 - 2*h + 1/70*h**5 + 0. Suppose v(o) = 0. What is o?
-1, 0, 1
Let w(q) be the third derivative of -q**5/45 + q**4/72 + q**3/6 - 8*q**2. Factor w(g).
-(g - 1)*(4*g + 3)/3
Let c(t) be the first derivative of -1/16*t**4 - 1/2*t + 7 + 0*t**3 + 3/8*t**2. Factor c(p).
-(p - 1)**2*(p + 2)/4
Let k(p) = -8*p**5 - 14*p**4 - 11*p**3 + 11*p**2 + 9*p + 8. Let z(w) = -7*w**5 - 13*w**4 - 10*w**3 + 10*w**2 + 9*w + 7. Let r(l) = 4*k(l) - 5*z(l). Factor r(y).
3*(y - 1)*(y + 1)**4
Suppose -11*b + 15*b = a + 9, 3*b - 10 = 4*a. Let 8/3*h + 2/3 + 2*h**b = 0. What is h?
-1, -1/3
What is v in -34*v**3 + 8*v - 3*v**2 - 7*v**2 + 36*v**3 = 0?
0, 1, 4
Let z(s) be the third derivative of 0*s**4 + 1/360*s**6 + 0*s**5 - s**2 + 0 - 1/1008*s**8 + 0*s + 0*s**7 + 0*s**3. Find r, given that z(r) = 0.
-1, 0, 1
Let l(d) be the third derivative of d**6/200 + d**5/50 - d**4/10 - 4*d**3/5 - 14*d**2. Factor l(b).
3*(b - 2)*(b + 2)**2/5
Let h(t) be the third derivative of t**5/30 - 5*t**4/6 + 25*t**3/3 - 41*t**2. Find z, given that h(z) = 0.
5
Let f(a) = -6*a - 10*a**2 - 2*a - 10*a**3 + 6 + 2*a. Let g(j) = 9*j**3 + 11*j**2 + 7*j - 5. Let c(q) = -5*f(q) - 6*g(q). Factor c(i).
-4*i*(i + 1)*(i + 3)
Let i(d) = -11*d**2 + 2*d + 5. Suppose 2*p + 3*o + 1 = -3, -4*o = -p - 13. Let c(x) = -6*x**2 + x + 3. Let u(n) = p*c(n) + 3*i(n). Factor u(r).
-r*(3*r - 1)
Factor 0*g + 8/3*g**2 + 0 + 2/3*g**3.
2*g**2*(g + 4)/3
Let m(p) = 7*p**2 + 3*p - 4. Let j(a) = -a**3 - 6*a**2 - 3*a + 5. Let z(i) = 4*j(i) + 5*m(i). Factor z(v).
-v*(v - 3)*(4*v + 1)
Let j(c) be the second derivative of -c**5/60 + c**4/12 + c**3/2 + 3*c**2 + 7*c. Let x(k) be the first derivative of j(k). Factor x(l).
-(l - 3)*(l + 1)
Let r(s) be the second derivative of s**5/300 - s**4/60 + s**3/30 + s**2 - 8*s. Let n(x) be the first derivative of r(x). Factor n(l).
(l - 1)**2/5
Let n(c) be the first derivative of 25*c**4/16 + 85*c**3/2 + 675*c**2/2 + 250*c + 31. Let n(o) = 0. What is o?
-10, -2/5
Let w be 48/(-26) + (0 - (-4)/2). Factor 8/13*i - w*i**2 - 8/13.
-2*(i - 2)**2/13
Suppose 6 = b + 4. Let m(d) be the third derivative of 0 + 0*d**6 + 1/420*d**7 + 0*d**4 + 0*d + 0*d**3 - d**b + 0*d**5. Determine g so that m(g) = 0.
0
Solve -2/3*u + 0 + u**4 - 1/3*u**2 + 4/3*u**3 = 0.
-1, 0, 2/3
Let k(o) be the first derivative of -o**9/3024 + o**8/840 + o**7/280 - o**6/90 - o**5/30 + o**3/3 - 1. Let j(f) be the third derivative of k(f). Factor j(i).
-i*(i - 2)**2*(i + 1)**2
Let m(s) be the third derivative of -s**6/420 + s**5/105 + s**4/12 + 4*s**3/21 + 3*s**2 - 7. Factor m(g).
-2*(g - 4)*(g + 1)**2/7
Suppose 3*p = 2*p + 3. Let j be (-4)/(3/6 - p). Factor j*m**3 + 0 + 6/5*m**2 - 2/5*m.
2*m*(m + 1)*(4*m - 1)/5
Let n be (1 + (-5)/5)/(-2). Let q(m) be the second derivative of 0*m**2 - 1/36*m**4 - 2*m + 0 + n*m**3 + 1/60*m**5. Suppose q(c) = 0. Calculate c.
0, 1
Let i(x) be the third derivative of x**7/126 + x**6/72 - x**5/18 - 52*x**2 + x. Factor i(d).
5*d**2*(d - 1)*(d + 2)/3
Let g(c) be the second derivative of 2*c**7/21 + 2*c**6/5 - 4*c**4/3 - 14*c. Factor g(k).
4*k**2*(k - 1)*(k + 2)**2
Factor -4*h - 4 - 5*h + 6*h - 9*h - 8*h**2.
-4*(h + 1)*(2*h + 1)
Let a(t) be the first derivative of 1/18*t**4 + 1/9*t**2 - 4/27*t**3 + 0*t + 3. Factor a(y).
2*y*(y - 1)**2/9
Let w = -6 - -4. Let f = 2 - w. Solve 2*g**2 - f + 4 + 2*g**3 = 0.
-1, 0
Suppose 43*i = 36*i + 21. Suppose 5/3*a**i + 8/3*a**2 - 4/3*a + 0 = 0. Calculate a.
-2, 0, 2/5
Let m(s) be the second derivative of 0 - 1/5*s**6 + 4/3*s**4 + 16*s**2 - 4/5*s**5 - s + 32/3*s**3. Suppose m(y) = 0. What is y?
-2, -2/3, 2
Let a(d) = -d**2 - 6*d - 1. Let v be a(-5). Suppose -5*q**4 + q**v - 3*q**5 - 3*q**5 + 2*q**4 + 4*q**3 = 0. Calculate q.
-1, 0, 2/3
Suppose 0 = 2*l - 4 - 2. Find t, given that -2*t + 3*t**3 + 2*t**4 + 0*t + 0*t**4 + 2 + t**l - 2*t**5 - 4*t**2 = 0.
-1, 1
Suppose -2*o = 4*h - 20, -5*o - 3*h + h + 10 = 0. Let r(x) be the third derivative of -1/8*x**4 + 3/40*x**5 - 5*x**2 + 0*x**3 + 0*x + o. Factor r(f).
3*f*(3*f - 2)/2
Let n(t) be the third derivative of t**7/2520 - t**6/360 - t**4/24 - 6*t**2. Let s(k) be the second derivative of n(k). Determine f, given that s(f) = 0.
0, 2
Suppose 13 - 1 = 3*j, 5*f + 4*j - 36 = 0. Factor 1/5*w**f + 3/5*w**2 - 1/5*w - 3/5*w**3 + 0.
w*(w - 1)**3/5
Factor 12/5*m**4 + 0 - 28/5*m**3 + 0*m + 8/5*m**2.
4*m**2*(m - 2)*(3*m - 1)/5
Solve -2/3*i**2 - 2/9*i**4 + 8/9 - 8/9*i**3 + 8/9*i = 0.
-2, -1, 1
Let l be (-4 - (-10 - -4)) + -2. Let n(b) be the third derivative of l + 2*b**2 + 0*b - 1/84*b**4 - 1/105*b**5 + 0*b**3 - 1/420*b**6. Factor n(u).
-2*u*(u + 1)**2/7
Let l(s) = 3*s**2 + s + 4. Let m(u) = 24*u**2 + 9*u + 27. Let z(t) = 23*t**2 + 8*t + 27. Let c(h) = 2*m(h) - 3*z(h). Let i(o) = -4*c(o) - 27*l(o). Factor i(f).
3*f*(f - 1)
Let p(y) be the second derivative of -y**5/50 + 2*y**4/15 - y**3/3 + 2*y**2/5 - 12*y. Let p(n) = 0. What is n?
1, 2
Let m = 8 + -5. Factor -3 + m + 2*d**5 - d**4 + 3*d**4.
2*d**4*(d + 1)
Let i(m) be the first derivative of -m**6/2 + 3*m**4 - 2*m**3 - 9*m**2/2 + 6*m - 9. Find r such that i(r) = 0.
-2, -1, 1
Let k = -45043/187 + 582/17. Let v = k + 207. Solve -v*j**2 + 2/11 - 2/11*j + 2/11*j**4 - 2/11*j**5 + 4/11*j**3 = 0.
-1, 1
Let d(f) be the second derivative of f**6/45 + f**5/15 - f**4/18 - 2*f**3/9 - 6*f. Factor d(x).
2*x*(x - 1)*(x + 1)*(x + 2)/3
Let l(s) = 5*s**3 + 2*s**2 + 4. Let m(c) = -6*c**3 - 3*c**2 - 5. Let f(w) = 5*l(w) + 4*m(w). Factor f(y).
y**2*(y - 2)
Let s be 114/70 + (-2)/10. Factor 2/7*q**3 + s*q + 8/7*q**2 + 4/7.
2*(q + 1)**2*(q + 2)/7
Let v(u) be the second derivative of u**7/315 + u**6/225 - u**5/25 + u**4/45 + u**3/9 - u**2/5 - 24*u. Determine f, given that v(f) = 0.
-3, -1, 1
Let r = -66/17 - -1024/255. Let f(i) be the first derivative of 3 + r*i**3 + 1/5*i**2 + 0*i. Suppose f(g) = 0. What is g?
-1, 0
Suppose 4*k**2 - 2*k - 7*k + k = 0. Calculate k.
0, 2
Let i = -68 + 71. Let f(r) be the third derivative of 2*r**2 + 5/132*r**4 + 0*r + 2/33*r**i + 0 + 1/110*r**5. Factor f(q).
2*(q + 1)*(3*q + 2)/11
Let b(f) be the first derivative of -4*f - 5/2*f**4 - 2/5*f**5 - 7*f**2 - 3 - 6*f**3. Factor b(p).
-2*(p + 1)**3*(p + 2)
Let w(b) be the third derivative of -b**7/350 - 3*b**6/100 - 3*b**5/25 - b**4/5 - 19*b**2. Suppose w(i) = 0. What is i?
-2, 0
Suppose 45 = 5*u + k, 2*u - 9 = u - k. Suppose -y = j - 0 - 7, 3*y - 3*j = -u. Determine z, given that -2/5*z**y - 2/5*z + 0 = 0.
-1, 0
Suppose s = 2*k - 2, 0*s = -4*k + 3*s. Let x(r) be the first derivative of -1/2*r**2 + 1/2*r + 1/6*r**k + 3. Factor x(v).
(v - 1)**2/2
Factor -1/3*z**2 + 2/3*z + 0 - 1/3*z**3.
-z*(z - 1)*(z + 2)/3
Let i(l) be the first derivative of -4 - 8/5*l - 6/5*l**3 + 1/5*l**4 + 12/5*l**2. Factor i(a).
2*(a - 2)**2*(2*a - 1)/5
Let k(b) be the third derivative of b**8/336 - b**7/105 + b**5/30 - b**4/24 + 6*b**2. Factor k(r).
r*(r - 1)**3*(r + 1)
Factor 0*h + 0*h**2 + 0*h**3 - 1/2*h**5 + 0 - h**4.
-h**4*(h + 2)/2
Let l(r) = 8*r**4 + 36*r**3 + 24*r**2 - 14*r - 6. Let a(p) = -8*p**4 - 37*p**3 - 24*p**2 + 15*p + 7. Let n(o) = 6*a(o) + 7*l(o). Find t, given that n(t) = 0.
-2, 0, 1/4
Let i(t) be the first derivative of t**5/5 - 3*t**4/4 - t**3/3 + 3*t**2/2 - 12. Determine w, given that i(w) = 0.
-1, 0, 1, 3
Suppose -5*j + 33 = 13. Solve -j*m - m**2 - 1 - 1 - m**2 = 0.
-1
Suppose -3*s = n + 1, -5*n - s + 11 = -12. Find x, given that 4/5*x**3 + 2/5 - 2/5*x - 2/5*x**n + 2/5*x**4 - 4/5*x**2 = 0.
-1, 1
Let t(h) be the second derivative of -h**6/900 + 2*h**5/75 - 4*h**4/15 + 4*h**3/3 - 4*h. Let b(w) be the second derivative of t(w). Factor b(k).
-2*(k - 4)**2/5
Let q = 61 - 56. Let b(j) be the third derivative of -1/420*j**7 + 0 - 1/672*j**8 + 1/120*j**6 - 3*j**2 - 1/12*j**3 - 1/48*j**4 + 1/60*j**q + 0*j. Factor b(g).
-(g - 1)**2*(g + 1)**3/2
Suppose -y - 38 = 2*g - 16, 3*y + 54 = -2*g. Let t = -29/2 - y. Let -1/2*l**4 - 3/2*l**2 + t*l**3 + 0 + 1/2*l = 0. What is l?
0, 1
Let c(m) be the first derivative of -8*m**3/45 - 4*m**2/15 - 2*m/15 + 6. Factor c(p).
-2*(2*p + 1)**2/15
Factor 6*a**2 + 6/5*a**3 + 0 + 0*a.
6*a**2*(a + 5)/5
Suppose -4*q + 8 = -4. Suppose 0 + 1/2*v**q + 0*v + 1/2*v**2 = 0. Calculate v.
-1, 0
Find c, given that 8/7*c**3 + 2/7*c**5 - 10/7*c - 8/7*c**4 + 4/7 + 4/7*c**2 = 0.
-1, 1, 2
Let i(s) be the second derivative of 0 - 1/6*s**3 + 3*s + 0*s**2 + 1/48*s**