) be the third derivative of 10*w**2 + 5/8*w**6 + 25/84*w**7 + 0*w**3 + 0 + 0*w + 1/2*w**5 + 1/6*w**4. Find x, given that f(x) = 0.
-2/5, 0
Let w(c) = -16*c**3 - c**2 - 16*c + 11. Let r(t) = -2 + 6*t**3 + 4*t - t - 3*t**3. Let x(j) = 22*r(j) + 4*w(j). Factor x(s).
2*s*(s - 1)**2
Let m(s) be the second derivative of s**9/7560 + s**8/1680 - s**7/1260 - s**6/180 + s**4/6 - 3*s. Let w(o) be the third derivative of m(o). Factor w(u).
2*u*(u - 1)*(u + 1)*(u + 2)
Suppose -3 = -v + 2*v + 3*c, 2*v - 4*c - 4 = 0. Let x(k) be the second derivative of v + k + 1/20*k**4 + 0*k**2 + 0*k**3. Factor x(m).
3*m**2/5
Let l(k) be the first derivative of -3 - 2/3*k**3 + 1/720*k**6 + 0*k + 0*k**4 + 0*k**2 + 1/240*k**5. Let x(v) be the third derivative of l(v). Factor x(s).
s*(s + 1)/2
Factor 1/11*v**4 - 1/11*v**5 + 2/11*v**3 + 0 + 0*v + 0*v**2.
-v**3*(v - 2)*(v + 1)/11
Let a be (((-105)/2)/21)/(10/(-2)). Suppose 0*j + j**3 - a*j**4 + 0 - 1/2*j**2 = 0. What is j?
0, 1
Solve 8/7 + 8/7*i + 4/7*i**3 - 2*i**2 = 0.
-1/2, 2
Suppose -34 = -3*z - 34. Let t(h) be the second derivative of z + 0*h**3 + 1/6*h**4 + 0*h**2 - 3*h. Factor t(k).
2*k**2
Suppose 3*l - 7*l = 0. Factor 6*w**3 - 6*w**2 - 11*w - 3*w**5 + 3 + l*w + 3*w**4 + 8*w.
-3*(w - 1)**3*(w + 1)**2
Let d(p) be the first derivative of -3/2*p**4 + 8*p + 0*p**2 + 0*p**3 + 1. Let o(k) = 2*k**3 - 3. Let m(u) = 3*d(u) + 8*o(u). Find a, given that m(a) = 0.
0
Let k(u) = u - 2. Let p be k(2). Suppose p = 2*d - 1 - 5. Determine b so that b**5 - b**2 - 2*b**4 - b + 0*b + d*b**2 = 0.
-1, 0, 1
Let r = 26 + -26. Suppose r = -6*p + 10*p - 8. Factor -6/7*h**3 + p*h**2 + 2/7 - 10/7*h.
-2*(h - 1)**2*(3*h - 1)/7
Let n(r) be the third derivative of r**8/10080 - r**4/12 - 3*r**2. Let h(x) be the second derivative of n(x). Suppose h(c) = 0. What is c?
0
Factor 5*s**5 - 2*s**5 + 0*s**3 + 12*s - 6*s**4 + 12*s**2 - 14*s**3 + 5*s**3.
3*s*(s - 2)**2*(s + 1)**2
Factor -20*w**2 + 60*w**2 - 22*w**2 - 6 - 17*w**2 + 5*w.
(w - 1)*(w + 6)
Suppose 3*t - 2*l - 16 = 0, -3*t = -0*l + 4*l + 14. Factor 0*z + 2/9*z**t - 2/9.
2*(z - 1)*(z + 1)/9
Let h be 0 + 7/((-7)/(-2)). Factor 0*l**2 + 2 + 4*l + l**h + l**2.
2*(l + 1)**2
Let -2*y**3 - 30/7*y**2 - 2/7*y**4 - 18/7*y + 0 = 0. What is y?
-3, -1, 0
Let d(i) be the first derivative of i**6/30 + i**5/10 + i**4/12 + 3*i**2/2 - 1. Let t(p) be the second derivative of d(p). Let t(j) = 0. Calculate j.
-1, -1/2, 0
Suppose -4*i = -2*i + 3*v - 18, -2*i = 2*v - 20. Let f be (-8)/(-18)*18/i. Factor 0*b + 0 + 2/3*b**4 + 0*b**3 + 0*b**2 + f*b**5.
2*b**4*(b + 1)/3
Let q be (4/5*(-3)/(-6))/2. Factor q*u**4 + 0 + 1/5*u**5 + 0*u - 1/5*u**3 - 1/5*u**2.
u**2*(u - 1)*(u + 1)**2/5
Let l = -53 - -55. Let i(j) be the first derivative of -3/8*j**2 + 1/2*j + l + 0*j**3 + 1/16*j**4. Factor i(p).
(p - 1)**2*(p + 2)/4
Let a(u) be the second derivative of -u**6/60 - u**5/20 + 14*u. Find j such that a(j) = 0.
-2, 0
Let g(v) = v**3 + v**2 - 1. Let o(m) = -6*m**3 - 3*m**2 + 5. Let y(r) = -10*g(r) - 2*o(r). Determine z, given that y(z) = 0.
0, 2
Let n(d) be the third derivative of -3*d**2 - 1/30*d**5 + 0*d - 1/18*d**4 + 0*d**3 - 1/180*d**6 + 0. Factor n(v).
-2*v*(v + 1)*(v + 2)/3
Factor 4/3*s + 0 + 2/3*s**2.
2*s*(s + 2)/3
Let o(y) = -2*y**3 - 2*y**2 + 5*y + 4. Let s be o(-3). Factor -98*j**4 - 8*j - 45*j**3 + s*j**3 + 48*j**2 - 22*j**3.
-2*j*(j + 1)*(7*j - 2)**2
Let r(z) be the second derivative of z**7/42 - z**6/10 + z**5/10 + z**4/6 - z**3/2 + z**2/2 - 8*z. Suppose r(v) = 0. Calculate v.
-1, 1
Factor 0*z**2 + 0 + 2/5*z**3 + 2/5*z**5 + 0*z + 4/5*z**4.
2*z**3*(z + 1)**2/5
Let u be ((-8)/90)/((-32)/80). Factor 0 - u*y**2 + 4/9*y.
-2*y*(y - 2)/9
Let t = -3 - -7. Suppose -6*n**2 + 4*n**t + 2*n**4 + 15*n**3 + 0*n**4 - 15*n**5 = 0. Calculate n.
-1, 0, 2/5, 1
Let l = 43 + -43. Let b(g) be the third derivative of 1/48*g**4 + 1/240*g**5 + 0*g**3 - 3*g**2 + l + 0*g. Determine h, given that b(h) = 0.
-2, 0
Let x(g) be the third derivative of -g**9/4032 - g**8/2240 + g**3/6 + 3*g**2. Let d(t) be the first derivative of x(t). Let d(v) = 0. What is v?
-1, 0
Suppose c = -2*c. Let w(u) be the second derivative of -2*u + 1/30*u**4 + 0*u**3 + 0 + c*u**2 + 3/50*u**5. Let w(v) = 0. Calculate v.
-1/3, 0
Suppose 0*j - 6*j = -12. Let k(t) be the third derivative of 1/48*t**4 + 0*t + 0 - 2*t**j - 1/80*t**5 + 1/24*t**3. Suppose k(r) = 0. Calculate r.
-1/3, 1
Let f(a) be the third derivative of 0*a**3 - 4*a**2 + 0*a + 0*a**6 - 1/420*a**5 + 0 + 0*a**4 + 1/1470*a**7. Find b, given that f(b) = 0.
-1, 0, 1
Suppose -3*p + 2*k = 0, 0 = k - 4*k + 9. Factor -2/7*i**4 + 2/7 - 4/7*i + 4/7*i**3 + 0*i**p.
-2*(i - 1)**3*(i + 1)/7
Determine t so that -81/5 - 18/5*t - 1/5*t**2 = 0.
-9
Let p be ((-1)/(-3))/((-63)/(-81999)). Let h = 435 - p. Factor -4/7 - 10/7*w - h*w**2 - 2/7*w**3.
-2*(w + 1)**2*(w + 2)/7
Let p(w) be the first derivative of -w - 1/3*w**3 - 1 - w**2. What is f in p(f) = 0?
-1
Let y(n) be the first derivative of -5*n**4/4 - 45*n**3 - 1215*n**2/2 - 3645*n + 13. Factor y(w).
-5*(w + 9)**3
Suppose 3 = -3*r, 0 = -2*q - 3*r + 5 - 4. Let z be 21/(-12) - (-4)/q. Factor -1/4*u + z*u**2 + 0.
u*(u - 1)/4
Suppose -1 = -5*g - 5*y + 3*y, -3*y = g + 5. Let w(d) be the first derivative of 0*d + 7/4*d**4 + d**2 - 3*d**3 + g. Solve w(n) = 0 for n.
0, 2/7, 1
Suppose -3*g + 0*x + 9 = -x, 11 = 5*g - 3*x. Solve -1/9*f**3 + 2/9*f**g + 1/9*f - 1/3*f**2 + 1/9 = 0 for f.
-1, -1/2, 1
Let k(q) = q**3 - 3*q**2 - 6*q + 2. Let z be k(4). Let d = 6 + z. Factor 0 - 1/2*c**2 - 1/4*c**3 + d*c.
-c**2*(c + 2)/4
Factor -384 - 144*s - 18*s**2 - 3/4*s**3.
-3*(s + 8)**3/4
Factor -4 + 15*i + 3*i**2 + 9*i**3 + 6*i**3 - 18*i**3 + 13.
-3*(i - 3)*(i + 1)**2
Let z = 0 - -3. Let t(h) be the third derivative of 1/420*h**7 + 1/80*h**6 - h**2 + 1/120*h**5 + 0*h - 1/6*h**z + 0 - 1/16*h**4. Let t(q) = 0. What is q?
-2, -1, 1
Let f be 31/155 - 0/1. Factor -f*q**3 + 0 - 1/5*q + 2/5*q**2.
-q*(q - 1)**2/5
Suppose 3*k - 8*k = -105. Let v be (-6)/(-9) + k/9. Factor 1 - 3*f**3 - 2*f + 5*f**2 - v*f + f**3 + f.
-(f - 1)**2*(2*f - 1)
Solve -3/8*t**2 + 3/8*t**4 + 0 + 3/8*t - 3/8*t**3 = 0 for t.
-1, 0, 1
Let z(h) be the second derivative of h**6/120 + h**5/80 - h**4/24 - 24*h. Factor z(k).
k**2*(k - 1)*(k + 2)/4
Suppose 2*b + 3*b + 10 = -y, 2*y - 13 = b. Factor 0*l**2 - l**3 + 6*l - l**2 + 1 - y*l.
-(l - 1)*(l + 1)**2
Let f be 7 - (5 - (-2)/(-1)). Suppose -6*h**3 - 2*h**3 + f*h**3 - 6*h**4 + 4*h**2 + 2*h**4 + 4*h = 0. What is h?
-1, 0, 1
Let p(d) be the second derivative of -d**7/105 + 3*d**5/50 - d**4/15 - 12*d. Factor p(h).
-2*h**2*(h - 1)**2*(h + 2)/5
Let v(g) be the first derivative of g**3/4 - 3*g/4 + 10. Factor v(q).
3*(q - 1)*(q + 1)/4
Let b(c) be the third derivative of 0*c + 1/12*c**4 - 1/60*c**6 + 0*c**5 - 7*c**2 + 0*c**3 + 0. Suppose b(g) = 0. What is g?
-1, 0, 1
Suppose 0 = 2*w + 3 + 3. Let b(j) = -3*j**3 - 3*j**2 + 3. Let x(p) = p**4 - 3*p**3 - 4*p**2 + 4. Let i(a) = w*x(a) + 4*b(a). Factor i(m).
-3*m**3*(m + 1)
Suppose d - 3*h = -4*d + 57, -1 = -h. Find v such that 5 - 1 + 18*v**2 + d*v + 0 - 2 = 0.
-1/3
Let l(t) = t**2 + 4*t + 8. Let m(d) = -3*d**2 - 9*d - 15. Let i(c) = 9*l(c) + 4*m(c). Factor i(z).
-3*(z - 2)*(z + 2)
Let d(k) be the first derivative of 17*k**4 + 2*k + 6*k - 2*k**3 - 6 - k**3 + 22*k**2 + 31*k**3 + 4*k**5. Find v, given that d(v) = 0.
-1, -2/5
Determine o, given that -12/5 - 18/5*o**3 - 14/5*o**4 + 66/5*o**2 - 22/5*o = 0.
-3, -2/7, 1
Let h(o) = -o**3 - 2*o**2 + o - 3. Let i be h(-3). Solve -4*j**4 + 3 - 7 - 22*j**i - 2*j**4 - 30*j**2 - 18*j = 0 for j.
-1, -2/3
Let o(p) = p**2 + 1. Let n be ((-1)/(-2) + 0)*-2. Let y(x) = 4. Let j(h) = n*y(h) + 2*o(h). Let j(v) = 0. Calculate v.
-1, 1
Let y = 4 - 2. Let w(k) = -k**3 - 3*k**2 - 2*k - 4. Let l be w(-3). Factor -4*g - 1 - l + 1 - 2*g**y.
-2*(g + 1)**2
Let o be (-57)/(-8) + (-16)/128. Let v be (o + -7)*(-2)/(-4). Let -2/5*u**2 - 2/5*u**3 + v + 0*u = 0. What is u?
-1, 0
Let b(n) be the first derivative of -3 + 3/16*n**4 + 1/4*n**3 + 0*n - 3/20*n**5 + 0*n**2 - 1/8*n**6. Factor b(o).
-3*o**2*(o - 1)*(o + 1)**2/4
Let p = 1 - 2. Let w be 8/6*(-3)/p. Solve -w + 3 + 0 + a**2 = 0 for a.
-1, 1
Suppose -5 = -y - 0*y. Suppose 7*h - 20 = 3*h. Solve 0*p**5 - p**h + 2*p**y + p**4 = 0.
-1, 0
Let c(s) be the first derivative of -4*s**5/35 + 4*s**4/7 - 8*s**3/21 - 8*s