 o = d + 5. Solve 1/3*l**2 + 1/3*l**5 + l**o + 0*l + l**4 + 0 = 0 for l.
-1, 0
Let c(a) be the third derivative of -a**8/10080 - a**7/5040 + a**6/2160 + a**5/720 + a**3/3 - 4*a**2. Let b(i) be the first derivative of c(i). Factor b(o).
-o*(o - 1)*(o + 1)**2/6
Let r(v) = -23*v**2 + 18*v + 5. Suppose 2*g - 15 = -7. Let w = -6 + 15. Let b(s) = 11*s**2 - 9*s - 2. Let i(n) = g*r(n) + w*b(n). Let i(z) = 0. Calculate z.
2/7, 1
Let o = -12 - -5. Let i = o + 7. Factor 4*c - 4*c + 8*c + i + 2*c**2 + 8.
2*(c + 2)**2
Find p such that -36/7*p + 16/7 - 10/7*p**2 = 0.
-4, 2/5
Let o(k) be the first derivative of k**7/84 + k**6/30 + k**5/40 - 2*k + 1. Let u(z) be the first derivative of o(z). Solve u(n) = 0 for n.
-1, 0
Let m(v) be the third derivative of -v**6/900 - v**5/75 - v**4/20 - 4*v**3/45 - 16*v**2. Factor m(t).
-2*(t + 1)**2*(t + 4)/15
Let n(z) = -6*z + 45. Let d be n(7). Let w be (3 - 2)*0/1. Solve -2/5*f**5 - 6/5*f**d - 6/5*f**4 + 0 - 2/5*f**2 + w*f = 0 for f.
-1, 0
Let x(k) = -k**2 - 12*k + 13. Let g be x(1). Determine w so that -3*w**4 + 0*w**2 - 21/2*w**5 + g + 0*w + 0*w**3 = 0.
-2/7, 0
Let c(m) be the first derivative of 2 + 0*m**2 + 1/3*m**3 - m. Factor c(u).
(u - 1)*(u + 1)
Let w(s) be the third derivative of -s**8/336 - 7*s**7/120 - 13*s**6/40 - 3*s**5/20 - 39*s**2. Factor w(u).
-u**2*(u + 6)**2*(4*u + 1)/4
Let i(q) be the second derivative of q**6/15 - q**5/30 - q**4/3 + q**3/3 - 3*q**2/2 - q. Let l(n) be the first derivative of i(n). Determine o so that l(o) = 0.
-1, 1/4, 1
Let z(p) = -p**2 - 8*p - 9. Let t be z(-6). Suppose 9 = t*u - 3. Factor -k**2 - k**4 - k**u + 3*k**4.
k**2*(k - 1)*(k + 1)
Let i(d) be the third derivative of -d**7/280 + d**6/160 + 3*d**5/80 - 5*d**4/32 + d**3/4 - 23*d**2. Suppose i(r) = 0. Calculate r.
-2, 1
Let w(u) be the third derivative of 2*u**2 + 1/120*u**6 + 0 + 0*u**4 + 0*u + 0*u**7 + 0*u**5 - 1/336*u**8 + 0*u**3. Factor w(i).
-i**3*(i - 1)*(i + 1)
Let r(v) be the third derivative of -v**7/840 - v**6/360 - v**3/6 - 2*v**2. Let z(m) be the first derivative of r(m). Find g, given that z(g) = 0.
-1, 0
Let a = -4205/4 - -883051/840. Let l(b) be the third derivative of b**2 + 0*b**4 + a*b**7 - 1/120*b**5 + 0*b**6 + 0*b + 1/24*b**3 + 0. Factor l(w).
(w - 1)**2*(w + 1)**2/4
Let c(f) be the second derivative of f**7/420 + f**6/36 + 2*f**5/15 + f**4/3 + f**3/2 + 2*f. Let t(m) be the second derivative of c(m). Factor t(o).
2*(o + 1)*(o + 2)**2
Let g(n) be the third derivative of n**8/840 + n**7/1260 - n**6/270 - n**3/3 - 3*n**2. Let r(w) be the first derivative of g(w). Suppose r(p) = 0. What is p?
-1, 0, 2/3
Let d(q) be the first derivative of -2*q**5/15 + 4*q**3/9 - 2*q/3 + 26. Factor d(g).
-2*(g - 1)**2*(g + 1)**2/3
Let o be (0 + 2)*(-18)/4. Let c = 14 + o. Factor 2*b**3 - b**c + 2*b**3 - 2*b**3 - b**3.
-b**3*(b - 1)*(b + 1)
Let r be -8 + 26 - (-1 - -3). Let f be 4 + -1 + (-40)/r. Solve f*d**2 + 0*d**3 + 0 + 0*d - 1/2*d**4 = 0 for d.
-1, 0, 1
Determine n, given that -41 + 19 - 5*n - 5*n**2 + 22 = 0.
-1, 0
Let y(n) be the second derivative of n**7/525 - n**6/75 + n**5/50 + n**4/15 - 4*n**3/15 - n**2/2 - 3*n. Let w(k) be the first derivative of y(k). Factor w(t).
2*(t - 2)**2*(t - 1)*(t + 1)/5
Let r be ((-8)/(-5))/(3/15). Suppose f = 5*f - r. Factor -f*d + 8*d**2 - 3*d**2 + 2*d**2.
d*(7*d - 2)
Let z(q) be the first derivative of q**6/180 - q**5/30 + q**4/12 + 2*q**3/3 + 4. Let x(d) be the third derivative of z(d). Factor x(r).
2*(r - 1)**2
Let d(f) be the first derivative of -1/15*f**6 + 3 - 8/25*f**5 - 16/5*f - 1/10*f**4 + 4/5*f**2 + 4/3*f**3. Factor d(p).
-2*(p - 1)**2*(p + 2)**3/5
Let i(x) be the third derivative of -1/40*x**6 + 0*x + 9/140*x**5 + 0 + 0*x**3 - 4*x**2 - 1/28*x**4. Let i(t) = 0. Calculate t.
0, 2/7, 1
Suppose 7*w = w + 258. Let o = -41 + w. Determine x, given that -4/3*x + 0 + 10/3*x**3 - 2*x**o = 0.
-2/5, 0, 1
Let y(k) = -k**3 - 5*k**2 + 4. Let l be y(-5). Let n(o) = -o**2 - 7*o + 4. Let d(i) = i**2 + 6*i - 3. Let a(h) = l*n(h) + 5*d(h). Find m such that a(m) = 0.
-1
Suppose -115*s + 114*s = -5. Let l(f) be the third derivative of -1/8*f**4 + 0 + 1/2*f**3 + 0*f - f**2 - 1/20*f**s + 1/40*f**6. Suppose l(r) = 0. What is r?
-1, 1
Find u such that 1/9*u**4 - 1/3*u + 1/9*u**2 - 2/9 + 1/3*u**3 = 0.
-2, -1, 1
Let y(s) be the first derivative of -s**7/245 - s**6/210 + 5*s**2/2 + 1. Let g(c) be the second derivative of y(c). Factor g(r).
-2*r**3*(3*r + 2)/7
Let l(x) be the first derivative of 0*x**4 + 1/6*x**6 - 1 + 2/3*x**3 - 1/2*x**2 + 0*x - 2/5*x**5. Factor l(c).
c*(c - 1)**3*(c + 1)
Let k(d) be the second derivative of -1/15*d**3 + 0*d**2 - 1/60*d**4 + d + 0. Find j, given that k(j) = 0.
-2, 0
Let g(p) be the second derivative of 0*p**3 + 2*p - 1/24*p**4 - 1/2*p**2 + 0*p**5 + 0 + 1/120*p**6. Let r(c) be the first derivative of g(c). Factor r(y).
y*(y - 1)*(y + 1)
Suppose -2*g + 108 = -34. Find m, given that -20*m - m**4 - g*m**3 + 64*m + 7 + 22*m**4 + 34*m**2 + 1 = 0.
-1/3, -2/7, 2
Let b(g) = -g**5 - g**4 - g - 1. Let y(x) = 7*x**5 + 3*x**4 - 16*x**3 - 8*x**2 + 15*x + 11. Let u(h) = 3*b(h) + y(h). Find o, given that u(o) = 0.
-1, 1, 2
Let t(b) be the second derivative of b**4/54 + 4*b**3/27 - 5*b**2/9 + 11*b. Suppose t(j) = 0. What is j?
-5, 1
Let o = -2743/15 + 183. Factor o*x**2 + 0 + 2/15*x.
2*x*(x + 1)/15
Let s(z) = z**2 + 1. Let u(f) = -4*f**3 - 20*f**2 - 8*f - 8. Let q(r) = 8*s(r) + u(r). Factor q(m).
-4*m*(m + 1)*(m + 2)
Let l(x) be the first derivative of x**4/40 - 7*x**3/30 + 3*x**2/4 - 9*x/10 - 3. Factor l(t).
(t - 3)**2*(t - 1)/10
Let a(u) be the first derivative of u**4/28 - 2*u**3/21 + u**2/14 + 13. Let a(n) = 0. Calculate n.
0, 1
Let p = -4 + 6. Suppose -l + 2*l - p = 0. Factor -t + 3*t - 3*t + t**l.
t*(t - 1)
Suppose -4*b = g, -4*b + 6*b = 4*g. Let m = 4 + b. Determine j, given that 2*j**2 + 0*j**2 + j**3 - j - j**m - j**2 = 0.
-1, 0, 1
Let p(g) be the first derivative of -g**4/2 - 22*g**3/9 - 4*g**2 - 8*g/3 + 18. Factor p(u).
-2*(u + 1)*(u + 2)*(3*u + 2)/3
Let b(f) be the third derivative of -f**8/10080 + f**6/1080 - f**4/12 - 2*f**2. Let m(l) be the second derivative of b(l). Factor m(d).
-2*d*(d - 1)*(d + 1)/3
Let m(c) be the first derivative of -7/4*c**4 - 3/5*c**5 + c**2 + c**3 + 4 + 5/6*c**6 + 0*c. Factor m(u).
u*(u - 1)**2*(u + 1)*(5*u + 2)
Let m be ((-7)/42)/(1/4*-1). Suppose m + 4/3*v**2 - 1/3*v**3 - 5/3*v = 0. Calculate v.
1, 2
Let u(m) be the first derivative of -m**3/6 - 3*m**2/2 - 9*m/2 - 2. Determine w so that u(w) = 0.
-3
What is m in 25*m**3 - 66*m**2 - 9*m + 18*m**2 - 62*m**2 + 49*m = 0?
0, 2/5, 4
What is v in -5/3*v**4 + 10/3*v**3 - 10/3*v**2 - 1/3 + 1/3*v**5 + 5/3*v = 0?
1
Let g(q) be the second derivative of q**4/28 - q**3/7 - 9*q**2/14 + 9*q. Factor g(v).
3*(v - 3)*(v + 1)/7
Let v be (0 + 8/2)/1. Suppose 1 + 5 = k. Determine d so that -d - 8*d**2 - k*d**v + d**4 - 7*d**4 - 19*d**3 = 0.
-1, -1/3, -1/4, 0
Let p = 1198/21 - 57. Let a(f) be the second derivative of 2/105*f**6 + 2*f + 0*f**5 + 0 + p*f**3 - 1/21*f**4 + 0*f**2 - 1/147*f**7. Let a(g) = 0. What is g?
-1, 0, 1
Suppose -r = 6*r - 28. Let z(u) be the second derivative of 0*u**2 - 1/3*u**3 + 2*u + 0 - 1/10*u**5 + 1/3*u**r. Factor z(q).
-2*q*(q - 1)**2
Determine w, given that w**3 + 0 - 3/2*w**4 + 3/2*w**2 - w = 0.
-1, 0, 2/3, 1
Let g(x) be the third derivative of -x**8/672 - x**7/140 - 41*x**2. Factor g(c).
-c**4*(c + 3)/2
What is y in 0*y**2 + 0*y**3 + 0 + 0*y + 2/7*y**4 - 2/7*y**5 = 0?
0, 1
Let k(s) = s**2 - s. Let v be k(1). Find u, given that 2 + v + 0 - u**2 + 0*u - u = 0.
-2, 1
Let r(j) be the third derivative of j**6/180 - j**5/90 - 5*j**4/18 - 8*j**3/9 - 20*j**2. Factor r(b).
2*(b - 4)*(b + 1)*(b + 2)/3
Let 6*s + 0 + 3 + s**2 - 3*s**2 + 5 = 0. What is s?
-1, 4
Let v(y) be the third derivative of 1/105*y**7 + 0*y**5 + 0*y + 1/30*y**6 - 5*y**2 - 1/3*y**3 - 1/6*y**4 + 0. Factor v(l).
2*(l - 1)*(l + 1)**3
Factor 5*f**2 - 10 + 4*f + 4*f - 10*f**2 + 7*f.
-5*(f - 2)*(f - 1)
Suppose -y - 3*g = -2*y - 2, 5*g - 70 = -5*y. Let w be ((-16)/(-10))/(4/y). Find v such that w*v - 2*v**2 + 3 - 2 - 3 = 0.
1
Let m = -25 + 30. Let l(c) be the second derivative of -1/3*c**3 + 0 + 5/48*c**4 + 1/2*c**2 + 2*c - 1/80*c**m. Factor l(j).
-(j - 2)**2*(j - 1)/4
Let w(i) be the second derivative of i**4/66 - 2*i**3/11 + 9*i**2/11 + i