g*f**4 + 0 + 2/5*f**5 + 0*f = 0?
-1, 0, 1
Solve 6*f - 6*f**2 - 30*f + 4 + 4 + 16*f**2 = 0 for f.
2/5, 2
Let f(p) be the second derivative of -p**6/1080 - p**5/180 + p**3/6 + p. Let y(v) be the second derivative of f(v). Find d such that y(d) = 0.
-2, 0
Let y(p) be the second derivative of -p**7/112 + p**6/40 - 3*p**5/160 + 39*p. Factor y(s).
-3*s**3*(s - 1)**2/8
Let f(x) be the first derivative of -1 + 0*x**2 + 0*x + x**4 + 4/3*x**3. Factor f(p).
4*p**2*(p + 1)
Factor 0 + 5/3*p - 5/3*p**2.
-5*p*(p - 1)/3
Let t(i) be the first derivative of -4*i**3/3 - 8*i**2 - 16*i + 15. Suppose t(z) = 0. What is z?
-2
Factor -3/5*n**2 + 1/5*n**3 + 3/5*n - 1/5.
(n - 1)**3/5
Let s = 513/5 + -1534/15. Factor -2/3 - i + 1/3*i**2 + s*i**4 + i**3.
(i - 1)*(i + 1)**2*(i + 2)/3
Let z(s) be the second derivative of s**4/12 + s**3/6 + 7*s. What is f in z(f) = 0?
-1, 0
Suppose -11*r = -2*r - 45. Suppose 4/5*b**4 + 0 - 1/5*b**r + 2/5*b**2 - b**3 + 0*b = 0. Calculate b.
0, 1, 2
Factor 2/9 - 2/3*p + 4/9*p**3 + 2/9*p**5 - 2/3*p**4 + 4/9*p**2.
2*(p - 1)**4*(p + 1)/9
Let x(n) be the first derivative of 3 + 0*n**2 + 1/9*n**3 + 0*n. Factor x(j).
j**2/3
Factor 5*w - 2*w**3 - 5*w.
-2*w**3
Factor -4 - 18*y**5 + 4 + 17*y**5.
-y**5
Find y such that -2/15*y**3 - 8/15 + 0*y + 2/5*y**2 = 0.
-1, 2
Let l(a) = -17*a**3 + 18*a**2 - 29*a - 5. Let t be (-4)/6*(-30)/5. Let c(i) = 6*i**3 - 6*i**2 + 10*i + 2. Let h(k) = t*l(k) + 11*c(k). Solve h(x) = 0.
1
Let v(d) = -4*d**2 - 4*d + 4. Let g(n) = -4*n**2 - 5*n + 4. Let s(f) = 4*g(f) - 5*v(f). Suppose s(w) = 0. What is w?
-1, 1
Let j(g) = g**3 - 4*g**2. Let q be j(4). Let l = 1 + 1. Factor q*x**2 - 2*x**2 - x + 4*x - l + x.
-2*(x - 1)**2
Suppose -5*p + 44 = -4*i, 3*p + 4 + 2 = -3*i. Let c be (45/(-24))/(i/8). Factor 5/2*m + 1 - c*m**3 - m**2.
-(m - 1)*(m + 1)*(5*m + 2)/2
Let c(q) = 4*q**4 + 17*q**3 + 29*q**2 + 2*q + 4. Let v(k) = 4*k**4 + 18*k**3 + 29*k**2 + 3*k + 3. Let m(w) = -3*c(w) + 4*v(w). Let m(y) = 0. What is y?
-3, -2, -1/4, 0
Let g be (62/(-6))/(2/(-6)). Suppose -5*j - 1 + g = 0. Solve -3*s - j*s**2 - 4 - s**3 + 3*s**2 + 3 = 0.
-1
Let c(p) be the first derivative of p**6/720 - p**5/120 - p**4/16 + p**3/3 + 4. Let l(y) be the third derivative of c(y). Factor l(z).
(z - 3)*(z + 1)/2
Let a(k) be the third derivative of -k**5/390 - 22*k**2. Factor a(f).
-2*f**2/13
Suppose -y + 4*a = 3, -3*y - 5*a = -10 - 32. Let t be (-14)/4 + 36/y. Solve -t*d**2 - 1 - 3/2*d = 0 for d.
-2, -1
Let x(f) be the first derivative of 1/4*f - 1/6*f**3 + 1/24*f**6 - 1/8*f**4 + 1/20*f**5 + 1/8*f**2 + 3. Find w, given that x(w) = 0.
-1, 1
Suppose -o - 3/2*o**2 + 0 + 2*o**3 + 3/2*o**4 - o**5 = 0. What is o?
-1, -1/2, 0, 1, 2
Suppose 0 = 3*o - 6, 3*o = -11*n + 7*n + 18. Solve 0 + 2/3*b**n - 4/3*b**2 + 0*b = 0 for b.
0, 2
Suppose 3*y = 5*y. Factor -2 + y - 3*b + 4*b + b**2.
(b - 1)*(b + 2)
Let t(c) be the third derivative of -c**6/480 + c**5/5 - 8*c**4 + 512*c**3/3 - 7*c**2 - 2. Factor t(v).
-(v - 16)**3/4
Let i(p) be the first derivative of -p**6/1260 + p**4/84 + p**3 - 3. Let x(u) be the third derivative of i(u). Suppose x(k) = 0. What is k?
-1, 1
Let x(q) be the third derivative of 3*q**5/20 + q**4/4 - q**3/2 - q**2. Factor x(u).
3*(u + 1)*(3*u - 1)
Let c(x) be the third derivative of -x**9/15120 + x**8/6720 + x**7/2520 - x**6/720 + x**4/4 - x**2. Let i(b) be the second derivative of c(b). Factor i(m).
-m*(m - 1)**2*(m + 1)
Let m(s) be the second derivative of 0 - s + 0*s**2 + 1/2*s**3 - 3/40*s**5 + 3/8*s**4 - 3/20*s**6 - 1/28*s**7. Determine r, given that m(r) = 0.
-2, -1, 0, 1
Let y(b) = -2*b**4 + b**3 + 6*b**2 + 7*b + 4. Let s(d) = -d**4 + 2*d**3 + 6*d**2 + 8*d + 5. Let v(t) = 4*s(t) - 5*y(t). Factor v(k).
3*k*(k - 1)*(k + 1)*(2*k + 1)
Let d(k) be the second derivative of k**6/90 - k**5/10 + k**3/2 - k. Let a(m) be the second derivative of d(m). Determine x so that a(x) = 0.
0, 3
Suppose -19*f + 57 = 19. Suppose 0*d + d = -w + 7, 5*d - 5 = 0. Factor -6*j + w + 3/2*j**f.
3*(j - 2)**2/2
Let h = 7 + -12. Let z(x) = -x - 2. Let q be z(h). Suppose 3*o**5 + 2 + 4*o**4 - o**4 - q*o**3 - 2 - 3*o**2 = 0. Calculate o.
-1, 0, 1
Factor 8*t**2 + 81*t - 163*t + 78*t.
4*t*(2*t - 1)
Let g(t) be the third derivative of -t**6/40 + 3*t**4/8 + t**3 - 4*t**2 + 3*t. Factor g(c).
-3*(c - 2)*(c + 1)**2
Let u = -28 + 31. Let x(j) be the second derivative of -1/2*j**2 - 1/48*j**4 + 2*j + 1/6*j**u + 0. Factor x(c).
-(c - 2)**2/4
Let d be (-2)/70 + (-3)/(-5). Determine t, given that 2/7*t**3 + 0 - d*t**2 + 2/7*t = 0.
0, 1
What is t in 64/5*t**3 - 48/5*t**2 + 0*t - 12/5*t**5 + 4*t**4 + 0 = 0?
-2, 0, 2/3, 3
Let t = -9 - -19/2. Let h = -63/4 - -33/2. Factor h*u - 1/4*u**2 - t.
-(u - 2)*(u - 1)/4
Let l(k) be the second derivative of 0*k**2 + 0 + 1/30*k**4 - 1/75*k**6 + 1/15*k**3 - 1/50*k**5 - k. Determine m, given that l(m) = 0.
-1, 0, 1
Let f = 59/126 + 2/63. Let o(l) be the first derivative of 0*l + 2/3*l**3 + 0*l**2 + 3 + f*l**4. Factor o(n).
2*n**2*(n + 1)
Let t(c) be the third derivative of c**7/735 - c**6/140 + c**4/21 + 6*c**2. Suppose t(m) = 0. Calculate m.
-1, 0, 2
Let a(h) be the third derivative of -h**7/10080 + h**5/480 - h**4/8 - h**2. Let j(t) be the second derivative of a(t). Suppose j(v) = 0. What is v?
-1, 1
Let m(t) be the third derivative of -t**6/96 - t**5/16 - 5*t**4/32 - 5*t**3/24 - 20*t**2. Factor m(u).
-5*(u + 1)**3/4
Let d be ((-56)/(-20) + -3)/(4/(-10)). Factor 0 + 1/2*g + d*g**2.
g*(g + 1)/2
Find x, given that 192/5*x - 256/5 + 4/5*x**3 + 12*x**2 = 0.
-8, 1
Determine q so that -3/2*q**3 - 3/2*q**4 + 0*q + 3/2*q**5 + 3/2*q**2 + 0 = 0.
-1, 0, 1
Let a(j) be the first derivative of 0*j**3 - 1/8*j**4 + 1 + 1/4*j**2 + 0*j. Factor a(d).
-d*(d - 1)*(d + 1)/2
Let s(j) be the first derivative of 2*j**6/3 - 2*j**4 + 2*j**2 + 18. Factor s(x).
4*x*(x - 1)**2*(x + 1)**2
Let q be (-6 - -1)*(-2)/5. Suppose 0 = o - 2. What is a in -a - o*a**q - a + 0*a**2 = 0?
-1, 0
Let x(f) be the first derivative of 28*f**3/3 + 24*f**2 - 16*f + 1. Solve x(l) = 0.
-2, 2/7
Let t(w) = -5*w**3 + 6*w + 2*w**2 - 3*w**3 + 0*w**3 + 6. Let i(b) = 3 + 5*b + b**2 + 2 - 3*b**3 - 4*b**3. Let j(p) = 6*i(p) - 5*t(p). Factor j(q).
-2*q**2*(q + 2)
Let p(d) = 3*d**5 - 5*d**4 - 15*d**3 + d**2. Let a(n) = -2*n**5 + 3*n**4 + 10*n**3 - n**2. Let i(g) = -8*a(g) - 5*p(g). Let i(c) = 0. What is c?
-3, 0, 1
Let w(i) = -i**3 + i**2 - i + 9. Let a be w(0). Factor -v + a*v**2 - 3*v**3 - 2*v - 3*v**2.
-3*v*(v - 1)**2
Suppose 4*z - 16 = -2*v, 5*v = 3*z + 4 - 3. Factor -2*x + 2*x + x**v.
x**2
Let w(b) be the second derivative of 7*b**6/45 - 11*b**5/30 + b**4/18 + b**3/3 + 3*b + 6. Solve w(c) = 0.
-3/7, 0, 1
Let n(p) = p - 1. Let h be n(8). Factor 1/2*v**5 + 9/2*v - 3*v**4 + h*v**3 - 8*v**2 - 1.
(v - 2)*(v - 1)**4/2
Let o(s) be the second derivative of -2/3*s**2 + 0 + 1/6*s**5 + s - 5/9*s**3 + 1/9*s**4. Find i such that o(i) = 0.
-1, -2/5, 1
Let c = 16 - 14. Factor -16*i + 6*i**2 + 10*i**2 - 6*i**3 + 6*i - c*i**2 + 2.
-2*(i - 1)**2*(3*i - 1)
Let f(j) = -j**3 - j**2 - j + 1. Let d(y) = 5*y**4 - 3*y**3 - 10*y**2 - 7*y + 5. Let a(i) = d(i) - 5*f(i). Suppose a(c) = 0. What is c?
-1, -2/5, 0, 1
Let c(j) be the first derivative of j**7/168 + j**6/30 + j**5/16 + j**4/24 - j + 7. Let d(k) be the first derivative of c(k). What is v in d(v) = 0?
-2, -1, 0
Let s = 1/10 - -1/15. Let a(o) be the second derivative of 0 + 2/3*o**3 - s*o**4 - o**2 - 3*o. Factor a(i).
-2*(i - 1)**2
Let l(d) be the third derivative of 3*d**8/112 - 4*d**7/35 + d**6/10 + 3*d**5/10 - 7*d**4/8 + d**3 + 5*d**2. Find a, given that l(a) = 0.
-1, 2/3, 1
Let v(a) be the second derivative of -a**7/63 + 2*a**6/45 - a**4/9 + a**3/9 - 16*a. Factor v(r).
-2*r*(r - 1)**3*(r + 1)/3
Let m(y) be the first derivative of 2*y**3/21 + 2*y**2/7 - 28. Factor m(u).
2*u*(u + 2)/7
Let q(k) be the first derivative of -k**5/5 + 2*k**3/3 - k + 8. Factor q(h).
-(h - 1)**2*(h + 1)**2
Let y(r) be the third derivative of -27*r**5/4 - 15*r**4/4 - 5*r**3/6 + 49*r**2. What is b in y(b) = 0?
-1/9
Let a be ((-92)/48 + 2)*2. Let c(d) be the first derivative of 3/8*d**2 - 1/8*d**4 + 1/4*d + 2 - 3/20*d**5 + a*d**3 - 1/24*d**6. Let c(l) = 0. What is l?
-1, 1
Factor 1/5*p**3 + 0 + 16/5*p + 8/5*p**2.
p*(p + 4)**2/5
Let m(q) = -q**3 - q**2. Let w(z) = 26*z**3 + 70*z**2 + 48*z - 16. Let l(g) = 10*m(g) + w(g)