(g).
g*(g + 1)*(g + 2)
Factor 4/9*f**2 + 0*f**4 + 2/9*f**5 + 2/3*f - 8/9*f**3 - 4/9.
2*(f - 1)**3*(f + 1)*(f + 2)/9
Let b(h) be the first derivative of 0*h**2 + 1 + 1/12*h**3 - h + 1/24*h**4. Let s(q) be the first derivative of b(q). What is x in s(x) = 0?
-1, 0
Let c = 959 - 957. Solve 0 + 0*b**4 + 0*b**c - 2/17*b**5 - 2/17*b + 4/17*b**3 = 0 for b.
-1, 0, 1
Let m be 31/84 - 7*10/245. Let h(d) be the second derivative of 0*d**2 - d + 0 + 1/6*d**3 + m*d**4. Factor h(n).
n*(n + 1)
Factor 1/8*n**2 + 0 - 1/8*n.
n*(n - 1)/8
Let p(c) = -c + 16. Let t be p(14). Factor -2*b**2 - 5*b**t + 3*b**2 + 6*b**2.
2*b**2
Let f = -7 + 7. Let a = 3 + f. Factor -14 + 6*u**a - 3*u + 14 - 3*u**5.
-3*u*(u - 1)**2*(u + 1)**2
Suppose -2*h + 27 = -31. Let a = 48 - h. Factor 17*b**3 + a*b**3 + 27*b**5 + 4*b**2 + 54*b**4 + 4*b**2.
b**2*(3*b + 2)**3
Let j(o) = o - 7. Let i be j(10). Let q(s) be the third derivative of 3*s**2 + 0 + 1/60*s**5 + 1/240*s**6 + 0*s + 0*s**i + 1/48*s**4. Factor q(p).
p*(p + 1)**2/2
Let 0 + 0*d - 3/4*d**4 + 3/4*d**5 + 0*d**3 + 0*d**2 = 0. Calculate d.
0, 1
Let l = 98 - 293/3. Suppose 1/3*z**2 - l*z + 0 = 0. Calculate z.
0, 1
Let d(k) be the second derivative of 0 + 2/45*k**6 + 1/30*k**5 + 0*k**3 + 1/63*k**7 + 0*k**2 + 8*k + 0*k**4. Factor d(b).
2*b**3*(b + 1)**2/3
Let t(w) be the first derivative of w**3/3 + 3*w**2/2 - 11. Factor t(d).
d*(d + 3)
Let k(n) be the second derivative of n**4/60 - n**3/6 - 3*n**2/5 - 15*n. Let k(u) = 0. What is u?
-1, 6
Let o(w) be the second derivative of -7*w**6/60 + 5*w**5/16 - 13*w**4/48 + w**3/12 - 23*w. Suppose o(n) = 0. Calculate n.
0, 2/7, 1/2, 1
Suppose -x + 16 = -4*c, 0*x + 3*c - 18 = -3*x. Let -o**4 - o**4 + x*o**2 - 7*o**4 - 2*o**5 - 12*o**3 - o**4 + 16*o = 0. What is o?
-2, 0, 1
Let s(c) = -2*c**3 - 2*c**2 + 2*c + 2. Let g(n) = n**3 + n**2 - n - 1. Let b(w) = -6*g(w) - 4*s(w). Suppose b(f) = 0. What is f?
-1, 1
Let z be 2 + (-9)/12 + -1. Let x(y) be the second derivative of -1/84*y**7 + y - z*y**5 + 1/12*y**6 + 1/4*y**2 - 5/12*y**3 + 5/12*y**4 + 0. Factor x(t).
-(t - 1)**5/2
Let x be (-2)/(-21)*(-1 - -4). Let l be (-6)/4 + 6/4. Factor 0*y**2 + l + 2/7*y - x*y**3.
-2*y*(y - 1)*(y + 1)/7
Let g = -10 + 10. Let z(j) be the second derivative of g + 1/15*j**6 - 1/6*j**4 - j + 0*j**2 + 1/10*j**5 - 1/3*j**3. Solve z(a) = 0.
-1, 0, 1
Let o(b) = 2*b**2 + 16*b + 32. Let v(m) = -4*m**2 - 32*m - 64. Let y(n) = -5*o(n) - 3*v(n). Factor y(l).
2*(l + 4)**2
Let b(n) be the second derivative of n**7/252 - n**6/90 - n**5/10 - 7*n**4/36 - 5*n**3/36 - 19*n. Factor b(f).
f*(f - 5)*(f + 1)**3/6
Let u(q) = q**3 + q**2 - q. Let a be u(-1). Let i be a + -2 - 3/(-2). Suppose 0 - i*c**2 - 1/2*c = 0. Calculate c.
-1, 0
Let k(t) be the third derivative of -t**6/180 + t**5/30 - t**4/18 + 7*t**2. Let k(r) = 0. What is r?
0, 1, 2
Let z(q) be the first derivative of 1/10*q**5 + 2 + 0*q - 3/16*q**4 + 1/12*q**3 + 0*q**2. Factor z(s).
s**2*(s - 1)*(2*s - 1)/4
Let g(z) = -2*z + 2. Let p be g(2). Let s be 2/8 + p/8. Let -2*i**3 - 2*i + 0*i**3 + s*i + 4*i**2 = 0. Calculate i.
0, 1
Let j(z) = z**2 + 5*z + 3. Let y be 3/(0 + 6/8). Let q be (15/(-10))/(2/y). Let n(f) = -f**2 - f - 1. Let i(g) = q*n(g) - j(g). Factor i(r).
2*r*(r - 1)
Let x = -110 + 772/7. Determine g, given that -x*g**2 - 2/7 - 4/7*g = 0.
-1
Let d = 7 + -6. Let p be d - (-1 + (-21)/(-12)). Suppose 1/2*x**2 + 1/4*x + p*x**3 + 0 = 0. What is x?
-1, 0
Let v(a) be the third derivative of -a**8/26880 + a**7/3360 - 11*a**4/24 + 8*a**2. Let k(x) be the second derivative of v(x). Determine h so that k(h) = 0.
0, 3
Let r(o) = 3*o**4 + 6*o**3 - 9*o**2 + 6*o. Let p(g) = g**4 - g**3 + g**2. Let b = -19 - -13. Let z(v) = b*p(v) + r(v). Suppose z(i) = 0. What is i?
0, 1, 2
Suppose -l + 70 = 4*l. Let a be (-8)/77 + 4/l. Factor -a + 2/11*m**2 - 2/11*m + 2/11*m**3.
2*(m - 1)*(m + 1)**2/11
Let l be 10/45 - (-4)/9. Let j be ((-2)/5)/((-3)/5). Solve 2/3 - 2/3*f**3 - l*f**2 + j*f = 0.
-1, 1
Let i be (-20)/(-6)*4/20. Suppose 8 = -h + 5*h. Solve 2/3*c + i*c**h - 4/3 = 0.
-2, 1
Let d(g) = g - 1. Let w(l) = 5*l**2 + 5*l - 25. Let y(f) = 25*d(f) - w(f). Let y(n) = 0. What is n?
0, 4
Let n(d) be the third derivative of -d**6/280 + 3*d**4/56 - d**3/7 - 2*d**2. Determine k, given that n(k) = 0.
-2, 1
Let p(d) be the second derivative of 0 - 2/3*d**3 + 0*d**2 - 1/6*d**4 - 19/15*d**6 + d + 1/3*d**7 + 3/2*d**5. Let p(i) = 0. Calculate i.
-2/7, 0, 1
Let d(w) be the third derivative of w**6/180 + w**5/18 + 7*w**4/36 + w**3/3 + 7*w**2. Find a such that d(a) = 0.
-3, -1
Let u be (-319)/(-18) - 2/9. Let k = -17 + u. Solve -2 - k*i**2 - 2*i = 0.
-2
Let q(d) be the first derivative of 49/9*d**4 + 4*d**2 - 4 + 70/9*d**3 + 8/9*d. Determine t, given that q(t) = 0.
-1/2, -2/7
Suppose -q + 0 = -2. Suppose -q*g + 3*m - 2*m = -11, 5*m = -2*g - 7. Let 0*s**4 + 5*s**4 - 2*s**4 + 6*s**5 - s**g = 0. What is s?
-1/3, 0
Factor 2752 + z**3 + z**2 - 2755 + 2*z**2 - z.
(z - 1)*(z + 1)*(z + 3)
Let b(m) be the second derivative of m**7/28 - m**6/5 + 9*m**5/40 + m**4/2 - m**3 - 21*m. Let b(t) = 0. Calculate t.
-1, 0, 1, 2
Let g(b) be the first derivative of -5*b**3/9 - 50*b**2/3 - 500*b/3 + 29. Suppose g(y) = 0. Calculate y.
-10
Let a = 4 - -1. Let k(h) be the second derivative of 2*h + 0 + 1/36*h**4 + 0*h**2 - 1/126*h**7 - 1/20*h**a + 0*h**3 + 1/30*h**6. Factor k(j).
-j**2*(j - 1)**3/3
Let a(d) be the second derivative of d**4/96 - d**3/8 + 9*d**2/16 + 10*d. Factor a(g).
(g - 3)**2/8
Suppose 6*t + 5 = 29. Let b(h) be the first derivative of 7/8*h**t + 9/8*h**2 - 1 + 1/2*h + 1/24*h**6 + 3/10*h**5 + 4/3*h**3. Factor b(j).
(j + 1)**4*(j + 2)/4
Suppose -b + 5 = 1. Factor -x**5 - 3*x**3 + 23*x**4 - 5*x**b + x**2 - 15*x**4.
-x**2*(x - 1)**3
Let w(d) be the third derivative of d**7/420 - d**6/120 - d**5/30 + d**4/6 + 27*d**2. Factor w(p).
p*(p - 2)**2*(p + 2)/2
Suppose -5*l + 28 = i, 10 = 3*l + 5*i - i. Let b(m) = m**2 - 7*m + 8. Let x be b(l). Let -u**3 - u**3 - 2*u**x + u - u**3 + 4*u**3 = 0. Calculate u.
0, 1
Find t, given that 2/3*t**2 + 1/3*t**3 + 1/3*t + 0 = 0.
-1, 0
Let r(f) be the first derivative of 4*f**5/5 - f**4/2 - 16*f**3/3 + 4*f**2 - 12. Let r(v) = 0. Calculate v.
-2, 0, 1/2, 2
Let x(i) = i**3 - i**2 + i. Suppose 4*a - 12 = 0, -2*z = -z - 5*a + 15. Let b be x(z). What is f in 2/3*f**2 + b*f + 0 = 0?
0
Let n be 0 + 7/(-3) - -3. Factor 2*r + n*r**2 + 4/3.
2*(r + 1)*(r + 2)/3
Let j(p) be the second derivative of p**9/90720 - p**8/40320 - p**7/7560 - 3*p**4/4 + 2*p. Let g(y) be the third derivative of j(y). What is a in g(a) = 0?
-1, 0, 2
Suppose 4*y - 14 = x, 5*y + 0*y = x + 18. Suppose -x*t = 3*t - 15. Factor t*w**2 + 0 - 5*w**2 + 4*w + 0 - 2.
-2*(w - 1)**2
Factor 14*t**2 - 6*t**2 - 8 + 5*t + 7*t + 0*t.
4*(t + 2)*(2*t - 1)
Let k(g) be the second derivative of g**4/12 - 2*g**2 + 24*g. Solve k(v) = 0.
-2, 2
Let r(c) be the first derivative of 0*c**2 + 3 + 0*c - 1/9*c**6 - 1/6*c**4 + 4/15*c**5 + 0*c**3. Determine q so that r(q) = 0.
0, 1
Let m be (15/(-6) - -3)*-6. Let v = m + 7/2. Factor 1/2*y**5 + v*y**4 - 1/2*y**3 + 0*y + 0 - 1/2*y**2.
y**2*(y - 1)*(y + 1)**2/2
Suppose -3/5*z**4 + 3/5*z**3 + 0 + 0*z**2 + 0*z = 0. What is z?
0, 1
Let v(c) = 1. Let d(a) = -9*a**3 + 24*a**2 - 21*a + 5. Let m(u) = -u - 4. Let f be m(-3). Let s(i) = f*d(i) - v(i). Factor s(x).
3*(x - 1)**2*(3*x - 2)
Let z be 38/8 - 3/4. Factor 5*p**z - 4*p**2 + 0*p**3 - 3*p**4 - 2*p**3.
2*p**2*(p - 2)*(p + 1)
Let u = -949/990 - -32/33. Let p(f) be the third derivative of 0*f**3 + 0*f**4 + 0*f - f**2 - 1/90*f**6 + 0 + u*f**5 + 1/315*f**7. Factor p(j).
2*j**2*(j - 1)**2/3
Let x(w) be the third derivative of -w**5/240 + w**4/96 - 10*w**2. Factor x(v).
-v*(v - 1)/4
Factor -3*q**2 + 5*q**2 - q**2 + 3*q**4 - 4*q**2.
3*q**2*(q - 1)*(q + 1)
Let o = -593 - -593. Suppose 3/4 + 3/2*b - 3/2*b**3 + o*b**2 - 3/4*b**4 = 0. Calculate b.
-1, 1
Let b(s) be the first derivative of 0*s**2 + 10/9*s**4 - 5/6*s**5 - s - 4/9*s**3 - 2. Let o(y) be the first derivative of b(y). Solve o(c) = 0 for c.
0, 2/5
Let z be (-3 + 2)/(2/(-12)). Let n(j) be the first derivative of 0*j + 0*j**5 + 1/3*j**z + 1 - j**4 + j**2 + 0*j**3. Factor n(s).
2*s*(s - 1)**2*(s + 1)**2
Let c(i) be the second derivative of -5*i**7/84 + 13*i. Factor c(f).
-5*f**5/2
Let r = -3 - -3. Factor 3/2*h + r*h**2 - 1/2*h**3 - 1.
