*i**2 + 66*i**2 - 14*i**3 = 0?
-2, -1, -1/3, 1
Let g(k) be the first derivative of k**5/30 + k**4/12 - k**3/6 - k**2/3 + 2*k/3 - 16. Factor g(p).
(p - 1)**2*(p + 2)**2/6
Suppose 0 = 4*p - 3*o - 27, -4*o - 4 = 4*p + 4. Suppose -2/5*v**p + 0*v**2 + 6/5*v - 4/5 = 0. Calculate v.
-2, 1
Let f(v) = v**4 + v**3 + v**2 - v - 1. Let a(k) = -21*k**4 - 6*k**3 + 59*k**2 + 56*k + 11. Let p(r) = a(r) + f(r). Let p(w) = 0. Calculate w.
-1, -1/4, 2
Let b be (-7)/(-21)*30/2. Suppose 4*o + b - 21 = 0. Factor 0*h - h**2 + 0*h**3 + 1/2*h**o + 1/2.
(h - 1)**2*(h + 1)**2/2
Solve -8/5 - 4/5*n + 4/5*n**2 = 0 for n.
-1, 2
Let j(a) = -2*a**2 - 19*a + 13. Let c be j(-10). Let o(b) be the third derivative of 0 + 0*b**5 + 0*b - 1/36*b**4 + 2*b**2 + 0*b**c + 1/180*b**6. Factor o(n).
2*n*(n - 1)*(n + 1)/3
Suppose 5*u + 0*u - 10 = 0. Factor 2/11*l**u - 4/11 + 2/11*l.
2*(l - 1)*(l + 2)/11
Let w(b) be the second derivative of -b**5/4 - 5*b**4/3 + 5*b**3/6 + 10*b**2 + 13*b. Suppose w(i) = 0. What is i?
-4, -1, 1
Let v be 36/(-21) + (-5 - -7). Factor 2/7*d**2 + 4/7*d + v.
2*(d + 1)**2/7
Determine q so that 0 + 2/7*q - 2/7*q**3 + 0*q**2 = 0.
-1, 0, 1
Let s(i) be the second derivative of -27*i**7/49 - 6*i**6/5 - 13*i**5/70 + 2*i**4/3 - 4*i**3/21 + 4*i. Factor s(o).
-2*o*(o + 1)**2*(9*o - 2)**2/7
Let g(q) be the second derivative of -q**7/189 - q**6/135 + q**5/30 + 5*q**4/54 + 2*q**3/27 - 4*q. Let g(b) = 0. Calculate b.
-1, 0, 2
Let b = 4 + -2. Solve 6*o**4 - 26*o**b - 20*o**4 + 26*o**3 + 34*o**2 - 2*o**3 = 0 for o.
-2/7, 0, 2
Let j(d) be the first derivative of 2*d**5/25 + 3*d**4/10 + 2*d**3/5 + d**2/5 + 7. Factor j(c).
2*c*(c + 1)**3/5
Let f(j) = j**3 + 3*j**2 + 4*j + 3. Let h be f(-2). Let i(n) = -n**3 + n**2 + n + 1. Let q be i(h). Suppose a**2 - a + a**q - 4*a**2 - 3*a - 2 = 0. Calculate a.
-1
Let h(i) be the second derivative of -i**7/105 + i**6/15 - 9*i**5/50 + 7*i**4/30 - 2*i**3/15 - 9*i. Factor h(y).
-2*y*(y - 2)*(y - 1)**3/5
Let k(l) be the second derivative of 0 - 4/21*l**3 + 0*l**2 - 1/105*l**6 - 1/14*l**5 + l - 4/21*l**4. Factor k(d).
-2*d*(d + 1)*(d + 2)**2/7
Let 2/5*n**2 + 56/5*n + 392/5 = 0. What is n?
-14
Let l(s) be the first derivative of -s**6/720 + s**5/120 + s**3/3 + 1. Let m(v) be the third derivative of l(v). Factor m(k).
-k*(k - 2)/2
Let w(x) be the second derivative of 27*x**5/20 - 15*x**4/4 + 7*x**3/2 - 3*x**2/2 - 24*x. Factor w(y).
3*(y - 1)*(3*y - 1)**2
Let u(v) be the third derivative of -v**5/20 - v**4/4 - 2*v**2. Factor u(s).
-3*s*(s + 2)
Let q = 13 - 20. Let s be (-6 - q)/((-1)/(-2)). Factor s*o**2 - 3 + o + o - 5*o**2 + 4*o.
-3*(o - 1)**2
Let j(n) be the second derivative of 0 + n + 0*n**2 + 7/90*n**6 + 0*n**3 + 3/20*n**5 + 1/18*n**4. Factor j(m).
m**2*(m + 1)*(7*m + 2)/3
Let z(o) be the second derivative of -2*o**4/3 - o**3/3 + 3*o**2 - 3*o. Let g(l) = 7*l**2 + 2*l - 5. Let v(u) = 6*g(u) + 5*z(u). Find b such that v(b) = 0.
-1, 0
Let u(a) be the second derivative of a**7/252 - a**5/20 + a**4/9 - a**3/12 - 8*a. Solve u(f) = 0.
-3, 0, 1
Let w(k) = -k**3 + 2*k. Let h be w(-2). Suppose a - h = -a. Suppose 3 - r - a - r + r**2 = 0. What is r?
1
Let b = 456 + -453. Let -1/5*k**b - 2/5*k - 3/5*k**2 + 0 = 0. What is k?
-2, -1, 0
Let z(y) = -10*y - 15. Let m be z(-2). Let 1/4*j**3 - 1/4*j**2 + 1/4*j**4 - 1/4*j**m + 0 + 0*j = 0. What is j?
-1, 0, 1
Let c(k) be the second derivative of -k**7/14 - 3*k**6/5 - 39*k**5/20 - 3*k**4 - 2*k**3 + 6*k. Factor c(u).
-3*u*(u + 1)**2*(u + 2)**2
Let a(b) be the third derivative of -b**5/12 - 5*b**4/8 - 7*b**2. Factor a(r).
-5*r*(r + 3)
Let j(z) be the second derivative of -z**4/54 - z**3/27 + 2*z**2/9 + 4*z. Find y, given that j(y) = 0.
-2, 1
Suppose -2*y - 4 = 0, -2*y = -2*v + y + 10. Factor -o**4 - 10*o**v - 9*o**4 + 8*o**2 + 12*o**3.
-2*o**2*(o - 1)*(5*o - 1)
Factor 8/5*z**3 - 8/5*z - 12/5*z**2 + 2 + 2/5*z**4.
2*(z - 1)**2*(z + 1)*(z + 5)/5
Let o(t) be the second derivative of 0*t**3 - 3/100*t**5 + 1/50*t**6 - 1/20*t**4 - 4*t + 1/70*t**7 + 0 + 0*t**2. Let o(f) = 0. Calculate f.
-1, 0, 1
Let b = -5/17 - -49/51. Factor -4/3*z + 0*z**2 - b + 2/3*z**4 + 4/3*z**3.
2*(z - 1)*(z + 1)**3/3
Let s(q) be the third derivative of -q**8/2240 + q**7/280 - q**6/120 + q**4/6 + 3*q**2. Let r(b) be the second derivative of s(b). What is v in r(v) = 0?
0, 1, 2
Factor 0 + 4/9*m**3 + 0*m**4 + 0*m**2 - 2/9*m - 2/9*m**5.
-2*m*(m - 1)**2*(m + 1)**2/9
Suppose -12 = 2*x - x. Let q = -10 - x. Factor q*d**4 - 3 + 5 - 4*d**2 + 0*d**2.
2*(d - 1)**2*(d + 1)**2
Let z(m) = -m + 24. Let w be z(22). Factor -2/3*b**2 - 8/3*b - w.
-2*(b + 1)*(b + 3)/3
Let g(v) be the third derivative of -v**5/140 + 3*v**4/28 - 5*v**3/14 - 21*v**2. Factor g(z).
-3*(z - 5)*(z - 1)/7
Let a(m) = m**2 - m - 1. Let o(k) = -7*k**2 + 5*k + 6. Let p(n) = -6*a(n) - o(n). Let d be p(-2). Let 0 + 0*g + 1/4*g**d = 0. Calculate g.
0
Let l(a) = a**3 + a - 1. Let f(n) = 3*n**3 - n**2 + 2*n - 2. Let y(t) = 2*f(t) - 4*l(t). Factor y(m).
2*m**2*(m - 1)
Let v(c) be the third derivative of c**6/6 - c**5/5 - c**4/3 - 6*c**2. Factor v(j).
4*j*(j - 1)*(5*j + 2)
Let g(z) be the first derivative of 2*z**3 + 7/5*z**5 + 14*z**2 - 8*z + 3 - 23/4*z**4. Factor g(y).
(y - 2)**2*(y + 1)*(7*y - 2)
Let g(q) be the third derivative of -q**6/30 - q**5/30 + q**4/6 + q**3/3 - 11*q**2. Let g(l) = 0. What is l?
-1, -1/2, 1
Let j be (-1 - -2) + 17/(-18). Let o(v) be the second derivative of j*v**4 + 0*v**2 + 0 - 1/45*v**6 + 1/9*v**3 + 2*v - 1/30*v**5. Factor o(i).
-2*i*(i - 1)*(i + 1)**2/3
Let p = 10 - 8. Let r(t) be the first derivative of 0*t + 4/3*t**3 + 3 - 1/2*t**4 - t**p. Factor r(m).
-2*m*(m - 1)**2
Let d(g) be the first derivative of -g**4/3 + 10*g**3/9 + 2*g**2 - 6*g + 15. Solve d(u) = 0.
-3/2, 1, 3
Let a(p) be the first derivative of -p**4 - 4*p**3/3 + 2*p**2 + 4*p + 6. Let a(u) = 0. Calculate u.
-1, 1
Let t(g) = g**4 - 3*g**3 - 4*g**2 - 2*g. Suppose -6*f = -3*f. Suppose f = 4*n + 13 - 5. Let m(l) = l**4 - l**2 - l. Let i(v) = n*m(v) + t(v). Factor i(u).
-u**2*(u + 1)*(u + 2)
Let -7/11*h**4 - 2/11*h - 3/11*h**2 + 0 + 12/11*h**3 = 0. Calculate h.
-2/7, 0, 1
Factor 4*h**2 + 3*h**2 + 4*h + 0*h**2 + 3*h**3 + 1 + h.
(h + 1)**2*(3*h + 1)
Let b(j) = j**2 - 3*j + 1. Let m be (3/(-2) + 2)*0. Let q(d) = -3 + 4 - 2 + m. Let f(p) = b(p) - q(p). Let f(v) = 0. What is v?
1, 2
Let z(r) be the second derivative of 1/3*r**3 - 4*r + 0 - 1/12*r**4 - 1/2*r**2. Factor z(i).
-(i - 1)**2
Factor 3/5*b**2 - 3/5*b - 6/5.
3*(b - 2)*(b + 1)/5
Let d(g) be the second derivative of 0 + 8*g - 1/12*g**4 + 1/3*g**3 + 0*g**2. Find s such that d(s) = 0.
0, 2
Let f be (-18)/(-6) + (-3)/3. Let b(u) be the first derivative of 2/7*u + 0*u**f - 4/21*u**3 + 0*u**4 + 3 + 2/35*u**5. Solve b(k) = 0.
-1, 1
Let g = 266 - 1329/5. Factor -g - 2/5*w - 1/5*w**2.
-(w + 1)**2/5
Let k(c) be the third derivative of 5*c**2 - 13/480*c**6 - 1/24*c**3 + 0 - 1/210*c**7 - 1/16*c**5 - 7/96*c**4 + 0*c. Determine w, given that k(w) = 0.
-1, -1/4
Let q(h) be the second derivative of -h**6/300 - h**5/50 - h**4/20 - h**3/15 + 3*h**2/2 - h. Let n(c) be the first derivative of q(c). Let n(k) = 0. What is k?
-1
Let l = -21 - -45/2. Let s be 21/(-12)*((-165)/(-35) + -5). Let 0*t + 0 + 1/2*t**5 - s*t**2 + 3/2*t**3 - l*t**4 = 0. Calculate t.
0, 1
Let g = -44/105 + 89/210. Let l(m) be the third derivative of 0 - 1/210*m**6 + 1/735*m**7 + 0*m**4 + 2*m**2 + 0*m**3 + g*m**5 + 0*m. Factor l(x).
2*x**2*(x - 1)**2/7
Solve l + 0 - 1/3*l**3 + 2/3*l**2 = 0.
-1, 0, 3
Let s be (-12)/(-18) - (-123)/45. Let f = -29/10 + s. Factor h**4 + 0 + 0*h**3 - 1/2*h - h**2 + f*h**5.
h*(h - 1)*(h + 1)**3/2
Suppose 0 = -7*m + 8*m - 114. Let a be 13/6 - 19/m. Factor 0 + 2/9*q**a + 2/9*q.
2*q*(q + 1)/9
Let b(d) be the second derivative of -d**4/54 - 2*d**3/9 - d**2 + 8*d. Factor b(u).
-2*(u + 3)**2/9
Let h(i) be the third derivative of -1/21*i**3 + 1/420*i**6 + 1/28*i**4 - 2*i**2 + 0 + 0*i - 1/70*i**5. Find q, given that h(q) = 0.
1
Let h(l) be the first derivative of 0*l - 10/21*l**3 - 1 + 2/7*l**4 + 1/7*l**2. Factor h(f).
2*f*(f - 1)*(4*f - 1)/7
Let g be ((-3)/6 + 1)*2. Let z be (g + -1)*4/12. Find x, given that 4/7*x**2 - 2*x**3 + 0*x + z = 0.
0, 2/7
Let l(g) be the first derivative of 0*g + 0*g**4 + 2/25*g**5 - 1/15*g**6 + 0*g**3 + 0*g**2 + 9. Find h such that l(h) = 0.
0, 1
Let -h**2 + 1/2 - 5/