w(o).
(o + 1)**2*(o + 2)/6
Let v(q) be the third derivative of q**7/70 - q**5/10 + q**3/2 + 19*q**2. Determine d so that v(d) = 0.
-1, 1
Find o, given that -o + 43*o**3 + 43*o**2 + 13*o**2 + 55*o**3 + 9*o = 0.
-2/7, 0
Let y(t) be the second derivative of 1/24*t**4 - 2*t - 1/2*t**3 + 9/4*t**2 + 0. Factor y(d).
(d - 3)**2/2
Find y such that 0*y**2 - 6/19*y - 4/19 + 2/19*y**3 = 0.
-1, 2
Let v be (9/18)/((-1)/2). Let i be 42/(-70) - (v - 0). Factor -i - 4/5*g - 2/5*g**2.
-2*(g + 1)**2/5
Let i(f) be the first derivative of f**3/5 + 46. Factor i(p).
3*p**2/5
Let x(z) be the third derivative of -z**6/30 + 4*z**5/15 + 2*z**2. Suppose x(d) = 0. Calculate d.
0, 4
Let n(p) = -p**3 - 14*p**2 + 15*p - 5. Let b be n(-15). Let g = -5 - b. Let g - 2/9*h**5 + 2/9*h**4 - 2/9*h**2 + 2/9*h**3 + 0*h = 0. Calculate h.
-1, 0, 1
Let p(u) = -u**3 - 3*u**2 - u + 1. Let n be p(-3). Factor -1/2*b**3 + 0*b - 1/4*b**2 - 1/4*b**n + 0.
-b**2*(b + 1)**2/4
Let j(p) be the first derivative of p**6/18 + p**5/15 - p**4/6 - 2*p**3/9 + p**2/6 + p/3 + 27. Let j(b) = 0. Calculate b.
-1, 1
Let t(d) be the third derivative of -d**8/1008 - d**7/630 + d**6/360 + d**5/180 + d**2. Factor t(b).
-b**2*(b - 1)*(b + 1)**2/3
Factor -7/4*r**4 - 1 - 19/4*r**3 - 1/4*r**5 - 4*r - 25/4*r**2.
-(r + 1)**3*(r + 2)**2/4
Suppose -119 = -10*k - 7*k. Let u(h) be the third derivative of 0 - 1/18*h**3 - 1/180*h**6 + 1/36*h**4 + 0*h + 0*h**5 - 2*h**2 + 1/630*h**k. Factor u(y).
(y - 1)**3*(y + 1)/3
Let d(b) = 2*b**4 - 4*b**3 - 8*b**2 - 2*b. Let m(v) = -5*v**4 + 8*v**3 + 17*v**2 + 4*v. Let p(l) = -7*d(l) - 3*m(l). Find h, given that p(h) = 0.
-2, -1, 0
Let l be 200/(-9) - 18/(-81). Let m be (9/(-36))/(l/16). Factor -2/11 - m*b**2 - 4/11*b.
-2*(b + 1)**2/11
Let m be 4/(-12 + 4) + (-19)/(-14). Determine g, given that -2*g**3 - m*g**4 + 0 - 10/7*g**2 - 2/7*g = 0.
-1, -1/3, 0
Let o(h) be the third derivative of -h**6/160 + 3*h**5/80 - 3*h**4/32 + h**3/8 - 10*h**2. Factor o(m).
-3*(m - 1)**3/4
Let l(f) be the second derivative of f**6/33 - f**5/55 + 7*f. Solve l(o) = 0 for o.
0, 2/5
Let y(w) be the first derivative of 1/4*w**5 + 5/8*w**4 + 1/24*w**6 + 1/4*w + 5/8*w**2 + 5/6*w**3 - 7. Find n, given that y(n) = 0.
-1
Suppose k + k = 16. Let v = 12 - k. Factor -10*w**3 + 0*w**3 + 8*w**3 - 2*w**v.
-2*w**3*(w + 1)
Let p(i) be the second derivative of -2*i**6/15 - 3*i**5/10 + i**4/16 + 7*i**3/12 + 3*i**2/8 - 35*i. Determine w so that p(w) = 0.
-1, -1/4, 3/4
Let h be 0/(4/(-4) - 0). Suppose h = y - 4*y. Factor 0*x + y - 1/3*x**2 - 1/3*x**3.
-x**2*(x + 1)/3
Let l(w) be the second derivative of w**10/90720 - w**8/10080 + w**6/2160 - w**4/3 + 2*w. Let p(o) be the third derivative of l(o). Factor p(a).
a*(a - 1)**2*(a + 1)**2/3
Let s = -111/5 - -23. Factor -s*a - 2/5*a**2 - 2/5.
-2*(a + 1)**2/5
Suppose 4 = -g - 3*i, -2*g + 3*i = 3*g - 16. What is t in -3*t + 8 - 6*t + g*t**2 + 4*t - 3*t = 0?
2
Let o be 1 + 1 + -3 - (-5 + 2). Let h(m) be the second derivative of m + 2/9*m**3 + 0 + 1/18*m**4 + 1/3*m**o. Determine w, given that h(w) = 0.
-1
Let q(j) be the first derivative of -2*j**5/5 + j**4 + 2*j**3 - 8*j**2 + 8*j - 3. Factor q(c).
-2*(c - 2)*(c - 1)**2*(c + 2)
Suppose t + t - 12 = 0. Factor t - v**2 - 5 - 4*v + 1 + 3*v.
-(v - 1)*(v + 2)
Let u be (0 - 1) + 275/35. Let w(z) be the first derivative of u*z**3 + 64/7*z**2 + 32/7*z + 16/7*z**4 + 2/7*z**5 + 2. Factor w(r).
2*(r + 2)**3*(5*r + 2)/7
Let d(b) be the third derivative of 1/60*b**4 + 0*b + 0 + 0*b**3 + 1/150*b**5 + 4*b**2. Factor d(o).
2*o*(o + 1)/5
Let a be ((-87)/108 - -2) + 3. Let g = 40/9 - a. Factor -g*w + 1/4*w**2 + 0 + 1/2*w**3.
w*(w + 1)*(2*w - 1)/4
Let n(r) be the first derivative of 0*r + 1/6*r**3 - 1/16*r**4 + 1 - 1/8*r**2. Factor n(k).
-k*(k - 1)**2/4
Let w(i) be the second derivative of i**6/15 + i**5/2 + 4*i**4/3 + 4*i**3/3 + 7*i - 4. Determine z, given that w(z) = 0.
-2, -1, 0
Let q(x) be the first derivative of 0*x**4 + 1/4*x - 1 + 0*x**2 - 1/6*x**3 + 1/20*x**5. Determine v so that q(v) = 0.
-1, 1
Let u(m) be the second derivative of m**6/1080 - m**5/360 - m**4/36 + 5*m**3/3 + 3*m. Let q(g) be the second derivative of u(g). Factor q(r).
(r - 2)*(r + 1)/3
Let q be ((-6)/20 - 0)*(-5)/2. Factor -q*a**2 - 1/2 - 5/4*a.
-(a + 1)*(3*a + 2)/4
Suppose 2*z - 3 = 9. Suppose -z*h = -h. Factor h*b**2 + 2*b + 4*b**2 + 1 + 2*b.
(2*b + 1)**2
Let p(r) be the first derivative of r**4 + 20*r**3/3 + 8*r**2 + 9. Factor p(a).
4*a*(a + 1)*(a + 4)
Let z be ((-11)/(-8) - 1)/((-9)/(-2)). Let i(a) be the second derivative of 0*a**2 + 0 - 1/24*a**4 + z*a**3 + 2*a. What is s in i(s) = 0?
0, 1
Suppose -155 = -8*f - 139. Factor -8/9*r**f - 10/9*r - 4/9 - 2/9*r**3.
-2*(r + 1)**2*(r + 2)/9
Factor -b**2 - 3/2*b**3 + 0 + 0*b.
-b**2*(3*b + 2)/2
Let l = 57/11 - 5. Factor 0*u**4 + 4/11*u**3 - l*u + 0*u**2 + 0 - 2/11*u**5.
-2*u*(u - 1)**2*(u + 1)**2/11
Let j(y) = -3*y**2 - 47*y - 2. Let x(c) = c + 1. Let i(k) = -j(k) - 2*x(k). Factor i(a).
3*a*(a + 15)
Let s(u) = u**3 + 8*u**2 + 5*u + 2. Let o(n) = -n**2. Let g(j) = 4*o(j) + s(j). Suppose g(d) = 0. Calculate d.
-2, -1
Let f(a) be the second derivative of -a**4/84 - 5*a. Find b, given that f(b) = 0.
0
Let d be (-55)/(-220)*(-1 - -1)/1. Factor d - 1/5*i**3 + 0*i - 1/5*i**5 + 2/5*i**4 + 0*i**2.
-i**3*(i - 1)**2/5
Let u = 67 - 67. Let b(w) be the second derivative of 2/25*w**5 + 1/30*w**4 + u*w**2 + 0*w**3 - 1/75*w**6 - 4/105*w**7 + 0 + w. Solve b(p) = 0.
-1, -1/4, 0, 1
Let a(r) be the second derivative of -r**7/98 + 2*r**6/35 - 3*r**5/28 + r**4/14 - 21*r. Factor a(n).
-3*n**2*(n - 2)*(n - 1)**2/7
Factor -1/6*o**3 + 0 + 0*o - 1/3*o**2.
-o**2*(o + 2)/6
Let r be (-3)/(-11 + 2)*0/(-2). Let q**3 + r*q**4 - 1/2*q - 1/2*q**5 + 0*q**2 + 0 = 0. Calculate q.
-1, 0, 1
Let j(n) be the first derivative of 3*n**7/70 + n**6/40 - 3*n**5/20 - n**4/8 - n**2 - 3. Let p(s) be the second derivative of j(s). Factor p(v).
3*v*(v - 1)*(v + 1)*(3*v + 1)
Suppose -2*o - 2 = -2*a - 4, -4*o + a = -7. Suppose -9*r**4 + 11*r**4 + 0*r**4 - 2*r**o = 0. What is r?
-1, 0, 1
Let r = -338 + 340. Let 2/7*j**r + 18/7 + 12/7*j = 0. What is j?
-3
Let i = 3 + 2. Let z(x) be the third derivative of 1/120*x**i + 1/48*x**4 + 0*x + 0*x**3 + 0 + 2*x**2. Determine c so that z(c) = 0.
-1, 0
Let c(a) be the first derivative of 1/3*a**4 + 2/3*a + 1/9*a**6 - a**2 + 3 + 4/9*a**3 - 2/5*a**5. Suppose c(i) = 0. Calculate i.
-1, 1
Let r(h) be the third derivative of -h**8/30240 + h**6/3240 + h**4/24 - h**2. Let c(m) be the second derivative of r(m). Factor c(y).
-2*y*(y - 1)*(y + 1)/9
Suppose -5*t + 0*t - 11 = -3*w, 0 = 4*w - 5*t - 13. Suppose 15/2*y**w + 19/2*y**3 - 1 + 1/2*y + 7/2*y**4 = 0. Calculate y.
-1, 2/7
Suppose 0*l + 0 + 2/9*l**4 - 4/9*l**3 + 2/9*l**2 = 0. Calculate l.
0, 1
Let w = 0 + 3. Let t = -3 + 5. Factor -4*p + p**t + 8*p - w*p**2.
-2*p*(p - 2)
Let b(k) = -7*k**2 + 60*k - 178. Let g(f) = -8*f**2 + 60*f - 177. Let d(z) = 3*b(z) - 2*g(z). Let d(s) = 0. Calculate s.
6
Let j(a) = 4*a**3 - 6*a**2. Let y(k) = -3*k**3 + 5*k**2. Suppose 0 = 3*n + 3*z - 15, -4*n + z = -6*n + 10. Let f(v) = n*y(v) + 4*j(v). Let f(i) = 0. What is i?
-1, 0
Let l(x) be the first derivative of -2*x**3/3 + 2*x + 17. Factor l(p).
-2*(p - 1)*(p + 1)
Let c(x) be the second derivative of x**8/448 - x**7/70 + 3*x**6/80 - x**5/20 + x**4/32 - 2*x**2 + x. Let d(r) be the first derivative of c(r). Factor d(s).
3*s*(s - 1)**4/4
Let s(a) be the third derivative of -a**6/160 - 3*a**5/80 - 3*a**4/32 - a**3/8 - a**2. Factor s(o).
-3*(o + 1)**3/4
Let z be 0/((-6)/24*-4). Factor z*n + 2/5*n**2 - 2/5*n**3 + 0.
-2*n**2*(n - 1)/5
Let f(i) be the third derivative of i**5/20 + 5*i**4/4 - 25*i**2. Factor f(j).
3*j*(j + 10)
Let d(t) be the second derivative of -t**4/12 + 7*t**3/6 - 3*t**2 - 36*t. Solve d(a) = 0 for a.
1, 6
Let h(p) = p**2 - 5*p - 5. Let v(o) = o**2 - 11*o - 11. Let q = 10 - 15. Let j(d) = q*h(d) + 3*v(d). Find u, given that j(u) = 0.
-2
Let t(a) be the first derivative of -a**3/2 - 15*a**2/2 - 75*a/2 + 9. Let t(p) = 0. What is p?
-5
Let b(j) be the second derivative of j**4/48 + j**3/24 - j**2/4 - 4*j. Find f, given that b(f) = 0.
-2, 1
Let t(p) be the third derivative of -p**6/156 + 11*p**5/390 - p**4/78 - 48*p**2. What is s in t(s) = 0?
0, 1/5, 2
Suppose 18*y**4 - 20*y**2 + 25*y**5 + 5*y - 30*y**3 - 6*y**4 + 8*y**4 = 