u + 15*u**4 - 9*u**2 = 0. What is u?
-2, -1, 0, 1
Let v(y) be the second derivative of 0*y**3 + 0 - 1/2*y**2 + 2*y + 1/48*y**4. Factor v(a).
(a - 2)*(a + 2)/4
Factor -6*n**2 + 164*n - 164*n + 3 + 3*n**4.
3*(n - 1)**2*(n + 1)**2
Let t(w) be the first derivative of w**3/4 + 3*w**2/4 - 105*w/4 + 218. Factor t(h).
3*(h - 5)*(h + 7)/4
Let q be (-90)/375*15/(-9). Find j, given that 2/5*j**5 + 6/5*j**4 + 0 + 6/5*j**3 + q*j**2 + 0*j = 0.
-1, 0
Let i(q) be the second derivative of 1/12*q**3 - 1/4*q**2 - 7/160*q**5 + 3/32*q**4 + 0 + 1/112*q**7 + 17*q - 1/48*q**6. Suppose i(m) = 0. What is m?
-1, 2/3, 1, 2
Let k(i) be the third derivative of i**9/1512 - i**8/210 + i**7/105 + i**3/6 + 2*i**2. Let h(x) be the first derivative of k(x). Factor h(m).
2*m**3*(m - 2)**2
Let k be (-2529)/(-1890) - (0 + 0 + 1). Let j = k + -6/35. Factor 1/6 + d**2 + j*d**4 - 2/3*d**3 - 2/3*d.
(d - 1)**4/6
Let r(z) be the first derivative of 1 - 3*z + 0*z**4 + 0*z**2 - 1/100*z**5 + 0*z**3. Let j(y) be the first derivative of r(y). Factor j(v).
-v**3/5
Suppose -2*w = -y + 15, -y = -0*w - 4*w - 33. Let v be 10 + w/((-27)/(-12)). Factor -3*s**2 - v*s**2 + 16*s**2 - 2*s**2.
5*s**2
Let y(p) be the second derivative of p**7/1575 - p**6/900 - p**5/450 + p**4/180 + 5*p**2 + 7*p. Let f(h) be the first derivative of y(h). Factor f(z).
2*z*(z - 1)**2*(z + 1)/15
Let c be (-20)/35 + (-3)/7. Let p be 4 - c - (-2)/(-1). Factor -3*u**p - 6*u**5 + 4*u**3 + 2*u**3 + 3*u**5.
-3*u**3*(u - 1)*(u + 1)
Suppose 5*r = 2500*c - 2503*c + 51, 26 = 4*c + 2*r. Suppose 0 - 3/4*a**3 + 9/4*a**4 - 3/2*a**c + 0*a = 0. Calculate a.
-2/3, 0, 1
Let a(d) be the first derivative of -5*d**6/6 - 4*d**5 - 5*d**4/4 + 50*d**3/3 + 10*d**2 - 40*d - 82. Suppose a(c) = 0. What is c?
-2, 1
Let w be 2/10*-2 + -4*30/(-175). Find u, given that -w - 4/7*u - 2/7*u**2 = 0.
-1
Factor -240*p + 109 + 3*p**3 - 3*p**2 + 4*p**3 + 54*p**2 - 10*p**3 + 83.
-3*(p - 8)**2*(p - 1)
Let x(a) = 19*a**3 - 21*a**2 - 12*a + 72. Let o(q) = -8*q**3 + 10*q**2 + 6*q - 36. Let j(z) = -5*o(z) - 2*x(z). Factor j(g).
2*(g - 3)**2*(g + 2)
Let a(f) be the first derivative of 0*f - 3/2*f**2 + 9/8*f**4 + 20 + 5/2*f**3. Factor a(p).
3*p*(p + 2)*(3*p - 1)/2
Let 104/11*g - 32/11*g**2 - 96/11 + 2/11*g**3 = 0. What is g?
2, 12
Suppose -3*y + 13 = f, -3*f - 3*y + 29 = 2*f. Determine r so that 7*r**3 - 15*r**3 + 18*r**4 - 20*r**5 + 11*r**4 + 15*r**f = 0.
0, 1/5, 2
Let s = -15 + 27. Factor 89*k**2 + 12*k**4 + 1 - 5 + s*k - 97*k**2 - 8*k**3 - 4*k**5.
-4*(k - 1)**4*(k + 1)
Suppose 5*f - 6 = -1. Let j be (-1)/(1/(-2))*f. Solve 6*t - 1 + 11 - 7 + 3*t**j = 0 for t.
-1
Suppose 17*o = 12*o + 10. Factor 2*f**3 - 4*f**3 - 2*f + 0*f + 3*f**2 - 7*f**o.
-2*f*(f + 1)**2
Let q be ((-8)/(-60))/((-247)/(-10)). Let u = 5884/8151 + q. What is m in u - 24/11*m + 26/11*m**2 - 12/11*m**3 + 2/11*m**4 = 0?
1, 2
Let w = -3169 - -15849/5. Factor -8/5*o**3 + 24/5*o**2 + w - 18/5*o.
-2*(o - 2)*(2*o - 1)**2/5
Find z such that 55/3*z**3 + 4/3*z + 28/3*z**2 + 7*z**4 + 0 = 0.
-2, -1/3, -2/7, 0
Find h, given that 2/9*h**4 - 10/9*h - 4/9 + 2/9*h**3 - 2/3*h**2 = 0.
-1, 2
Let j = -294206/7 - -42030. Factor -8/7 + 2*u**2 - j*u**3 - 8/7*u.
-2*(u - 2)**2*(2*u + 1)/7
Let j(p) be the first derivative of p**6/240 + p**5/30 + p**4/16 + 23*p**2/2 + 13. Let h(u) be the second derivative of j(u). Factor h(i).
i*(i + 1)*(i + 3)/2
Let j(y) be the third derivative of 0*y + 0 + 13*y**2 + 1/156*y**4 + 1/260*y**6 - 1/130*y**5 - 1/1365*y**7 + 0*y**3. Determine r so that j(r) = 0.
0, 1
Suppose 118 = 227*o - 59*o - 218. Solve -1/6*k**o - 1/6 + 1/3*k = 0 for k.
1
Suppose -5*s + 12 + 8 = 0. Let b(a) be the third derivative of -1/20*a**5 - 3*a**2 + 0*a**3 - 3/8*a**s + 0 + 0*a. Determine k, given that b(k) = 0.
-3, 0
Factor -23/3 - 1/6*g**2 - 47/6*g.
-(g + 1)*(g + 46)/6
Suppose -2888/9 + 3040/9*p - 154/9*p**2 + 2/9*p**3 = 0. What is p?
1, 38
Let r(b) be the second derivative of 2/15*b**6 + 0*b**3 + 0*b**2 + 0 + 1/2*b**5 - 26*b + 1/3*b**4. Solve r(m) = 0 for m.
-2, -1/2, 0
Let k(m) be the third derivative of m**8/26880 - m**7/1260 + m**6/180 + m**4/12 + 25*m**2. Let v(p) be the second derivative of k(p). Factor v(j).
j*(j - 4)**2/4
Let u be 7/(-1 + -13) - (-18)/4. Let t be (-6 - -6)/(-3 - (4 - u)). Solve t + 4/7*w**2 + 4/7*w = 0 for w.
-1, 0
Let c(o) = 10*o**2 - 11*o + 1. Let n(m) = 9*m**2 - 9*m. Let r(v) = -6*c(v) + 7*n(v). Solve r(f) = 0.
-2, 1
Let n(u) be the third derivative of u**9/27216 + u**8/7560 - u**7/7560 - u**6/1620 + 5*u**3/3 - 8*u**2. Let j(q) be the first derivative of n(q). Factor j(c).
c**2*(c - 1)*(c + 1)*(c + 2)/9
Let w(p) be the first derivative of 7*p**6/15 - 19*p**5/10 + 4*p**4/3 + 4*p**3/3 - 28*p + 9. Let d(y) be the first derivative of w(y). Factor d(x).
2*x*(x - 2)*(x - 1)*(7*x + 2)
Let s(m) be the third derivative of 1/28*m**5 + 0 + 2/7*m**4 - 5/56*m**6 - 56*m**2 + 2/7*m**3 + 0*m. Determine k, given that s(k) = 0.
-2/5, 1
Let s(n) = n**3 - n**2 - 4*n - 1. Let w(p) = -10*p**3 + 22*p**2 + 46*p + 11. Let b(l) = -3*s(l) - w(l). Factor b(u).
(u - 4)*(u + 1)*(7*u + 2)
Let y(h) be the first derivative of h**3/6 + 101*h**2/2 + 10201*h/2 + 491. Factor y(v).
(v + 101)**2/2
Let s(w) = w**3 - 15*w**2 + 15*w - 11. Let i be s(14). Solve 36*a - 3*a + 27*a + 4*a**i - 36*a**2 + 100 = 0.
-1, 5
Let o = -16 + 16. Suppose o*t - 24 = -6*t. Determine x so that -4 - 5*x**4 + 4*x**t + 1 + 6*x**2 - 2*x**4 = 0.
-1, 1
Let d = 52/3 + -205/12. Let r(y) be the first derivative of 1/3*y**3 - y - 1/2*y**2 - 2 + d*y**4. Find c, given that r(c) = 0.
-1, 1
Let y(i) = -2*i**2 - 10*i + 14. Let j(d) = d**3 - 8*d**2 - 23*d + 24. Let o be j(10). Let k be y(o). Factor -2/15*m**k + 0*m + 2/15.
-2*(m - 1)*(m + 1)/15
Let v = 64 + -68. Let m(x) = 24*x**3 + 48*x**2 + 30*x. Let d(r) = 24*r**3 + 47*r**2 + 30*r - 1. Let g(b) = v*m(b) + 3*d(b). Factor g(j).
-3*(j + 1)**2*(8*j + 1)
Let f = 33 + -28. Factor -2*w**f + 3*w**2 + 4*w**3 + 23*w - 2 - 2*w**4 + 5*w**2 - 4*w**2 - 25*w.
-2*(w - 1)**2*(w + 1)**3
What is n in 10/3*n**5 + 70/3*n + 64/3*n**4 + 48*n**3 + 4 + 148/3*n**2 = 0?
-3, -1, -2/5
Let l(w) be the third derivative of -w**6/60 + 13*w**5/30 - 10*w**4/3 + 12*w**3 - 9*w**2. Factor l(z).
-2*(z - 9)*(z - 2)**2
Let i(k) be the second derivative of -k**7/21 - k**6/15 + k**5/10 + k**4/6 - 2*k - 7. Factor i(y).
-2*y**2*(y - 1)*(y + 1)**2
Let v(b) be the first derivative of -3*b**6 - 462*b**5/5 - 151*b**4/2 - 50*b**3/3 + 192. Let v(h) = 0. Calculate h.
-25, -1/3, 0
Let d = -594 + 597. Let x(i) be the third derivative of 0 - 1/105*i**5 - 1/210*i**6 + 8/21*i**d + 0*i - 2*i**2 + 2/21*i**4. Find l, given that x(l) = 0.
-2, -1, 2
Factor 4/15*o + 14/15*o**2 + 2/3*o**4 + 2/15*o**5 + 6/5*o**3 + 0.
2*o*(o + 1)**3*(o + 2)/15
Let u be (-5)/(-2)*(3 - -3). Let j = -10 + u. Suppose 2*i + 4*i**2 - 2*i**3 - i**2 + 4 - 2*i**2 - j*i**2 = 0. Calculate i.
-2, -1, 1
Factor 80/7*z - 4/7*z**3 + 96/7 + 8/7*z**2.
-4*(z - 6)*(z + 2)**2/7
Let l be (3/(-354))/((-4)/(-48)). Let x = l - -71/118. Suppose -1/2 + 0*q + x*q**2 = 0. What is q?
-1, 1
Suppose -6*d + 2*d = 22*d. Let y(z) be the second derivative of 0*z**2 + 1/105*z**6 + z + d*z**3 + 0*z**5 + 0 - 1/42*z**4. Factor y(o).
2*o**2*(o - 1)*(o + 1)/7
Let n be (-1 - (-26)/24)*-9*14/(-63). Factor -1/6*m**2 - n*m**3 + 1/3*m + 0.
-m*(m - 1)*(m + 2)/6
Let w(f) be the first derivative of -f**6/33 + 4*f**5/11 - f**4 + 8*f**3/33 + 23*f**2/11 - 28*f/11 - 167. Let w(r) = 0. Calculate r.
-1, 1, 2, 7
Suppose -17*n = -5*n - 36. Suppose 2*w - p - 12 = -n*w, 2*w - p - 6 = 0. Solve 4/5 + 6/5*q - w*q**2 = 0 for q.
-2/5, 1
Let y(g) be the third derivative of g**5/4 + 3*g**4/8 - 4*g**3 + 11*g**2. Let z(m) = m**2 + m - 1. Let u(h) = -y(h) + 18*z(h). Factor u(v).
3*(v + 1)*(v + 2)
Let z be (-58)/(-18) + 2/(18/(-27)). Factor z*f**3 + 1/9*f**4 - 1/9*f**5 + 1/9 - 1/9*f - 2/9*f**2.
-(f - 1)**3*(f + 1)**2/9
Let r(m) be the second derivative of m**7/70 - m**6/10 + 3*m**5/20 - 19*m**2/2 + 21*m. Let t(n) be the first derivative of r(n). Solve t(z) = 0.
0, 1, 3
Let n(i) be the first derivative of -i**3/7 - 3*i**2/7 + 9*i/7 - 29. Factor n(u).
-3*(u - 1)*(u + 3)/7
Suppose -14/3*w**2 - 8 + 50/3*w = 0. Calculate w.
4/7, 3
Let f(b) be the third derivative of 0*b**7 + 0 - 9*b**2 - 1/84*b**4 + 0*b**5 + 0*b**3 + 0*b + 1/210*b**6 - 1/1176*b**8. Let f(k) = 0. What is k?
-