he third derivative of 0 + 0*u**n + 2*u**2 + 0*u**5 + 0*u - 1/360*u**6 + 0*u**3. What is y in j(y) = 0?
0
Let y(x) = 6*x**3 + x**2 - 65*x + 26. Let z(q) = -5*q**3 + 65*q - 25. Let v(h) = 5*y(h) + 4*z(h). Factor v(p).
5*(p - 2)*(p + 3)*(2*p - 1)
Solve 2/3 + y + y**3 - 8/3*y**2 = 0.
-1/3, 1, 2
Let g(y) be the third derivative of -y**7/70 - y**6/10 - y**5/4 - y**4/4 + 4*y**2. Determine n so that g(n) = 0.
-2, -1, 0
Solve 1/2*c**4 + 0*c - 1/2*c**2 + 0 + 0*c**3 = 0 for c.
-1, 0, 1
Factor 6/11 + 10/11*t**2 - 14/11*t - 2/11*t**3.
-2*(t - 3)*(t - 1)**2/11
Let j be ((-8)/3)/((-2)/3). Let t be 6/j - 15/10. Suppose 0*x - 2/9*x**3 + t*x**2 + 0 = 0. Calculate x.
0
Let b(c) be the third derivative of c**5/60 + 5*c**4/24 - 2*c**3/3 - c**2. Let n be b(-6). What is l in -2*l**2 + 0*l**3 - 2*l**3 - 2*l**2 - n*l = 0?
-1, 0
Find n, given that 0 + 20/3*n + 5/3*n**5 + 65/3*n**3 - 20*n**2 - 10*n**4 = 0.
0, 1, 2
Let m(t) be the second derivative of -9*t**7/56 + 39*t**6/40 - 87*t**5/40 + 9*t**4/4 - t**3 - 34*t. Determine b, given that m(b) = 0.
0, 2/3, 1, 2
Let g = 662/3 + -220. Solve -g*t**4 - 1/3*t**5 + 2/3*t**2 + 1/3*t + 0 + 0*t**3 = 0 for t.
-1, 0, 1
Let y = -246 + 493/2. Let 0 - 5/6*f**2 - y*f**3 - 1/3*f = 0. Calculate f.
-1, -2/3, 0
Find t such that 0*t + 9/5*t**3 + 0*t**4 + 6/5*t**2 - 3/5*t**5 + 0 = 0.
-1, 0, 2
Let a(u) = 2*u**3 + 10*u. Let h(p) be the second derivative of p**5/10 - p**4/12 + 3*p**3/2 + 2*p. Let i(w) = -5*a(w) + 6*h(w). Factor i(z).
2*z*(z - 2)*(z - 1)
Let l(y) be the first derivative of -y**5/330 + y**3/33 - 3*y**2/2 - 1. Let h(c) be the second derivative of l(c). Let h(m) = 0. What is m?
-1, 1
Let o(b) = 2*b**2 - 10*b - 97. Let v be o(10). Suppose 2/9*w**2 - 2/9*w**4 + 0 + 2/9*w**v - 2/9*w = 0. What is w?
-1, 0, 1
Let u(k) = -k**2 + 4*k + 2. Let q be u(4). Suppose 0 = 5*y - 3*y - 4. Factor -5*i**y - 24*i**q - 4*i**2 + 10*i**3 + i**2 + 8*i + 14*i**4.
2*i*(i - 1)*(i + 2)*(7*i - 2)
Let i be 1 + 1 - 2 - -2. Solve 3*k**2 + 0*k**i + 1 + 5*k + 0 - 2*k + k**3 = 0.
-1
Let a(g) be the second derivative of -g**4/96 - g**3/24 + 3*g**2/16 - 7*g. Factor a(b).
-(b - 1)*(b + 3)/8
Let o(r) be the second derivative of -r**8/4200 + r**7/2100 + r**3/3 - r. Let i(x) be the second derivative of o(x). Factor i(u).
-2*u**3*(u - 1)/5
Let z(u) be the second derivative of 1/4*u**3 + 1/8*u**4 - 1/20*u**6 + 0 - 3/40*u**5 - 4*u + 0*u**2. Solve z(k) = 0.
-1, 0, 1
Suppose -2*l + 4 = -2*m, -4*l + 2*l + 24 = 3*m. Let x be -3*(8/l + -2). Factor f**x + 0*f**2 + 0*f + f.
f*(f + 1)
Let u(f) be the first derivative of -3*f**4/4 + 9*f**2/2 + 6*f - 4. What is r in u(r) = 0?
-1, 2
Let x(s) be the second derivative of 1/6*s**3 + 0 + 0*s**2 - 3*s - 1/20*s**5 - 1/12*s**4 + 1/30*s**6. Solve x(q) = 0 for q.
-1, 0, 1
Let p(n) be the second derivative of 5*n**4/12 + 25*n**3/6 + 28*n. Factor p(z).
5*z*(z + 5)
Suppose -41 = 5*t + 2*s, t + 3*s - 1 = -2*s. Let u be (-1*3)/(t/6). Factor -1/4*h + 0 - 1/4*h**4 + 1/4*h**3 + 1/4*h**u.
-h*(h - 1)**2*(h + 1)/4
Let c = 9/1991 + -655084/9955. Let n = c - -66. Factor n*o**5 + 0*o + 0*o**3 + 0*o**4 + 0 + 0*o**2.
o**5/5
Let w be (-8)/120 + (-10)/(-15). Factor -1/5*p**2 - 3/5*p**4 + 1/5*p**5 + 0*p + 0 + w*p**3.
p**2*(p - 1)**3/5
Let z(t) be the third derivative of -t**8/2016 + t**7/420 + 8*t**2. Determine r, given that z(r) = 0.
0, 3
Let g(b) be the third derivative of -b**6/300 - b**5/25 - b**4/5 - 8*b**3/15 - b**2 + 10. Determine x, given that g(x) = 0.
-2
Let o(g) = g**2 - g + 2. Let d be o(2). What is z in 1/2*z + 0 + 0*z**2 + 0*z**d - z**3 + 1/2*z**5 = 0?
-1, 0, 1
Let u be (4 - 2)*(-5)/(-35). Let d be (-72)/(-105) + (-4)/10. Find x, given that -d*x**2 + 0 - u*x = 0.
-1, 0
Let 0*s**3 + 0*s + 1/8*s**4 + 0 - 1/8*s**2 = 0. Calculate s.
-1, 0, 1
Let u = -13 - -30. Let y(p) = 3*p**2 + 9*p + 6. Let f(v) = 8*v**2 + 26*v + 17. Let m(c) = u*y(c) - 6*f(c). Factor m(d).
3*d*(d - 1)
Let m(d) be the second derivative of d**5/35 + 2*d**4/21 - 8*d**3/21 - 16*d**2/7 - 10*d - 1. Factor m(q).
4*(q - 2)*(q + 2)**2/7
Let j be 24/9 + (1 - 8/12). Factor 10/3*w**2 - 2/3*w**j - 16/3*w + 8/3.
-2*(w - 2)**2*(w - 1)/3
Suppose 0 - 2/21*g - 2/21*g**2 = 0. What is g?
-1, 0
Let v(b) = b**2 + 10*b + 4. Let i be v(-11). Let p be i/(-10)*8/(-10). Suppose -2/5*y**4 - p*y**2 + 2/5*y + 6/5*y**3 + 0 = 0. What is y?
0, 1
Suppose -6*g**3 + 2*g**4 - 88*g + 94*g - 2*g**2 + 0*g**3 = 0. What is g?
-1, 0, 1, 3
Let j(k) = -k**3 + 3*k**2 + 3*k + 4. Let h be j(4). Let i(q) be the first derivative of 4/3*q**3 + q**2 + h*q - 3 + 1/2*q**4. Factor i(z).
2*z*(z + 1)**2
Let p = 2991 - 26869/9. Factor 10/9*o**4 + 0 + 32/9*o**3 - p*o**5 + 8/9*o**2 + 0*o.
-2*o**2*(o - 1)*(5*o + 2)**2/9
Let x(t) = t**3 + 6*t**2 + t + 8. Let p be x(-6). Let z(g) = g. Let l be z(1). Determine b so that -l - 2 - 6*b - b**p - 2*b**2 = 0.
-1
Let p be (-2 - 3) + 1 - 10. Let q = p + 14. Suppose 4/5*b**2 + q + 2/5*b**3 + 0*b = 0. Calculate b.
-2, 0
Let u(p) = p**3 - 12*p**2 - 14*p + 13. Let y be u(13). Suppose -6*i = -y*i. What is s in i*s + 14/9*s**4 + 0 + 4/9*s**3 + 0*s**2 = 0?
-2/7, 0
Factor -17*o**2 + 2*o**3 + 2*o**3 + 15*o**2 - 2*o.
2*o*(o - 1)*(2*o + 1)
Let n(t) = t**2 - 11*t + 4. Let l(p) = -2*p**2 + 20*p - 7. Let w(q) = -4*l(q) - 7*n(q). Let w(d) = 0. Calculate d.
0, 3
Let w(a) be the first derivative of a**8/11760 - a**7/5880 + 4*a**3/3 + 5. Let p(n) be the third derivative of w(n). Let p(r) = 0. Calculate r.
0, 1
Let c(y) = -5*y**3 + y**2 + 4*y**3 + y**3 - y**3. Let l be c(1). Factor n**2 + l*n**3 - n**4 - 1/2*n**5 + 0 + 1/2*n.
-n*(n - 1)*(n + 1)**3/2
Let j = -7 + 10. Let 2*h**2 + 4*h**5 - 4*h**2 - 5*h**5 + h**j + h**4 + h**2 = 0. Calculate h.
-1, 0, 1
Let l + 2 - l**3 + 1 + l**2 - 3*l**2 - 1 = 0. What is l?
-2, -1, 1
Let l(b) = -b**2 - 1. Let w(j) = -3*j**2 - 2*j - 4. Let r be 1*(3 - (-3 - -5)). Let a(v) = r*w(v) - 4*l(v). Factor a(u).
u*(u - 2)
Let x(k) = -k**4 + k**3 + k**2 - k + 1. Let j(q) = 3*q**4 - 7*q**3 - 5*q**2 + 7*q - 2. Let b(o) = 3*j(o) + 12*x(o). Determine f so that b(f) = 0.
-2, -1, 1
Let y be 1/2 - 3/(-2). Let s be (10*14/105)/2. Let -s - 1/3*k + 1/3*k**y = 0. What is k?
-1, 2
Let x(p) be the third derivative of p**7/70 + p**6/60 - p**5/20 - p**4/12 + 24*p**2. Factor x(w).
w*(w - 1)*(w + 1)*(3*w + 2)
Let q(w) be the second derivative of -w**7/105 + w**6/25 - w**5/50 - w**4/10 + 2*w**3/15 - 16*w. Determine a so that q(a) = 0.
-1, 0, 1, 2
Let o = 6 - 5. Suppose -o + w**3 + w - 2*w**3 + 1 + w**2 - 1 = 0. What is w?
-1, 1
Factor -6*t + 7 + 0*t**2 - 4*t**2 + 5*t**2 + 2.
(t - 3)**2
Let u(n) be the first derivative of -n**5/80 + n**3/24 - n - 3. Let t(m) be the first derivative of u(m). Determine d, given that t(d) = 0.
-1, 0, 1
Let t(a) be the third derivative of -a**6/75 + a**5/75 + a**4/15 - 2*a**3/15 + 7*a**2. Factor t(s).
-4*(s - 1)*(s + 1)*(2*s - 1)/5
Let d = -10 - -7. Let p be 8/(-21)*d/2. Factor -2/7 - p*j - 2/7*j**2.
-2*(j + 1)**2/7
Let l(x) be the third derivative of x**7/42 + x**6/8 + x**5/6 + 34*x**2. Find b, given that l(b) = 0.
-2, -1, 0
Let q(j) = -j**2 - 7*j - 5. Let c be q(-4). Suppose -1 = 2*k - c. Factor 8*l**3 + 2*l - 6*l**2 - 4*l**3 - 6*l**k - 6*l.
-2*l*(l + 1)*(l + 2)
Let p = -120 + 120. Let t(x) be the second derivative of p*x**3 + x + 0*x**2 - 1/48*x**4 - 1/80*x**5 + 0. Find o such that t(o) = 0.
-1, 0
Suppose 0 = -3*s + 5*q + 30 - 7, -16 = 4*q. Let g = 105/4 + -26. Let -g*y**2 - s - y = 0. What is y?
-2
Let c(z) be the second derivative of -1/42*z**4 + 1/147*z**7 + 2/21*z**3 - 3/70*z**5 + z + 1/105*z**6 + 0*z**2 + 0. Suppose c(r) = 0. Calculate r.
-2, -1, 0, 1
Let i(m) be the first derivative of 0*m + 1/12*m**3 - 4 + 0*m**2. Solve i(r) = 0 for r.
0
Let h be 30/20*(-908)/10. Let c = h + 137. Factor -2/5*j**2 - c + 6/5*j.
-2*(j - 2)*(j - 1)/5
Let t be ((4 + -4)/2)/1. Let x(w) be the second derivative of -1/12*w**4 - 1/10*w**6 + 0*w**3 - 1/42*w**7 + w - 3/20*w**5 + 0*w**2 + t. What is l in x(l) = 0?
-1, 0
Let b(d) = -d**3 - 9*d**2 - 2*d - 14. Let z be b(-9). Let v(f) be the first derivative of 0*f**3 + 1/10*f**z - 1/5*f**2 + 0*f + 2. Factor v(y).
2*y*(y - 1)*(y + 1)/5
Let i(m) be the first derivative of -2*m**6/3 + 4*m**5 - 10*m**4 + 40*m**3/3 - 10*m**2 + 4*m - 18. Factor i(k).
-4*(k - 1)**5
Suppose 6 = -3*p + p - 3*y, -3*p - 2*y = 4. Let l(w) = -w**3 + w**2 + 2. Let i be l(p). Suppose m**