85*t. Determine w so that r(w) = 0.
-3, -2, 1
Factor -19*x**2 + 6*x**4 - 23/2*x**3 + 0 - 3/2*x.
x*(x - 3)*(x + 1)*(12*x + 1)/2
Let q(r) be the third derivative of r**5/30 - r**4/12 + 5*r**3/6 - 2*r**2. Let m be q(-3). Find n such that -m*n - 38*n**2 + 33*n + 16*n**2 = 0.
0, 2/11
Suppose -d + s = 4, 0 = 2*d + 4*s + 1 - 5. Let h be d/(-12)*(21 - 19). Suppose 2/3*f + h*f**2 + 0 = 0. Calculate f.
-2, 0
Let t(y) be the first derivative of 1/12*y**3 + 1/20*y**5 - 1/8*y**2 - 9 + 7/48*y**4 - 1/6*y. Find u such that t(u) = 0.
-1, 2/3
Let b(i) be the second derivative of i**5/80 - 3*i**4/16 + 5*i**3/6 + 2*i + 148. Find n, given that b(n) = 0.
0, 4, 5
Let m(y) be the second derivative of y**6/50 - 9*y**5/100 + y**4/10 + 404*y. Factor m(r).
3*r**2*(r - 2)*(r - 1)/5
Let z(d) be the second derivative of 3*d**5/140 + 2*d**4 + 56*d**3 - 765*d. Determine x, given that z(x) = 0.
-28, 0
Let w(a) be the second derivative of -1/3*a**2 - 4/9*a**4 - 11/18*a**3 - 16*a - 7/60*a**5 + 0. Factor w(h).
-(h + 1)**2*(7*h + 2)/3
Let x(c) = 18*c**2 - 4886*c - 600222. Let i(f) = -4*f**2 + 977*f + 120044. Let j(p) = -28*i(p) - 6*x(p). Factor j(l).
4*(l + 245)**2
Let l(n) = -3*n**4 + 7*n**3 + 3*n**2 - 7*n - 5. Let c(i) = -3*i**3 + 2 - 6*i - 3*i**2 + 9*i + 2*i**2 + 2*i**4. Let o(q) = 5*c(q) + 3*l(q). Solve o(y) = 0 for y.
-5, -1, 1
Suppose i - 15 = -a - 4*i, -5*i = -5*a + 105. Suppose -15*m = -a*m + 10. Find d such that 1/3*d**3 + 0*d + 0*d**4 + 0 + 0*d**m - 16/3*d**5 = 0.
-1/4, 0, 1/4
Let a(w) be the second derivative of 1/30*w**5 + 1/6*w**4 - 1/45*w**6 - 10*w + 0 + 0*w**2 + 1/6*w**3. Let s(t) be the second derivative of a(t). Factor s(r).
-4*(r - 1)*(2*r + 1)
Let x(f) = -2*f - 2. Let j be (-42)/3*(-6)/(-12). Let z be x(j). Let -2*w**4 - 63*w**3 - 8*w**2 + 60*w**2 - 4*w**2 - z*w + 29*w**4 = 0. Calculate w.
0, 2/3, 1
Let l(c) be the second derivative of c**6/15 + c**5/4 - c**4/4 - 37*c - 3. Factor l(x).
x**2*(x + 3)*(2*x - 1)
Let f(w) be the third derivative of -w**6/8 + 5*w**5/3 + 155*w**4/24 + 20*w**3/3 + 14*w**2 - 3*w. Determine z, given that f(z) = 0.
-1, -1/3, 8
Determine g, given that 783/4*g - 391/2*g**3 - 337/2*g**2 + 729/4 - 55/4*g**4 - 1/4*g**5 = 0.
-27, -1, 1
Determine z, given that -2/5*z**4 + 2/5*z**5 - 8/5 + 2*z**2 - 2*z**3 + 8/5*z = 0.
-2, -1, 1, 2
Let -16/7*g + 16/7 - 12/7*g**5 - 36/7*g**2 + 4/7*g**4 + 44/7*g**3 = 0. What is g?
-2, -2/3, 1
Suppose 3*o + 25 + 29 = 0. Let d be 2 - (3 + -2*(-15)/o). Factor 1/3*r + 0*r**2 + 0*r**4 + 0 + 1/3*r**5 - d*r**3.
r*(r - 1)**2*(r + 1)**2/3
Let w = 705121/1594065 + 4/48305. Let y = w - 8/33. Factor 0*j - y*j**4 + 0 - 2/5*j**3 - 1/5*j**2.
-j**2*(j + 1)**2/5
Let 0 - 68/7*p**4 - 52/7*p**2 + 8/7*p + 96/7*p**3 + 16/7*p**5 = 0. What is p?
0, 1/4, 1, 2
Let x(u) be the third derivative of 0*u**3 + 0*u + 0*u**5 + 0*u**4 - 1/720*u**6 + 1/1260*u**7 + 0 + 6*u**2. Find h such that x(h) = 0.
0, 1
Let s(b) = 15*b**2 - 55*b + 50. Let j(a) be the first derivative of 2*a**3/3 - 7*a**2/2 + 6*a + 34. Let p(l) = 25*j(l) - 3*s(l). Let p(d) = 0. What is d?
0, 2
Let l(b) = -7*b**3 - 260*b**2 + 5564*b - 5297. Let r(k) = -2*k**3 - k**2 + 4*k - 1. Let g(c) = -l(c) + 5*r(c). Factor g(t).
-3*(t - 42)**2*(t - 1)
Suppose 0 = -f + 10 - 4. Suppose f - 6 = 8*d. Suppose -1/2*t**4 - 3/2*t**3 - t**2 + 0 + d*t = 0. Calculate t.
-2, -1, 0
Suppose -21*r = 12*r + 4*r. Factor -8/5*m - 4/5*m**2 + r.
-4*m*(m + 2)/5
Suppose -2*x - q + 7 = 0, 5*q - 3 = -2*x - 0. Suppose 4/3 + 2/3*p**3 - 4/3*p + 1/3*p**x - p**2 = 0. Calculate p.
-2, 1
Let g(x) be the third derivative of -x**8/336 - x**7/105 + x**6/40 + x**5/15 - x**4/6 - x**2 + 33. Factor g(a).
-a*(a - 1)**2*(a + 2)**2
Determine i, given that 7993 + 3*i**3 + 15*i**4 + 6*i**2 + 30*i**3 - 7993 = 0.
-2, -1/5, 0
Let g(r) be the first derivative of -r**5/15 + 5*r**4/6 + 4*r**3/3 - 5*r**2/3 - 11*r/3 - 16. Factor g(q).
-(q - 11)*(q - 1)*(q + 1)**2/3
Let m(z) be the third derivative of 0*z - 1/21*z**7 - 11*z**2 + 2/3*z**4 + 2/15*z**5 - 1/168*z**8 + 0*z**3 - 1/10*z**6 + 0. Factor m(b).
-2*b*(b - 1)*(b + 2)**3
Suppose -2*b + 7 = 3. Let g = 2/1535 - -3044/19955. Factor 2/13*a**3 + g*a**b + 0 - 4/13*a.
2*a*(a - 1)*(a + 2)/13
Let g(x) be the third derivative of x**5/100 - 7*x**4/20 - 3*x**3/2 + 2*x**2 - 58. What is q in g(q) = 0?
-1, 15
Let c = -38 - -27. Let p = c + 15. Find y such that 11*y**2 - p*y + 0*y - 4*y**3 - 3*y**2 = 0.
0, 1
Let q = -944 - -947. Let -2/5*t - 2/5*t**q + 0 + 4/5*t**2 = 0. What is t?
0, 1
Let s(i) be the third derivative of -i**7/42 + i**5/12 + 43*i**2. Factor s(n).
-5*n**2*(n - 1)*(n + 1)
Let g(m) be the second derivative of -m**7/84 - 7*m**6/80 - 33*m**5/160 - 19*m**4/96 - m**3/16 + 72*m. Find c such that g(c) = 0.
-3, -1, -1/4, 0
Let h(a) be the third derivative of 1/48*a**4 + 0*a - 1/840*a**7 + 1/240*a**5 - 1/240*a**6 + 0*a**3 + 7*a**2 + 0. Suppose h(s) = 0. What is s?
-2, -1, 0, 1
Let j be (-8)/28 - 264/(-770). Let p(s) be the first derivative of -2/21*s**3 + 0*s**4 + j*s**5 + 0*s**2 - 8 + 0*s. Factor p(q).
2*q**2*(q - 1)*(q + 1)/7
Let m(d) be the second derivative of 0 + 0*d**3 + 19*d + 0*d**4 + 1/30*d**6 + 3/20*d**5 + 0*d**2. What is k in m(k) = 0?
-3, 0
Let x(m) be the second derivative of m**6/120 - 3*m**5/80 - m**4/12 - 2*m - 80. Factor x(u).
u**2*(u - 4)*(u + 1)/4
Let y(w) be the third derivative of w**8/4032 + w**7/504 + 11*w**5/60 + 42*w**2. Let f(v) be the third derivative of y(v). Find n such that f(n) = 0.
-2, 0
Let n(u) = 40*u + 440. Let x be n(-11). Factor 3/2*f**4 + 0*f**2 + x*f - 3/2*f**3 + 0.
3*f**3*(f - 1)/2
Factor -2/7*g**2 + 0 - 106/7*g + 106/7*g**3 + 2/7*g**4.
2*g*(g - 1)*(g + 1)*(g + 53)/7
Let a(o) be the first derivative of 2/13*o - 1/13*o**4 + 2/13*o**2 + 0*o**3 - 2 - 2/65*o**5. Factor a(x).
-2*(x - 1)*(x + 1)**3/13
Factor 16/7 - 12/7*l - 54/7*l**2.
-2*(3*l + 2)*(9*l - 4)/7
Find u such that -1/5*u**3 + 2/5*u**2 + 0*u + 0 = 0.
0, 2
Let o(c) = c + 1. Let v be o(1). Factor 12 + 2*d**3 - 17*d**2 - 8*d + 21*d**v - 28.
2*(d - 2)*(d + 2)**2
Let y(s) be the first derivative of -s**7/560 + s**5/80 - s**3/16 + 6*s**2 - 3. Let m(n) be the second derivative of y(n). Factor m(z).
-3*(z - 1)**2*(z + 1)**2/8
Let w(z) be the first derivative of -1/6*z**3 - 1/6*z**4 + z**2 + 1/20*z**5 - 4 + z. Let m(d) be the first derivative of w(d). Factor m(y).
(y - 2)*(y - 1)*(y + 1)
Suppose 5 = -4*g + 17. Let z(u) = 4*u - 33. Let p be z(14). Determine t so that 0*t**4 + 0*t**4 + 18*t**g + 59*t**2 + 24*t + 3*t**4 - p*t**2 = 0.
-2, 0
Let x(a) be the first derivative of 16/5*a + 11 + 4/3*a**3 - 1/10*a**4 - 17/5*a**2. Factor x(h).
-2*(h - 8)*(h - 1)**2/5
Let h = -43723 - -43728. Let -20/7*q**3 - 2/7*q**h + 10/7 - 2*q**4 + 4/7*q**2 + 22/7*q = 0. What is q?
-5, -1, 1
Let -408/7*s**2 - 15/7*s**4 - 699/7*s**3 + 276/7*s + 0 = 0. Calculate s.
-46, -1, 0, 2/5
Let j(c) be the second derivative of -1/8*c**4 + 0 - 8*c + 1/2*c**3 + 9/4*c**2. Factor j(z).
-3*(z - 3)*(z + 1)/2
Factor -130150*c + c**3 + 7*c**4 + 130150*c.
c**3*(7*c + 1)
Let i(c) be the second derivative of 5/6*c**4 + 0*c**2 - 5/42*c**7 + 7*c + 5/6*c**3 + 0*c**5 - 1/3*c**6 + 0. Factor i(y).
-5*y*(y - 1)*(y + 1)**3
Let k be (-8 + 147/35)/(-1) - 3. Let 2/5*v**2 + k*v - 2/5*v**3 + 0 = 0. Calculate v.
-1, 0, 2
Let b(o) = -o**3 + 3*o**2 + 5*o - 2. Let i be b(4). Factor -4*r**i - 4*r**3 + 10*r**3 - 4*r**3.
2*r**2*(r - 2)
Let a(g) be the second derivative of 1/90*g**6 + 0 - 3*g - 2/15*g**5 + 11/18*g**4 + 3/2*g**2 - 4/3*g**3. Solve a(t) = 0.
1, 3
Let v = 292 - 288. Factor 0 - 5/2*j**2 + 5*j + 15/2*j**v - 10*j**3.
5*j*(j - 1)**2*(3*j + 2)/2
Suppose -3*p**2 + 96*p**5 - 99*p**5 + 9*p**4 + 3*p**2 = 0. Calculate p.
0, 3
Let y(p) = 18*p**4 - 27*p**3 + 12*p**2 + 27*p - 15. Let u(f) = f**4 - 2*f**3 + f**2 + 2*f - 1. Let k(d) = 15*u(d) - y(d). Factor k(r).
-3*r*(r - 1)*(r + 1)**2
Let w be (-6)/(-27) - 10/(-6)*(-36)/270. Fa