(g) = 0. What is g?
-6/17
Let u be (0 - 1/((-2)/(-6))) + 3. Let f(g) be the third derivative of 1/20*g**5 + 1/12*g**4 - 1/60*g**6 + 0*g**3 - 1/70*g**7 + u + 0*g - 2*g**2. Factor f(m).
-m*(m - 1)*(m + 1)*(3*m + 2)
Let m be (0 - -1)/(135/60) + 0. Factor 2/9*r + 2/9*r**3 + m*r**2 + 0.
2*r*(r + 1)**2/9
Factor -40*y + 40*y + 1 - y**2.
-(y - 1)*(y + 1)
Let w(i) = 6*i**5 + 16*i**4 - 2*i**3 - 10*i**2 - 10*i. Let u(p) = -p**4 + p. Let n(q) = -6*u(q) - w(q). Let n(v) = 0. What is v?
-1, -2/3, 0, 1
Factor 0*n + 4/3*n**2 - 4/3.
4*(n - 1)*(n + 1)/3
Let b(h) = -17*h**3 + h**2 - 3. Let q = 59 + -30. Let y(a) = 4*a**2 - 27*a**3 - 16 - q*a**3 - 30*a**3. Let t(r) = 16*b(r) - 3*y(r). Suppose t(d) = 0. What is d?
0, 2/7
Let w be -1*(-3)/9 - (-10)/6. Factor -1/4*u - 1/4 + 1/4*u**3 + 1/4*u**w.
(u - 1)*(u + 1)**2/4
Let v be 7/2*(-12)/(-21). Factor -9*n**2 - 4*n**3 - 2*n**v - n**2 - 8*n.
-4*n*(n + 1)*(n + 2)
Let y(r) be the first derivative of r**8/24 - r**7/35 - 2*r**6/35 - 2*r**5/105 - r**2 - 3. Let m(o) be the second derivative of y(o). Find w such that m(w) = 0.
-2/7, 0, 1
Let p(x) = -2*x**2 + 5*x - 3. Let s be 387/81 + (-2)/(-9). Let a(d) = 9*d**2 - 24*d + 15. Let h(f) = s*a(f) + 24*p(f). Let h(r) = 0. What is r?
-1, 1
Let q = 48 + -48. Find t, given that -2/9*t**2 + q + 0*t = 0.
0
Factor -1 + 1/3*t**2 + 2/3*t.
(t - 1)*(t + 3)/3
Suppose -4/3*p**4 + 4/3*p**2 + 0 + 0*p - 2*p**5 + 2*p**3 = 0. What is p?
-1, -2/3, 0, 1
Let i(a) = 2*a**3 - a**2 + 2*a - 1. Let o be i(1). Factor 12 + 3*d**2 + 12*d - 2*d**o + 2*d**2.
3*(d + 2)**2
Let b(z) be the first derivative of z**8/2100 + z**7/420 + z**6/450 - z**3 + 2. Let j(i) be the third derivative of b(i). Suppose j(f) = 0. Calculate f.
-2, -1/2, 0
Solve 0*p + 0*p**3 + 0 - 1/3*p**5 - 1/3*p**4 + 0*p**2 = 0 for p.
-1, 0
Let y(z) be the third derivative of -7*z**6/720 - z**5/40 - z**4/72 + 21*z**2. Solve y(n) = 0 for n.
-1, -2/7, 0
Factor -3/2*n**2 - 1/2*n + 1.
-(n + 1)*(3*n - 2)/2
Let g(f) = -f - 10. Let c(j) = -j - 10. Let z(x) = 3*c(x) - 4*g(x). Let v be z(-8). Factor -m**v + 11 + 3*m**3 - 4*m**3 - 11.
-m**2*(m + 1)
Let f(g) = 16*g**2 + 10*g - 4. Let z(c) = -65*c**2 - 40*c + 16. Let a(h) = -9*f(h) - 2*z(h). Let a(b) = 0. Calculate b.
-1, 2/7
Let l(n) be the first derivative of 3*n**4/32 - 9*n**2/16 + 3*n/4 + 2. Find b such that l(b) = 0.
-2, 1
Find d such that 2/11*d + 2/11*d**2 + 0 = 0.
-1, 0
Let v = -3 + 5. Factor -2/9*n**3 - 2/9*n**4 + 2/9*n + 2/9*n**v + 0.
-2*n*(n - 1)*(n + 1)**2/9
Let h = 7/10 + -1/5. Let t be 1/2*1 - 0. Factor 1/2*m**2 - t - 1/2*m + h*m**3.
(m - 1)*(m + 1)**2/2
Let v(m) be the third derivative of -1/66*m**4 + 0*m**3 - 3*m**2 + 0 + 0*m + 1/330*m**5. Factor v(g).
2*g*(g - 2)/11
Let c(f) be the third derivative of -f**7/840 + f**6/480 + f**5/240 - f**4/96 - 2*f**2. Let c(p) = 0. What is p?
-1, 0, 1
Suppose 0*o + 16 = 4*o + 4*j, j + 16 = 4*o. Suppose -o*r + 10 = -2. Factor -4*f**4 + 2*f**2 + f**4 + 5*f**4 + 7*f**3 - r*f**3.
2*f**2*(f + 1)**2
Let m be 4 + ((-60)/(-27))/((-6)/9). Factor m*a**2 + 0 + 1/3*a**3 + 1/3*a.
a*(a + 1)**2/3
Suppose 2*t = -0*w + 2*w, 5*w = -t + 12. Solve -x - 129*x**2 - x + 131*x**w = 0 for x.
0, 1
Let s = -57 - -190. Let w = -395/3 + s. Factor -w*a + 0 - 1/3*a**3 - 4/3*a**2.
-a*(a + 2)**2/3
Let n(b) be the third derivative of b**8/13440 - b**7/5040 - 3*b**4/8 + 9*b**2. Let u(t) be the second derivative of n(t). Factor u(s).
s**2*(s - 1)/2
Let i(v) be the first derivative of 5*v**3/3 - 5*v**2 + 5*v + 15. Factor i(n).
5*(n - 1)**2
Let b(i) = i**3 - 9*i**2 + 9*i - 6. Suppose -15 - 17 = -4*a. Let f be b(a). Suppose -1 - 9/2*k + 7/2*k**4 - 5/2*k**f + 9/2*k**3 = 0. What is k?
-1, -2/7, 1
Let o(g) be the third derivative of -g**5/80 + g**4/32 + g**3/4 + 10*g**2. Suppose o(u) = 0. What is u?
-1, 2
Factor 21*r**2 + 81 + 21*r**2 - 8*r**2 + 12*r**3 + 108*r + 20*r**2 + r**4.
(r + 3)**4
Let v(g) be the third derivative of g**8/1176 - 2*g**7/735 - g**6/140 - g**2 - 8. Factor v(b).
2*b**3*(b - 3)*(b + 1)/7
Let l(c) be the third derivative of c**7/945 + c**6/180 + c**5/135 - 4*c**2. Let l(z) = 0. Calculate z.
-2, -1, 0
Let y be 0/(-3) + (-1 - -3). Let o = -4 + 10. Factor -4*b + 0*b - o*b - 16*b**y - 6*b**3 + 2*b.
-2*b*(b + 2)*(3*b + 2)
Suppose 0 = -35*k - 35 + 105. What is t in 2/5 + 7/5*t**3 - 12/5*t**k + 3/5*t = 0?
-2/7, 1
Factor -27 - 3/4*t**2 - 9*t.
-3*(t + 6)**2/4
Let u(n) be the first derivative of -n**6/2 + 3*n**5/5 + 3*n**4/2 - 2*n**3 - 3*n**2/2 + 3*n - 38. Solve u(d) = 0.
-1, 1
Let g be -3*1 - 10*(-2)/4. Factor 0 - 21/4*f**3 + 11/4*f**g - 5/4*f**5 - 1/2*f + 17/4*f**4.
-f*(f - 1)**3*(5*f - 2)/4
Let u(p) be the third derivative of p**6/270 + 7*p**5/270 + p**4/36 - 13*p**2. Factor u(k).
2*k*(k + 3)*(2*k + 1)/9
Let y be -2*(156/(-240) - 8/(-20)). Factor 0 + y*p - 1/6*p**2.
-p*(p - 3)/6
Find u such that -30*u**3 + 23*u - 49*u + 5*u**4 - 34*u + 65*u**2 + 20 = 0.
1, 2
Let v be 6/10 + 136/40. Let n be (-6)/v*144/(-297). Factor -n*w - 2/11*w**3 + 8/11*w**2 + 0.
-2*w*(w - 2)**2/11
Let a = -5 - -7. Factor 3 + s + 3*s**2 + 3*s - 2*s**a + 1.
(s + 2)**2
Let r(n) = 4*n**4 + 4*n**3 - 6*n**2 - 2*n - 2. Let f(t) = t**4 + t**3 - t**2 + t. Let j(o) = 3*f(o) - r(o). Factor j(q).
-(q - 2)*(q + 1)**3
Let p(u) be the first derivative of -5/7*u**4 + 6 - 5/7*u**2 - 2/7*u**5 - 1/21*u**6 - 2/7*u - 20/21*u**3. Factor p(h).
-2*(h + 1)**5/7
Let t(v) be the first derivative of -3*v**4/22 + 18*v**3/11 + 3*v**2/11 - 54*v/11 - 16. Factor t(k).
-6*(k - 9)*(k - 1)*(k + 1)/11
Let t(b) = 8*b**2 - 37*b + 17. Let d(f) = 39*f**2 - 186*f + 86. Let w(r) = 2*d(r) - 11*t(r). Factor w(s).
-5*(s - 3)*(2*s - 1)
Suppose -3 = 4*t + 1. Let g be (-15)/9 + t + 3. Factor -1/3*l**2 + g*l - 1/3*l**3 + 1/3*l**4 + 0.
l*(l - 1)**2*(l + 1)/3
Let w(j) be the third derivative of 1/40*j**6 - j**2 - 1/210*j**7 + 1/24*j**4 + 0*j + 0 + 0*j**3 - 1/20*j**5. Factor w(m).
-m*(m - 1)**3
Determine u so that 8*u - 11*u**2 + 30*u**3 - 40*u**4 + 3*u**2 - 116*u**3 = 0.
-2, -2/5, 0, 1/4
Let q(t) = -t + 2. Let r be 2/4*-2 - -1. Let n be q(r). Solve 2 + 6*d**3 + 2*d**4 - n + 6*d**2 + 2*d = 0.
-1, 0
Let t(i) = -2*i**2 + 4*i. Let y(p) = p - p**2 - 4*p + 2*p**2. Let j(k) = 2*t(k) + 3*y(k). Determine q so that j(q) = 0.
-1, 0
Suppose h - 1 = 2. Let v = h - 1. Factor 3*x**4 - x**4 + v*x**2 + 4*x**2 - 5*x**2 - 3*x**3.
x**2*(x - 1)*(2*x - 1)
What is r in -67*r**3 + 47 - 8*r**4 - 124*r**2 - 8*r + 1 - 8*r - r**3 = 0?
-6, -2, -1, 1/2
Suppose 3*a + 13 = 3*s + 4, -15 = -5*a - s. Suppose 0 = -d + 3*b - 1, 2*d - 5 - 2 = -3*b. Factor -a*k**3 + 10*k + 2 + 4*k**4 + 2*k**2 + 2 + 4*k**d - 6*k**4.
-2*(k - 2)*(k + 1)**3
Suppose 5*w - 5*i = 60, -i = -0*w - 2*w + 27. Solve 0*b**5 - 18*b - 30*b**3 - 2*b**5 + 3 + w*b**4 + 3*b - b**5 + 30*b**2 = 0.
1
Let p(t) be the second derivative of 2*t**6/255 + 7*t**5/170 + t**4/102 - 7*t**3/51 - 3*t**2/17 + 7*t. Suppose p(k) = 0. Calculate k.
-3, -1, -1/2, 1
Let g(r) = -r**2 - 8*r + 12. Let z be g(-9). Factor -b**z + 4*b + 3*b - 7*b + b**2.
-b**2*(b - 1)
Let m(z) = 18*z**2 - z - 1. Let i be m(-1). Factor 21*h**3 + i*h**2 - h + 4*h**4 + 2*h**4 - 6 - 2*h.
3*(h + 1)**2*(h + 2)*(2*h - 1)
Let n = 25 - 22. Suppose -3*i = -n*g + 4*g - 11, g + 4*i = 13. Factor -2/3*h**2 - 4*h**3 - 8/3*h**g - 6*h**4 + 0 + 0*h.
-2*h**2*(h + 1)**2*(4*h + 1)/3
Let z = -255/4 - -64. Let j be (-6)/(-7)*14/16. Suppose -j*x + z*x**2 + 1/2 = 0. Calculate x.
1, 2
Let i(n) be the second derivative of n**7/840 + n**6/180 + n**3/2 + 3*n. Let c(b) be the second derivative of i(b). Find h such that c(h) = 0.
-2, 0
Let m = 2901/5 - 579. Factor 3/5*g**2 + 3/5 - m*g.
3*(g - 1)**2/5
Let l(s) be the second derivative of -s**4/4 + s**3/2 - s. Suppose l(q) = 0. Calculate q.
0, 1
Factor -2/17*m**2 + 4/17*m + 0 - 2/17*m**3.
-2*m*(m - 1)*(m + 2)/17
Let o be (-2)/4 + (-2)/4. Let m be 2 + o + 1 + 2. Find r such that -12*r**5 + 0*r**2 - 13*r**m + 4*r**2 - 3*r**2 = 0.
-1, -1/3, 0, 1/4
Let c(q) be the first derivative of -q**3 - 5. Suppose c(i) = 0. What is i?
0
Let y(b) = -15*b**4 + 70*b**3 - 85*b**2. Let r(s) = -s**4 + 5*s**3 - 6*s**2. Let f(c) = -85*r(c) + 6*y(c). Find v, given that f(v) = 0.
-1, 0
Let f(u) be the second derivative of u**6/75 - u**5/50 - u**4/15 + 31*u. Solve f(g) = 0.
-1, 0, 2
Let x(h) be the first derivative of 0*h + 0*h**5 + 0*h**2 + 2 - 1/3*h**3 + 0*h**4 + 1/1620*h**6. Let a(w) be t