that 3/2*b**3 - 9/2*b + 3*b**2 + 0 = 0.
-3, 0, 1
Let s(d) be the first derivative of d**5/20 + d**4/4 + d**3/2 + d**2/2 - d + 1. Let t(m) be the first derivative of s(m). Let t(b) = 0. What is b?
-1
Let c(k) be the second derivative of 1/66*k**4 + 1/110*k**5 - 1/231*k**7 + 0 - 5*k - 1/165*k**6 + 0*k**3 + 0*k**2. Factor c(f).
-2*f**2*(f - 1)*(f + 1)**2/11
Let k(a) = 3*a + 24. Let r be k(-8). Let d(o) be the third derivative of -o**2 + 7/60*o**5 + 1/24*o**4 + 49/480*o**6 + r + 0*o**3 + 0*o. What is x in d(x) = 0?
-2/7, 0
Let p = -680230109594/2223 + 305996445. Let l = -1/247 - p. Suppose 0 - l*a**4 + 0*a - 40/9*a**3 - 8/9*a**2 = 0. Calculate a.
-2/5, 0
Let o(r) be the third derivative of -r**6/30 - r**5/5 - r**4/3 - 12*r**2. Let o(y) = 0. Calculate y.
-2, -1, 0
Let r = 4 - 1. Let k = 6 + -4. Suppose -2/3*t**r + 0 - 1/3*t**k - 1/3*t**4 + 0*t = 0. What is t?
-1, 0
Let w = -14 + 8. Let r = 10 + w. Determine q, given that -1 + 12*q**3 + 13*q**2 - 2*q**r + 6*q + 6*q**4 + 2 = 0.
-1, -1/2
Let u be 2 + -2 - 1/(-4). Let g = -19/5 - -43/10. Factor -1/4 + g*c - u*c**2.
-(c - 1)**2/4
Let d be 3/180 - (-1 - -1). Let c(g) be the third derivative of -d*g**6 + 8/3*g**3 - g**4 + 1/5*g**5 + 0*g + g**2 + 0. Factor c(p).
-2*(p - 2)**3
Let r(l) be the first derivative of -3*l**4/7 + 8*l**3/21 + 6*l**2/7 - 8*l/7 - 37. Factor r(x).
-4*(x - 1)*(x + 1)*(3*x - 2)/7
Let t(b) be the third derivative of b**6/105 + b**5/42 + b**4/84 + 6*b**2. What is d in t(d) = 0?
-1, -1/4, 0
Factor 2/5*w**3 + 0*w + 1/5*w**4 + 0 + 1/5*w**2.
w**2*(w + 1)**2/5
Suppose 4 = 2*n, h + 2*h - 2*n = -4. Factor h + 0*o + 2/9*o**4 - 4/9*o**3 + 2/9*o**2.
2*o**2*(o - 1)**2/9
Let d(c) = -c**2 + c - 1. Let q(k) = 2*k**2 - 6*k + 1. Suppose -3*g - 5 + 14 = 0. Let x be -6 + 3 - (-1 - 3). Let m(u) = g*d(u) + x*q(u). Factor m(t).
-(t + 1)*(t + 2)
Suppose 0 = 5*z - 6*d - 37, -2*d - 2 = -2*z - 6*d. Determine i so that 1/3*i**2 - 5/3*i**4 + 1/3*i**z + 7/3*i**3 - 8/3*i + 4/3 = 0.
-1, 1, 2
Let u(j) be the third derivative of j**9/12096 - j**8/1120 + j**7/420 + j**6/90 + j**5/60 + 4*j**2. Let o(r) be the third derivative of u(r). Factor o(w).
(w - 2)**2*(5*w + 2)
Let w(o) be the third derivative of o**5/10 + 2*o**4/3 + 4*o**3/3 + o**2. Factor w(b).
2*(b + 2)*(3*b + 2)
Let 28/3*h**2 - 8/3*h + 2*h**3 - 7/3*h**5 + 0 - 19/3*h**4 = 0. What is h?
-2, 0, 2/7, 1
Let k(h) be the second derivative of h**6/30 - h**5/10 + h**4/12 + 9*h. Factor k(w).
w**2*(w - 1)**2
Let o(u) be the third derivative of 0*u - 7/6*u**4 + 4/105*u**7 - 4/3*u**3 + 1/30*u**6 + 0 - 2/5*u**5 - 9*u**2. Factor o(m).
4*(m - 2)*(m + 1)**2*(2*m + 1)
Let l = 159 - 473/3. Let y(w) be the first derivative of 1/2*w**2 + l*w**3 + 3/2*w**4 - 1 + 1/6*w**6 + 0*w + 4/5*w**5. Let y(j) = 0. Calculate j.
-1, 0
Let z(d) be the first derivative of -4*d**3/3 + 4*d**2 - 4*d + 1. Factor z(v).
-4*(v - 1)**2
Let n be (-9)/(1 + (-10)/4). Suppose 0 = 3*s - 5*y - 11, 2*y - n = 3*s - 7*s. Factor 3 - z**4 + z**s - z**3 - 3 + z.
-z*(z - 1)*(z + 1)**2
Let c(a) = -2*a**3 - 27*a**2 + 75*a - 40. Let f(o) = 15*o**3 + 190*o**2 - 525*o + 280. Let d(z) = -20*c(z) - 3*f(z). Factor d(u).
-5*(u - 1)**2*(u + 8)
Let i be ((3/(-2))/(-1))/3. Let b = 254 + -250. Suppose 0 - i*p**3 + 1/2*p**2 + 1/2*p - 1/2*p**b = 0. Calculate p.
-1, 0, 1
Let j(g) be the first derivative of -3*g**2/2 + g - 1. Let x be j(-1). Suppose -2/3*h**5 - 2*h**3 + 2*h**x + 0 + 2/3*h**2 + 0*h = 0. Calculate h.
0, 1
Factor 18*r + 23*r**2 + 27 - 44*r**2 + 24*r**2.
3*(r + 3)**2
Let i = -1 - -1. Suppose -2*n - 5 = -5. Factor 0*x**2 + n + 2/5*x**3 + i*x.
2*x**3/5
Suppose y + 2 = 2*y. Let o(a) = -5*a**3 - 9*a**2 - 9*a - 5. Let g(i) = -15*i + 3*i**2 - 4*i**3 - 4 + 7*i - 11*i**2. Let j(l) = y*o(l) - 3*g(l). Factor j(m).
2*(m + 1)**3
Factor 10/3*i**3 + 0*i + 0 - 4/3*i**2 - 8/3*i**4 + 2/3*i**5.
2*i**2*(i - 2)*(i - 1)**2/3
Let 1/3 + 1/6*s**3 + 2/3*s**2 + 5/6*s = 0. What is s?
-2, -1
Let w(q) = 6*q**2 - 10*q + 9. Let y(g) = -5*g**2 + 9*g - 8. Let d(j) = -4*w(j) - 5*y(j). Factor d(h).
(h - 4)*(h - 1)
Factor -2*h + 2*h**2 + 26*h - 25*h - h**3.
-h*(h - 1)**2
Let p = -1456/9 + 162. Determine h, given that -p*h**2 + 2/9 + 0*h = 0.
-1, 1
Let k(p) = -p**3 + 6*p**2 + p + 1. Let q(m) = -m**3 + 5*m**2 + m + 1. Let w(h) = -6*k(h) + 7*q(h). Let s be w(-1). Factor s - 1/5*f**2 + 0*f.
-f**2/5
Let h(c) be the third derivative of c**7/280 + c**6/40 + c**5/16 + c**4/16 - 21*c**2. Find u such that h(u) = 0.
-2, -1, 0
Suppose -5*y - 5 = -3*y + 3*n, y = -5*n - 13. Factor y*c**2 + 1/3 + 1/3*c**4 - 4/3*c**3 - 4/3*c.
(c - 1)**4/3
Let l = -103 + 311/3. Find n, given that -l*n**2 + 0*n + 0 - 4/3*n**4 - 1/3*n**5 - 5/3*n**3 = 0.
-2, -1, 0
Let g be 1*((2 - 4 - -1) + 1). Let w(d) be the second derivative of 4*d - 1/9*d**3 + g*d**4 + 0 + 2/9*d**2 + 1/90*d**5. Solve w(i) = 0.
-2, 1
Suppose o + 1 = 2*z + 2, z + 17 = -5*o. Let a be (z - -1*9) + -3. Solve -a*c**3 - 5 + 1 - c + 4 + 5*c**2 = 0 for c.
0, 1/4, 1
Solve 4*m**2 + 4*m + m**2 - m**2 = 0.
-1, 0
Determine r, given that 0 + 10*r**2 + 10*r**2 + 25*r - 3*r**3 + 8*r**3 + 10 = 0.
-2, -1
Let z be (-1)/3 + ((-65)/24)/(-5). Let s(b) be the second derivative of 0 - 1/4*b**2 + b - 1/40*b**5 + z*b**3 - 1/48*b**4. Factor s(f).
-(f - 1)*(f + 2)*(2*f - 1)/4
Determine w so that 0 - 3/2*w + 9/4*w**2 = 0.
0, 2/3
Let m = 14 - 10. Suppose m = -u + 3*u. Let 5*w - 3*w**4 + 3 + u*w + 0 - w - 6*w**3 = 0. What is w?
-1, 1
Let x be (-3)/(-5) + (-242)/(-55). Solve -12*n**3 + 26*n**2 - 8 - x + 2*n**4 - 24*n - 13 + 34 = 0.
1, 2
Let j(g) be the third derivative of 0 + 0*g**3 - 1/12*g**4 + 0*g + 1/30*g**5 + 2*g**2. Determine w, given that j(w) = 0.
0, 1
Let i = -26 - -38. Let q be i/8*(-2)/(-6). Factor 0 - q*h + 0*h**2 + 1/2*h**3.
h*(h - 1)*(h + 1)/2
Suppose -5*k = -r - 3*r + 15, 4*r - 6 = 2*k. Let l = -21 - -85/4. Suppose -1/4*j**2 - l*j**3 + 1/2*j + r = 0. Calculate j.
-2, 0, 1
Let y be (2 + -2 - -5)/1. Determine g so that -1 - g + 2*g**y + 25*g**4 + 2*g**2 - 3*g**5 + 2*g**3 - 26*g**4 = 0.
-1, 1
Find h, given that 0 + 16/7*h - 2/7*h**2 = 0.
0, 8
Factor -8 - 2*b**2 + b**3 + 77*b - 49*b - 38*b + b**2.
(b - 4)*(b + 1)*(b + 2)
Let o(a) = -a**3 - 4*a**2 + 3. Suppose 20 = -4*s + 2*i - 4*i, -5*i = -s + 6. Let v be o(s). Find y, given that y**5 - 6*y**5 + 4*y**5 + y**v = 0.
-1, 0, 1
Let b(r) be the third derivative of -r**6/280 - 3*r**5/140 - 3*r**4/56 - r**3/14 - 13*r**2. Suppose b(n) = 0. What is n?
-1
Suppose -3/2*j + 2 - 1/2*j**2 = 0. What is j?
-4, 1
Factor -7*y**4 + 4*y**4 + 7*y - 6*y**3 + 3*y - 4*y + 3.
-3*(y - 1)*(y + 1)**3
Let u(z) be the third derivative of 7*z**5/30 + 3*z**4/4 + 2*z**3/3 + 4*z**2. Factor u(h).
2*(h + 1)*(7*h + 2)
Let g = 6 - 11. Let w = g + 5. Factor w - 2/7*q + 2/7*q**2.
2*q*(q - 1)/7
Factor -20*k**2 + 12*k**3 + 2*k**3 + 24*k**2.
2*k**2*(7*k + 2)
Let s = 6722/9 - 744. Factor 76/9*i**3 - 64/9*i**2 - 4/9 + 10/9*i**5 - 44/9*i**4 + s*i.
2*(i - 1)**4*(5*i - 2)/9
Let b(w) be the third derivative of -2*w**7/105 - w**6/30 + 2*w**5/15 - 35*w**2. Factor b(z).
-4*z**2*(z - 1)*(z + 2)
Let m(c) be the first derivative of c**7/1680 - c**6/240 + c**4/12 - 4*c**3/3 - 2. Let p(w) be the third derivative of m(w). Factor p(k).
(k - 2)**2*(k + 1)/2
Determine m, given that -14 - 18*m - 15 - 2 - 3*m**2 + 7 = 0.
-4, -2
Solve 7*u**3 + 4 - 4*u**3 - 9*u - 6 - 4 = 0 for u.
-1, 2
Let i be 1/5 + 403/585. Factor 0 + 8/9*y**4 + 4/3*y**3 + i*y**2 + 2/9*y**5 + 2/9*y.
2*y*(y + 1)**4/9
Let k(n) be the first derivative of n**6/360 + n**5/180 - n**4/72 - n**3 + 1. Let q(b) be the third derivative of k(b). Suppose q(v) = 0. What is v?
-1, 1/3
Let y(h) = 2*h**2 + 27*h + 37. Let o(x) = -x**2 - x - 1. Let p(a) = 3*o(a) - y(a). Factor p(t).
-5*(t + 2)*(t + 4)
Let s(d) be the third derivative of d**8/84 + d**7/35 + d**6/120 - d**5/40 - d**4/48 + 11*d**2. Determine z, given that s(z) = 0.
-1, -1/2, 0, 1/2
Suppose 4*n + 3*i - i = 6, -4*i - 10 = -3*n. Suppose -4*c**3 + n*c**2 + c + 2*c**4 + c - 2*c = 0. What is c?
0, 1
Let a be 1008/99 - (-4)/(-22). Suppose -d + 3 = 4*b, 0 = -5*b - 4*d - a. Let -40/3*w + 4/3 + 100/3*w**4 - 205/3*w**3 + 47*w**b = 0. Calculate w.
1/4, 2/5, 1
Let -175*s**3 + 174*s**3 - 5*s**2 + 4*s**2 = 0. What is s?
-1, 0
Let d(j) be the second derivative of -1/24*j**3 + 0*j**2 + 2*j + 0 - 1/48*j**4. Factor d(u).
-u*(u + 1)/4
Let j(w) = 3*w**4 + 18*w*