(g) = -6*c(g) + 68*t(g). What is r in v(r) = 0?
-1, 0
Let m(v) be the third derivative of v**8/10080 + v**7/7560 - v**6/432 + v**5/180 + v**4/6 + v**2. Let x(a) be the second derivative of m(a). Factor x(q).
(q - 1)*(q + 2)*(2*q - 1)/3
Let s be -5 - 2/((-16)/44). Let 1/2*c - s*c**3 - 1/4*c**2 + 1/4 = 0. Calculate c.
-1, -1/2, 1
Let z = -123 + 863/7. Factor 2/7*x**4 - 4/7*x**2 + z - 2/7*x**5 + 4/7*x**3 - 2/7*x.
-2*(x - 1)**3*(x + 1)**2/7
Let w be 1/2 + (2/8 - 0). Factor -3*d**3 - 3*d**2 - w*d + 0.
-3*d*(2*d + 1)**2/4
Let z(c) be the second derivative of -c**5/50 + 2*c**4/15 - c**3/3 + 2*c**2/5 - 4*c. Let z(w) = 0. Calculate w.
1, 2
Let g = 133/354 - 5/118. Factor 1/3*c + g*c**2 + 0.
c*(c + 1)/3
Let j(f) be the first derivative of f**4/2 - 4*f**3/27 - f**2 + 4*f/9 - 2. Factor j(x).
2*(x - 1)*(x + 1)*(9*x - 2)/9
Let t be (-9)/3 + 6/1. Factor -2*q**t + 3*q**3 - 2*q**2 + 5*q + 2*q**2 - 4*q**2 - 2.
(q - 2)*(q - 1)**2
Let m(o) be the first derivative of -o**5/5 - 3*o**4/2 - 13*o**3/3 - 6*o**2 - 4*o + 4. Factor m(q).
-(q + 1)**2*(q + 2)**2
Let x(m) be the first derivative of 0*m**3 + 2*m - 1/6*m**2 - 1 + 1/36*m**4. Let j(p) be the first derivative of x(p). Factor j(a).
(a - 1)*(a + 1)/3
Let f(d) = -d**3 + 4*d**2 + 3*d. Let b(y) = y + 1. Let a be b(-4). Let h(c) = c**2 + c. Let s(v) = a*h(v) + f(v). Factor s(x).
-x**2*(x - 1)
Let g(j) be the first derivative of -3*j**4/4 + 9*j**2/2 + 6*j - 40. Find y, given that g(y) = 0.
-1, 2
Factor 0 + 13/2*s + 1/2*s**2.
s*(s + 13)/2
Let m(k) be the first derivative of 0*k + 1/12*k**4 + 3 + 0*k**2 + 1/9*k**3. Suppose m(u) = 0. What is u?
-1, 0
Let q(f) be the third derivative of 1/36*f**4 + 0*f + 3*f**2 + 0 + 0*f**3 - 1/180*f**5. Determine z so that q(z) = 0.
0, 2
Let b be (2/(-4) - (-1)/2)/2. Let w(r) be the third derivative of 0*r**3 + r**2 + b*r**4 + 0*r + 0 + 1/30*r**6 + 1/105*r**7 + 1/30*r**5. Factor w(c).
2*c**2*(c + 1)**2
Let a(d) = d**3 + d**2 + d + 1. Let x be a(0). Let h(y) be the first derivative of -16/3*y**6 + 48/5*y**5 - 4*y**3 + x - y**2 - 1/2*y**4 + 0*y. Factor h(u).
-2*u*(u - 1)**2*(4*u + 1)**2
Let p(x) be the third derivative of x**7/350 - 3*x**6/100 + 3*x**5/25 - x**4/5 + 2*x**2. Suppose p(q) = 0. What is q?
0, 2
Let v(l) be the third derivative of 0 - 1/20*l**5 + 5*l**2 + 0*l + l**3 + 1/8*l**4. Let v(w) = 0. What is w?
-1, 2
Suppose 9*h - 4*h + 146 = 3*b, h + 37 = -2*b. Let y = h - -33. Find q, given that -1/4*q**y + 1/4 + 0*q = 0.
-1, 1
Suppose -12*a - 1900 = -7*a. Let j = 2666/7 + a. Determine s so that 6/7*s**4 - j*s**2 + 0 + 2/7*s**3 - 2/7*s = 0.
-1, -1/3, 0, 1
Let c(g) be the second derivative of g**6/180 - g**5/18 + g**4/12 + g**3 - 5*g**2/2 + 7*g. Let d(j) be the first derivative of c(j). Solve d(h) = 0 for h.
-1, 3
Let c(f) be the first derivative of -f**3/6 - 2*f**2 - 8*f + 1. Factor c(b).
-(b + 4)**2/2
Let a be (-588)/(-360) - (-2)/(-15). Let p(h) be the third derivative of -3/20*h**6 - a*h**4 - 1/70*h**7 - 13/20*h**5 + 2*h**2 + 0 - 2*h**3 + 0*h. Factor p(i).
-3*(i + 1)**2*(i + 2)**2
Let i(d) be the second derivative of -d**6/30 + d**5/20 - 27*d. Factor i(g).
-g**3*(g - 1)
Factor -3/2 + 1/4*d + 3/2*d**2 - 1/4*d**3.
-(d - 6)*(d - 1)*(d + 1)/4
Let s(n) be the first derivative of n**4/4 + n**3 + 3*n**2/2 + n + 16. Determine d so that s(d) = 0.
-1
Let v(c) = 15*c**2 - 15*c - 25. Let w(g) = g - 1. Let o(d) = v(d) - 5*w(d). Factor o(q).
5*(q - 2)*(3*q + 2)
Factor 2*r**2 + 6 + 20*r**2 - 3 - 21*r - 4*r**2.
3*(r - 1)*(6*r - 1)
Suppose -a - 22 = -g - 4*g, 0 = -3*g - 2*a + 21. Factor -4*w**3 + 0*w + 6*w**4 - 8/3*w**g + 0 + 2/3*w**2.
-2*w**2*(w - 1)**2*(4*w - 1)/3
Let w be 3*(-1 + -1 + (-40)/(-12)). Let x(t) be the first derivative of 0*t**2 - 1 + 2/35*t**5 + 2/21*t**3 + 1/7*t**w + 0*t. Factor x(d).
2*d**2*(d + 1)**2/7
Let d(f) = f**3 + f**2. Let o(v) be the first derivative of -v**5/5 + v**4/4 + v**3 - 4*v**2 + 7. Let r(n) = 3*d(n) + 3*o(n). Factor r(c).
-3*c*(c - 2)**2*(c + 2)
Determine r so that 15/7*r**3 - 3/7*r**2 - 15/7*r + 3/7 = 0.
-1, 1/5, 1
Let u be 102/27 + 2/9. Let t(a) = 15*a**3 - 18*a - 12. Let y(g) = -7*g**3 + 9*g + 6. Let c(r) = u*t(r) + 9*y(r). Factor c(n).
-3*(n - 2)*(n + 1)**2
Let d(h) be the third derivative of 1/1512*h**8 + 1/270*h**6 + 0*h + 0 - 1/36*h**4 - 5*h**2 + 1/27*h**3 + 1/135*h**5 - 1/315*h**7. Factor d(r).
2*(r - 1)**4*(r + 1)/9
Let a be (-14)/(-30) - (-2)/(-5). Let s(u) be the first derivative of 0*u**3 - a*u**5 + 0*u**4 - 1 + 0*u**2 + 1/18*u**6 + 0*u. Factor s(f).
f**4*(f - 1)/3
Let u = 8 + -6. Suppose -u = -o + 1. Factor k**o + 2*k**5 - 4*k**5 + k**3.
-2*k**3*(k - 1)*(k + 1)
Suppose -2*h - h = h. Let i(g) be the second derivative of -1/12*g**4 + h + 0*g**2 + 1/9*g**3 - 1/12*g**5 + 3*g. Solve i(t) = 0.
-1, 0, 2/5
Suppose -n = -2*n + 2. Factor 6*h**2 - 2*h + h**2 - 3*h**2 - n*h**3.
-2*h*(h - 1)**2
Suppose 3*t + 4*g = -g + 49, 0 = -t - 3*g + 15. Let n be 28/(-42) - (-16)/t. Factor 0*w + 0 - 2/9*w**2 + n*w**3.
2*w**2*(w - 1)/9
Let t = -35 + 25. Let n be (-12)/10*t/6. Factor l - 5/3*l**n + 2/3.
-(l - 1)*(5*l + 2)/3
Let u = -4/15 + 14/75. Let b = 194/75 - u. Find d such that -1/3*d**4 + 2*d**3 + 0 + b*d - 4*d**2 = 0.
0, 2
Let z(d) be the second derivative of d**4/4 + 4*d**3 + 21*d**2/2 - 15*d. Let z(k) = 0. Calculate k.
-7, -1
Let k = -73 + 44. Let t = k + 31. Solve -3/2*j**t - 1/4 - 1/4*j**4 - j**3 - j = 0 for j.
-1
Let r = 3 + 2. Suppose r*k + 4*a - 7 = 2*a, -31 = -5*k + 4*a. Factor 0 + 2*w**4 - 10/3*w**k + 2/3*w + 2/3*w**2.
2*w*(w - 1)**2*(3*w + 1)/3
Suppose 10 = 8*s - 3*s. Let b be ((-3)/(-8))/(s/24). Let b*z**2 - z + 0 = 0. Calculate z.
0, 2/9
Suppose 0 = k, -4*f + 298 - 78 = -k. Let c be (-44)/f + (-4)/(-2). Suppose c*b**2 + 0 - 6/5*b**4 - 4/5*b**3 + 4/5*b = 0. Calculate b.
-1, -2/3, 0, 1
Let o = 1544/11805 + 2/787. Let u(i) be the second derivative of -1/5*i**2 - 2*i + 1/10*i**4 + 0 + o*i**3. Suppose u(m) = 0. Calculate m.
-1, 1/3
Let c(x) be the third derivative of -x**8/168 - 4*x**7/105 - x**6/10 - 2*x**5/15 - x**4/12 + 3*x**2. Factor c(o).
-2*o*(o + 1)**4
Let n(v) be the third derivative of -v**8/504 + 2*v**7/315 - v**5/45 + v**4/36 + 9*v**2. Factor n(w).
-2*w*(w - 1)**3*(w + 1)/3
Let t(r) be the first derivative of -r**5/10 + r**3/6 + 3. Let t(a) = 0. What is a?
-1, 0, 1
Suppose -2*q = -0*q - 4, -4*h + q - 2 = 0. Let k(g) be the second derivative of 2*g**2 + g + h - 1/20*g**5 + 0*g**3 - 1/4*g**4. Factor k(r).
-(r - 1)*(r + 2)**2
Let s(n) be the first derivative of -5*n**6/3 + 7*n**5 - 5*n**4/2 - 55*n**3/3 + 10*n**2 + 20*n - 9. Find w, given that s(w) = 0.
-1, -1/2, 1, 2
Let s(i) be the second derivative of -i**6/36 - i**5/6 - 25*i**4/72 - 5*i**3/18 - 4*i. Factor s(a).
-5*a*(a + 1)**2*(a + 2)/6
Solve -4/3*i + 7*i**2 - 4 = 0 for i.
-2/3, 6/7
Determine l, given that 4 + 2/3*l**2 + 14/3*l = 0.
-6, -1
Let l be 39/6 + 2/(-4). Factor 2*z**2 + l*z**3 + 3*z + 6 - 4*z**2 - 4*z**2 - 9*z**3.
-3*(z - 1)*(z + 1)*(z + 2)
Let g(d) = d**3 + 2*d + 3. Let c(p) = -p**3 + p**2 + p + 1. Let w(q) = 6*c(q) - 2*g(q). Let w(v) = 0. What is v?
-1/4, 0, 1
Let r = -30 + 35. Let a(g) be the second derivative of 22*g**3 - 2*g + 4*g**2 + 121/2*g**4 + 0 + 1331/20*g**r. Factor a(v).
(11*v + 2)**3
Let w(p) be the second derivative of -1/126*p**7 + 0*p**6 - 1/18*p**3 + 0*p**4 + 1/30*p**5 + 0*p**2 + 0 + 9*p. Determine x, given that w(x) = 0.
-1, 0, 1
Suppose -4*i**2 + i**2 - 9*i + i - i = 0. Calculate i.
-3, 0
Find g, given that 0*g + 12*g - 3*g**2 + 0*g**2 - 12 = 0.
2
Suppose -8 - 22*a**2 + 2 - 15*a + 10*a**2 - 3*a**3 = 0. What is a?
-2, -1
Let m = -15 - -19. Let v(s) be the third derivative of 0*s - s**2 + 0 + 1/24*s**m - 1/48*s**6 + 0*s**3 + 1/40*s**5. Factor v(r).
-r*(r - 1)*(5*r + 2)/2
Let w be (-2)/10 - 48/(-15). Let i(q) be the first derivative of 0*q + 0*q**w + 1/4*q**4 + 3 - 1/2*q**2. Let i(r) = 0. What is r?
-1, 0, 1
Let i be ((0/3)/(-2))/2. Suppose 0 = -3*m + 2*m - 2, -5*v - 3*m + 4 = 0. Find d, given that 1/2*d - 1/4*d**v + i = 0.
0, 2
Let o(c) be the third derivative of c**8/336 + c**7/120 + c**6/240 - c**5/240 + 10*c**2. Factor o(n).
n**2*(n + 1)**2*(4*n - 1)/4
Suppose 0 = 3*i - 0*d - 5*d - 8, 3*i = -3*d. Let m = i - 1. Solve 0 + 2/3*a**2 + m*a = 0.
0
Let k(i) = -3*i**2 - 12*i + 23. Let y(x) = 2*x**2 + 6*x - 12. Let q = 0 + -5. Let b(t) = q*y(t) - 3*k(t). Factor b(a).
-(a - 3)**