*3 - 3*i**4 - 3*i**5 - 2*i**2 - u*i**4 - 2*i**4 + i**4 = 0. Calculate i.
-1, -2/3, 0
Let h(q) be the third derivative of q**7/420 + q**6/120 - q**5/40 - q**4/6 - q**3/3 + 18*q**2. Determine d, given that h(d) = 0.
-2, -1, 2
Let i(b) = b**5 - b**4 + b**3 + 3*b**2. Let w(h) = 2*h**5 - h**4 + h**3 + 4*h**2. Let v(a) = 3*i(a) - 2*w(a). Suppose v(m) = 0. What is m?
-1, 0, 1
Let z = -56 - -225/4. Let h(v) be the first derivative of -1/2*v + 1 - 1/4*v**4 - 1/10*v**5 + 1/12*v**6 + 1/3*v**3 + z*v**2. Factor h(y).
(y - 1)**3*(y + 1)**2/2
Let g = 28 + -26. Let c(q) be the third derivative of -1/600*q**6 - 1/300*q**5 + 0 + 0*q**3 + 0*q + 0*q**4 - g*q**2. Let c(b) = 0. What is b?
-1, 0
Let f(c) be the first derivative of 0*c**3 - 1/3*c**2 + 6 - 1/15*c**5 + 1/3*c + 1/6*c**4. Determine a, given that f(a) = 0.
-1, 1
Let j(r) = -43*r**4 + 2 + 4*r + r**3 + 41*r**4 - 7*r**3. Let f(t) = -4*t**4 - 13*t**3 + 8*t + 4. Let d(s) = -2*f(s) + 5*j(s). Factor d(w).
-2*(w - 1)*(w + 1)**3
Factor -y**2 + 0*y**3 - 1/2*y + y**4 + 0 + 1/2*y**5.
y*(y - 1)*(y + 1)**3/2
Factor -32/7 + 16/7*l - 2/7*l**2.
-2*(l - 4)**2/7
Let u = 432 + -2156/5. Factor u*p + 2/5*p**2 - 6/5.
2*(p - 1)*(p + 3)/5
Let z be (-6)/(-12) + (-27)/(-6). Let w(r) = 7*r**3 - r**2 - 3*r. Let h(y) = 3*y**3 - y. Let s(u) = z*h(u) - 2*w(u). Find j such that s(j) = 0.
-1, 0
Let g be (-5)/(25/(-3))*(-10)/(-9). What is d in g*d + 2/9*d**3 + 2/3*d**2 + 2/9 = 0?
-1
Let l(u) be the third derivative of -u**6/360 - u**5/60 + u**3/2 - 3*u**2. Let o(s) be the first derivative of l(s). Solve o(b) = 0.
-2, 0
Let a(s) = 3*s**2 - 7*s - 1. Let f(d) = 4*d**2 - 8*d - 2. Let g(j) = -4*a(j) + 6*f(j). Factor g(z).
4*(z - 2)*(3*z + 1)
Let x(q) be the first derivative of 0*q - 1/60*q**5 + 0*q**3 - 1 + 1/2*q**2 + 0*q**4. Let t(u) be the second derivative of x(u). Let t(m) = 0. What is m?
0
Let n = -1 + 1. Let m + 4*m**2 + n*m**2 - 3*m**3 - 2*m + 0*m**3 = 0. Calculate m.
0, 1/3, 1
Let z(w) be the second derivative of 1/8*w**2 + 1/24*w**3 - 1/80*w**5 + 0 - 1/48*w**4 - w. Factor z(n).
-(n - 1)*(n + 1)**2/4
Let b(f) be the first derivative of f**3/3 + 3*f**2 + 9*f + 1. Factor b(j).
(j + 3)**2
Suppose 0*x - 3*x = -9. What is c in -2*c**5 - 3*c**4 - x*c**3 - c**2 + c**5 + 0*c**4 = 0?
-1, 0
Let j(o) be the first derivative of -o**6/60 + o**5/40 + o**4/24 - o**3/12 + 2*o - 4. Let l(m) be the first derivative of j(m). Suppose l(q) = 0. What is q?
-1, 0, 1
Let a = 37/570 + 2/57. Let l(v) be the first derivative of 4/15*v**3 + 3 + 0*v - 1/5*v**2 - a*v**4. Factor l(k).
-2*k*(k - 1)**2/5
Suppose 21*q = 19*q + 14. Let y(a) be the third derivative of 1/840*a**q + 0*a**3 - 1/240*a**6 + 1/240*a**5 + 0 - 3*a**2 + 0*a + 0*a**4. Factor y(v).
v**2*(v - 1)**2/4
Let 25*a**2 + 11*a**5 - 38*a**5 - 37*a**2 + 27*a**4 + 12*a**3 = 0. What is a?
-2/3, 0, 2/3, 1
Let f(u) = u**3 - 2*u**2 + 3*u - 2. Let v be f(2). Factor 2*j - j**2 - j**3 + 3*j**4 - j + j**v - 3*j**4.
j*(j - 1)**2*(j + 1)
Let y(x) = 3*x**2 - x. Let m = 5 + -3. Let j(p) = -15*p**2 + 5*p. Let f(w) = m*j(w) + 11*y(w). Factor f(v).
v*(3*v - 1)
Let f be 0/((2 - 4) + 4). Suppose 2/7*q**2 - 4/7*q + f = 0. What is q?
0, 2
Let r(v) be the first derivative of -v**4/14 - 4*v**3/7 - 9*v**2/7 - 59. Factor r(f).
-2*f*(f + 3)**2/7
Let u be (-72)/32*8/(-6). Let c be 1 + ((-100)/(-45) - u). Factor -8/9*w**2 + 4/3*w**3 + c*w + 0 - 8/9*w**4 + 2/9*w**5.
2*w*(w - 1)**4/9
Let q = 161 - 156. Let g(k) be the first derivative of -2 + 1/6*k**3 - 1/20*k**q - 1/4*k + 0*k**4 + 0*k**2. Factor g(b).
-(b - 1)**2*(b + 1)**2/4
Let c = -17 - -27. Let w be (-3)/15 + 38/c. Suppose -12/5*i + w*i**2 - 8/5*i**3 + 2/5 = 0. Calculate i.
1/4, 1
Solve 11*c - 3*c - 3*c**3 + 4 - 4*c**4 - 3*c**3 - 2*c**3 = 0 for c.
-1, 1
Let z(n) be the first derivative of -n**4/8 + n**3/6 + 2*n**2 - 6*n - 24. Factor z(b).
-(b - 2)**2*(b + 3)/2
Determine w, given that 2/11*w**2 + 8/11*w + 8/11 = 0.
-2
Suppose 0 = o + 7*r - 2*r - 19, 0 = o - 2*r + 9. Let x = o + 3. Factor 1 + x*s**3 + 13/2*s**2 + 11/2*s.
(s + 1)*(s + 2)*(4*s + 1)/2
Factor 8/7*w + 4/7*w**3 - 12/7*w**2 + 0.
4*w*(w - 2)*(w - 1)/7
Let x(r) be the second derivative of -r**5/40 + r**4/12 + r. Factor x(p).
-p**2*(p - 2)/2
Let p(l) be the second derivative of l**5/20 - l**4/12 - 39*l. Factor p(t).
t**2*(t - 1)
Let k = -42/29 + 197/116. Factor 3/4 + k*j**2 + j.
(j + 1)*(j + 3)/4
Find g such that 51 - 8 - 36*g - 3*g**3 - 19 + 18*g**2 = 0.
2
Let l be -4 - 41/9*-1. Let n(f) be the second derivative of -2/3*f**2 - l*f**3 + 7/18*f**4 + 0 + 2*f. Find s, given that n(s) = 0.
-2/7, 1
Let q(a) = -3*a + 27. Let h be q(9). Factor -4/9*j**2 - 2/9*j + 14/9*j**3 - 8/9*j**4 + h.
-2*j*(j - 1)**2*(4*j + 1)/9
Let s(o) = o**3 - o**2 - o - 1. Let i(x) = -6*x**3 + 11*x**2 + 12*x + 9. Let a(u) = 4*i(u) + 28*s(u). Factor a(f).
4*(f + 1)**2*(f + 2)
Let w(m) be the second derivative of -m**7/21 + 2*m**6/15 - m**4/3 + m**3/3 - 11*m. Let w(u) = 0. What is u?
-1, 0, 1
Let r(t) be the first derivative of 4*t**5/35 - 2*t**4/7 - 4*t**3/21 + 4*t**2/7 + 4. Suppose r(b) = 0. Calculate b.
-1, 0, 1, 2
Let x = 3 - 0. Let w(g) = -g**2 + 11*g - 9. Let t be w(10). Determine j, given that 3*j**x - 7*j**2 + t - 4*j**3 + 5*j**3 + 2*j = 0.
-1/4, 1
Let v(s) be the second derivative of -s**8/1344 + s**7/840 + s**6/480 - s**5/240 + 3*s**2/2 - 3*s. Let t(m) be the first derivative of v(m). Factor t(j).
-j**2*(j - 1)**2*(j + 1)/4
Let l be 6*((-5)/(-2) - 2). Suppose -2*o + l*i = 9, 0*i = i - 3. Factor w**2 + 1/2*w + 1/2*w**3 + o.
w*(w + 1)**2/2
Let f be -5*(42/(-15))/2. Suppose 7 - j**3 + 2*j - j**2 - f = 0. Calculate j.
-2, 0, 1
Factor -4*p**4 + 4*p + 0*p**4 + 0*p**4 + 3*p**4 - 3*p**3.
-p*(p - 1)*(p + 2)**2
Suppose 8 = 4*x - 8. Let u be ((-10)/40)/((-18)/16). Determine n so that -2/9*n**3 + 2/9*n + u - 2/3*n**2 + 4/9*n**x = 0.
-1, -1/2, 1
Let w = -172 + 689/4. Solve v + 1 + w*v**2 = 0.
-2
What is h in 2/3*h + 2/3*h**3 + 4/3*h**2 + 0 = 0?
-1, 0
Let k(d) = -d**2 - d. Let m(v) = 22*v + 72. Let n(g) = 4*k(g) - 2*m(g). Find i such that n(i) = 0.
-6
Factor 7*t**3 - 3*t**4 - 15*t**2 + 3*t**4 - 2*t**4 + t**4 + 9*t.
-t*(t - 3)**2*(t - 1)
Let v(o) be the first derivative of 6 + 0*o**3 + 0*o**2 - 1/5*o**5 + 1/4*o**4 + 0*o. Factor v(w).
-w**3*(w - 1)
Let x(w) = w**2 - 10*w + 2. Let z(y) = -y**2 + 13*y - 20. Let v be z(10). Let c be x(v). Let -3/4*a + 1/2 + 1/4*a**c = 0. Calculate a.
1, 2
Let b = -1 + 5. Suppose -1 = b*u - 9. Determine a, given that a + u*a - a + 2*a**2 = 0.
-1, 0
Suppose 6 = 3*r - 5*r. Let m(f) = f**2 + f - 4. Let q be m(r). Factor -3/2*z**3 + 0 - 3/2*z**4 - 1/2*z**q - 1/2*z**5 + 0*z.
-z**2*(z + 1)**3/2
Factor -290*h + 7*h**3 + 290*h - 8*h**2 - 3*h**3.
4*h**2*(h - 2)
Suppose -5*i = 2*b - 45, i + b - 5*b = -13. Let p = 10 - i. Factor n + 4*n**p - 3*n**3 - 2*n.
n*(n - 1)*(n + 1)
Solve 1/3 - 1/3*i**3 + i**2 - i = 0.
1
Suppose -2*h = -5*f + 15, f - 3*f = 4*h - 6. Factor 3*g + 9/2*g**2 + h + 3/2*g**3.
3*g*(g + 1)*(g + 2)/2
Let u(i) = -i**3 + 10*i**2 + i - 10. Let z be u(10). Let o be (0 + (-4)/(-18))*1. Let -4/9*r**3 + 4/9*r**5 - 2/9*r**2 + o*r**4 + 0 + z*r = 0. Calculate r.
-1, -1/2, 0, 1
Let j(i) be the first derivative of -7*i**5/5 + 19*i**4/4 - 5*i**3 + i**2/2 + 2*i - 33. Factor j(b).
-(b - 1)**3*(7*b + 2)
Let r = -9 - -10. Let a(i) = -i + 1. Let b be a(r). Find h such that -2/7*h + 2/7*h**2 + b = 0.
0, 1
Let p = -224/3 - -76. Solve -2/3*n**3 + 0 - 2/3*n - p*n**2 = 0 for n.
-1, 0
Let d(a) be the second derivative of a**2 + 0 + a - 1/6*a**3 - 1/12*a**4. Let d(t) = 0. What is t?
-2, 1
Let p(f) = -f**4 - 4*f**3 + 7*f**2 + 2*f - 2. Let q(b) = 3*b**4 + 7*b**3 - 13*b**2 - 5*b + 5. Let y(d) = 5*p(d) + 2*q(d). Let y(z) = 0. Calculate z.
0, 3
Suppose -5*p = -r - 4*r + 35, r - 5*p = 23. Determine l, given that 2*l**r - l**3 - 3*l**2 - 2*l**3 + 2*l**2 = 0.
-1, 0
Let f be (3 - 7)/(4/(-10)). Suppose -3*a - 4*z = -12, -5*a - 2*z + f = 4. Factor -2/9*l**2 + 0 + a*l.
-2*l**2/9
Suppose -3*v = -2*v - 3. Suppose v*f - 4 = 4*w + 2, 3*f + 3*w - 6 = 0. Solve -n + 0*n**2 + 2*n**5 - 3*n**5 - 6*n**3 + 4*n**4 + 4*n**f = 0 for n.
0, 1
Let c(b) = 4*b**4 + 7*b**3 + 6*b**2 - 7*b - 10. Let s(y) = 3*y**4 + 6*y**3 + 6*y**2 - 6*y - 9. Let k(f) = -6*c(f) + 7*s(f). Factor k(q).
-3*(q - 1)**2*(q + 1)**2
Let h = 127 - 127. Let n(l) be the third derivative of 0 + 1/120*l**5 + 1/96*l**4 - 