 - 3*o**3 + 3/4*o**4 + t*o**2 = 0 for o.
0, 1, 2
Let q(p) = p + 30. Let f be q(-30). Let v(r) = -r + 2. Let c be v(0). Factor -3/2*d + c*d**3 + f*d**2 + 1/2.
(d + 1)*(2*d - 1)**2/2
Let t be ((-8)/(-2))/((-4)/(-3)). Let a(h) be the first derivative of 1/2*h**4 + 4/3*h**t + 0*h + h**2 + 2. Factor a(l).
2*l*(l + 1)**2
Let d(m) = -22*m**4 + 53*m**3 - 19*m**2 + 3*m - 3. Let a(o) = -o**5 - 21*o**4 + 52*o**3 - 20*o**2 + 4*o - 4. Let s(r) = 3*a(r) - 4*d(r). Factor s(q).
-q**2*(q - 4)**2*(3*q - 1)
Suppose -3*l = -6*l + 12. Let p(c) be the second derivative of 1/60*c**5 - 3*c + 0*c**2 + 0 + 0*c**3 + 1/90*c**6 + 0*c**l. Factor p(a).
a**3*(a + 1)/3
Let i(h) be the second derivative of -h**7/294 + 2*h**6/105 + h**5/28 - 5*h. Factor i(u).
-u**3*(u - 5)*(u + 1)/7
Let q(v) be the second derivative of -v**7/84 - v**6/60 + v**5/40 + v**4/24 - 8*v. Factor q(f).
-f**2*(f - 1)*(f + 1)**2/2
Let l(o) be the first derivative of 2*o + 3*o**2 + 1/2*o**4 + 2*o**3 + 3. Solve l(n) = 0 for n.
-1
Let y(v) be the second derivative of v**4/42 - v**3/21 - 14*v. Solve y(o) = 0.
0, 1
Let l be 51/(-54) + -2 - -3. Let u(o) be the first derivative of 1 + 0*o**2 - 2/27*o**3 + l*o**4 + 0*o. Factor u(i).
2*i**2*(i - 1)/9
Let i(y) be the second derivative of -y**6/180 - y**5/90 + y**4/18 + 5*y**2/2 - 2*y. Let p(b) be the first derivative of i(b). Factor p(m).
-2*m*(m - 1)*(m + 2)/3
Let c(r) = -r**2 - r - 1. Let p(s) = 4*s + 8 + 3*s**2 - 2*s**2 + 0*s**5 + 2*s**4 - s**5 - 5. Let g(h) = 6*c(h) + 2*p(h). Factor g(d).
-2*d*(d - 1)**3*(d + 1)
Let z(b) = b**3 - 5*b**2 - 4*b - 8. Let y be z(6). Let -27*p**y + 0*p**3 - 2*p**3 - 21*p**5 - 4*p**3 = 0. What is p?
-1, -2/7, 0
Suppose -l - 6 = -3*l. Suppose -2*o**2 - 3 + l - 4 + 4*o + 2 = 0. Calculate o.
1
Let l(m) be the first derivative of -m**4/6 + m**3/3 + 2*m**2 + m - 3. Let n(h) be the first derivative of l(h). Find v such that n(v) = 0.
-1, 2
Let j(s) be the second derivative of 4*s**5/45 - s**4/6 - 2*s**3/9 - 5*s**2/2 + 9*s. Let t(g) be the first derivative of j(g). Determine d so that t(d) = 0.
-1/4, 1
Factor 125/7 + 15/7*k**2 - 1/7*k**3 - 75/7*k.
-(k - 5)**3/7
Let g(k) = -k**4 + k**2 - k + 1. Let r(l) = 8*l**4 - 12*l**2 + 2*l - 6. Let n(x) = -6*g(x) - r(x). Factor n(q).
-2*q*(q - 2)*(q + 1)**2
Let o be ((-10)/((-20)/(-4)))/(-1). Let v(x) be the first derivative of 1/14*x**4 + 0*x + 0*x**2 - o + 2/21*x**3. Solve v(n) = 0.
-1, 0
Let d(w) be the third derivative of w**7/8820 - w**5/420 - w**4/8 - 6*w**2. Let a(x) be the second derivative of d(x). Let a(u) = 0. What is u?
-1, 1
Suppose 2*k + 3 + 0 = w, 3*k + 6 = 2*w. Suppose o - 4*o = k. Factor 0 + o*g + 3/4*g**3 - 1/2*g**2 - 1/4*g**4.
-g**2*(g - 2)*(g - 1)/4
Let n(j) = -j**3 - 13*j**2 - 13*j - 9. Let d be n(-12). Let a(c) be the second derivative of -1/9*c**2 + c + 0 + 0*c**d + 1/54*c**4. Factor a(y).
2*(y - 1)*(y + 1)/9
Let p(j) be the second derivative of j**7/6300 + j**6/1800 - j**5/150 + j**4/4 + 2*j. Let r(t) be the third derivative of p(t). Factor r(y).
2*(y - 1)*(y + 2)/5
Let q(p) be the second derivative of p**6/30 + p**5/10 - p**3/3 - p**2/2 + 11*p. Factor q(j).
(j - 1)*(j + 1)**3
Let r be 12/36*(1 - 1). Let i(d) be the second derivative of r + 1/15*d**3 - 7/60*d**4 + 3*d + 0*d**2 + 1/20*d**5. Determine m, given that i(m) = 0.
0, 2/5, 1
Let p = 50 + -47. Let b(g) be the first derivative of 2 + 2/9*g**p + 0*g + 1/6*g**4 + 0*g**2. Suppose b(m) = 0. What is m?
-1, 0
Let l(o) be the second derivative of o**6/10 - 9*o**5/20 + 2*o**3 - 3*o. Let l(g) = 0. What is g?
-1, 0, 2
Let c(v) = -v**2 - 9*v. Let k be c(-9). Suppose k = -w - 0*w. Factor b**3 + 0*b**4 + w*b**3 + b**4 - b - b**2.
b*(b - 1)*(b + 1)**2
Let l(c) be the first derivative of -c**4/4 + 2*c**3/3 - c**2/2 - 1. Let l(s) = 0. What is s?
0, 1
Suppose 4*d = -3*k + 25, 0 = k - 3*d + 8*d - 23. Suppose 3*w + 18 = 2*i, 0*i - k = -5*i - 3*w. Let 6*g + i*g**2 - 4*g - g + 2*g**3 = 0. What is g?
-1, -1/2, 0
Let x(i) = -i**3 - 6*i**2 + 3*i - 8. Let n be x(-7). Solve 2*r**4 - 4*r**2 + 23*r**3 + n*r**3 + 2 - 43*r**3 = 0 for r.
-1, 1
Let r(k) be the first derivative of 0*k - 1 - 1/8*k**2 + 1/6*k**3 - 1/16*k**4. Factor r(c).
-c*(c - 1)**2/4
Let s(t) be the first derivative of -3 - 6*t**2 + 5/2*t**3 - 3/8*t**4 + 6*t. Factor s(x).
-3*(x - 2)**2*(x - 1)/2
Let d(u) be the first derivative of 0*u**3 - 1/2*u**4 - 1/5*u**5 + u + 4 + u**2. Factor d(v).
-(v - 1)*(v + 1)**3
Factor -64*x**5 - 21*x + 45 - 47 + 65*x**4 + 79*x**4 + 4*x**3 - 61*x**2.
-(x - 2)*(x - 1)*(4*x + 1)**3
Let p be -4*(-104)/(-56) + 8. Factor p*z - 2/7*z**2 + 0.
-2*z*(z - 2)/7
Let 21*f - 6 + 0*f**4 - 7*f**4 + 4*f**4 + 15*f**3 - 27*f**2 = 0. What is f?
1, 2
Let l(c) be the third derivative of c**6/600 - c**5/300 - c**4/120 + c**3/30 + 9*c**2. Factor l(s).
(s - 1)**2*(s + 1)/5
Let b be 2/(-4)*(-4 - 0). Factor -b*p**3 - 2*p**2 - 4*p**2 + 8 + 0*p**3.
-2*(p - 1)*(p + 2)**2
Factor 1/4*m - 1/4 - 1/4*m**3 + 1/4*m**2.
-(m - 1)**2*(m + 1)/4
Let a(i) be the third derivative of -49*i**6/30 - 49*i**5/5 + 2*i**4/3 + 8*i**3 - 10*i**2. Factor a(n).
-4*(n + 3)*(7*n - 2)*(7*n + 2)
Suppose -i + 9 = 2*i. Factor -i*b**2 + 5*b**2 - 4*b**2 + 3*b**2.
b**2
Determine c so that 8*c**2 - 20 + 23*c**2 + 20*c + 4*c**2 + 10*c**3 = 0.
-2, 1/2
Factor -6*j + j**3 - 3 + 4*j**2 + 2*j**2 - 3*j**3 + 5.
-2*(j - 1)**3
Let q(t) be the first derivative of 6*t**2 - 18*t - 2/3*t**3 + 1. Factor q(f).
-2*(f - 3)**2
Let y(q) be the first derivative of 25*q**4/8 - 10*q**3/3 + q**2 - 8. Let y(f) = 0. What is f?
0, 2/5
Let n(p) be the first derivative of -p**3 + 3*p**2 - 3*p + 5. Suppose n(u) = 0. What is u?
1
Let k = 30 + -209/7. Let z(n) be the first derivative of 10/21*n**3 + k*n**2 - 2/7*n + 3/14*n**4 + 1. Factor z(m).
2*(m + 1)**2*(3*m - 1)/7
Let f(k) be the first derivative of k**7/21 + k**6/5 + k**5/5 + 3*k - 3. Let w(a) be the first derivative of f(a). Factor w(v).
2*v**3*(v + 1)*(v + 2)
Let l(u) = 9*u**3 - 25*u**2 - 4*u + 15. Let o(d) = -8*d**3 + 24*d**2 + 4*d - 16. Let n(q) = -4*l(q) - 5*o(q). Factor n(v).
4*(v - 5)*(v - 1)*(v + 1)
Let j be 3/(2/2 + 0). Let o(h) = h. Let r be o(j). Factor 2/7*i**r + 0 + 0*i + 0*i**2.
2*i**3/7
Let i(o) = -5*o**4 + o**3 - 3*o**2 - 7*o + 8. Suppose 18 = -3*b - 0*b. Let r(k) = k**4 + k - 1. Let a(w) = b*r(w) - i(w). Factor a(p).
-(p - 1)**2*(p + 1)*(p + 2)
Let j(s) be the third derivative of -s**6/40 + s**4/8 - 22*s**2. Factor j(i).
-3*i*(i - 1)*(i + 1)
Suppose 3 + 3 = 3*j. Suppose -j*p = -10 + 4. Factor -4*n**2 + 0 + n - 4*n**4 + n**5 + 0 + 6*n**p.
n*(n - 1)**4
Factor -8/9*y**3 + 46/9*y**2 - 20/3*y - 2.
-2*(y - 3)**2*(4*y + 1)/9
Let j be 1 + -1 + (0 - -2). Suppose -w = 5*c + 5, c - 4*w = -j*c + 20. Determine p, given that -2/5*p**2 + 2/5*p + c = 0.
0, 1
Let z(m) be the second derivative of -m**2 - 1/60*m**5 + 1/3*m**3 + 1/24*m**4 + 3*m + 0. Let j(n) be the first derivative of z(n). Factor j(g).
-(g - 2)*(g + 1)
Let x(v) = -v**3 + 7*v**2 + 10*v - 12. Let d = -13 + 21. Let u be x(d). Suppose 0*m**3 - 4*m**2 - m**3 - m**2 + u*m**2 = 0. What is m?
-1, 0
Let g(x) = -3*x + 1. Let w be g(-7). Let l be 92/w - (-2)/(-11). Factor 3*q**2 + 2 - 3 + 3 - q**l + q**3 - 5*q.
-(q - 1)**3*(q + 2)
Let b(y) be the second derivative of y**4/4 - 5*y**3/2 - 9*y**2 + 15*y. What is v in b(v) = 0?
-1, 6
Let k(v) be the second derivative of 1/6*v**4 + 0 + 4/3*v**3 + 4*v**2 + 8*v. Determine x, given that k(x) = 0.
-2
Suppose 2*u = -0*u + 4. Suppose 2 = -u*f + 4*r, 4*f + r - 17 = 2*r. Suppose -6*i**4 + 5*i**5 - 2*i - 3*i**f + 10*i**4 - 4*i**2 = 0. Calculate i.
-1, 0, 1
Let n(q) be the third derivative of q**6/540 - q**5/360 - q**4/72 + q**3/6 + 4*q**2. Let g(u) be the first derivative of n(u). Determine f, given that g(f) = 0.
-1/2, 1
Let j(l) be the first derivative of -l**5/20 + l**4/8 - l**2/4 + l/4 - 4. Find y, given that j(y) = 0.
-1, 1
Let j be (12 + -9)*(-1)/(-5). Suppose 6/5*i**2 + 3/5*i**5 + 0 + 0*i**3 - 6/5*i**4 - j*i = 0. What is i?
-1, 0, 1
Let w = -201/2 - -101. Suppose t - 1/2*t**2 - w*t**3 + 0 = 0. Calculate t.
-2, 0, 1
Let b be (0 + -1)/((-1)/(-6)). Let j be (-5)/(-30)*(-9)/b. Suppose -p**2 + 1/2 + 1/2*p**4 + j*p**5 + 1/4*p - 1/2*p**3 = 0. What is p?
-2, -1, 1
Solve -3 + 3*u + 2 + 4*u**2 + 0*u**2 - 6*u = 0 for u.
-1/4, 1
Let j(r) be the first derivative of r**6/3 - r**4 + r**2 - 4. Determine i so that j