 l(c) be the second derivative of 1/14*c**7 + 4*c - 3/2*c**2 + 3/10*c**5 - 3/2*c**3 - 1/2*c**4 + 3/10*c**6 + 0. Factor l(p).
3*(p - 1)*(p + 1)**4
Let a = 35 - 32. Let n(s) be the third derivative of -a*s**2 + 0 + 0*s**3 + 0*s - 1/1344*s**8 + 0*s**4 + 1/480*s**6 + 0*s**7 + 0*s**5. Solve n(q) = 0 for q.
-1, 0, 1
Let w(i) = -2*i**3 + 1. Let j be w(-1). What is p in -4*p + p**4 - p**j + p**2 - p**3 - 2*p**3 + 1 + 5*p**2 = 0?
1
Let n(z) be the first derivative of 12*z**5/5 + 17*z**4 + 124*z**3/3 + 46*z**2 + 24*z + 28. Determine b so that n(b) = 0.
-3, -1, -2/3
Factor 40*q**2 - 9*q**4 + 16*q**5 + 4*q**5 - 4*q - 12*q**4 - 8 - 11*q**4 - 16*q**3.
4*(q - 1)**3*(q + 1)*(5*q + 2)
Let r(l) be the third derivative of l**9/3780 + l**8/6720 - l**7/630 - l**6/720 + l**4/8 - 3*l**2. Let k(s) be the second derivative of r(s). Factor k(z).
z*(z - 1)*(z + 1)*(4*z + 1)
Let d(t) be the first derivative of -4 + 0*t**3 - 4/55*t**5 - 1/33*t**6 - 1/22*t**4 + 0*t**2 + 0*t. Determine y, given that d(y) = 0.
-1, 0
Let d(w) be the third derivative of w**7/2520 - w**4/8 + 6*w**2. Let g(q) be the second derivative of d(q). Factor g(a).
a**2
Let l(j) = -2*j**2 + 13*j - 4. Let k be l(8). Let z = k - -30. Determine c, given that -2*c**2 + 0 + z*c**3 + 2/3*c - 2/3*c**4 = 0.
0, 1
Let f(m) be the second derivative of -m**4/4 + m**3 + 5*m. Factor f(z).
-3*z*(z - 2)
Let s(b) be the second derivative of -b**7/147 + 4*b**6/105 - 2*b**5/35 - b**4/21 + 5*b**3/21 - 2*b**2/7 + 7*b. What is r in s(r) = 0?
-1, 1, 2
Factor -97*v + 50*v**2 + 120 - 185*v**3 + 180*v**3 - 43*v.
-5*(v - 6)*(v - 2)**2
Let s(v) = -v**3 - 6*v**2 + v + 8. Let c(a) = -a**2 - 6*a + 1. Let m be c(-7). Let w be s(m). Let 5*l + 2*l**3 - 4*l**w - 3 - l**3 + 1 = 0. What is l?
1, 2
Let b(d) be the first derivative of 2*d**3/27 - 7*d**2/9 + 4*d/3 + 6. Solve b(t) = 0 for t.
1, 6
Let d(n) = n**2 - 5*n + 4. Let t be d(5). Let l(v) be the third derivative of v**2 + 1/60*v**t - 2/15*v**3 + 1/150*v**5 + 0*v + 0. Factor l(b).
2*(b - 1)*(b + 2)/5
Solve 20/7*k - 20/7*k**3 - 4/7*k**2 - 8/7 + 12/7*k**4 = 0.
-1, 2/3, 1
Let m be -1 - ((-2)/4 + (-18)/27). Suppose m*i + 0 + 2/3*i**3 + 5/6*i**2 = 0. Calculate i.
-1, -1/4, 0
Let i(u) be the second derivative of -u**6/90 - u**5/15 - 5*u**4/36 - u**3/9 - 22*u. Suppose i(g) = 0. What is g?
-2, -1, 0
Let n(h) be the second derivative of h + 0*h**3 + 2/15*h**6 + 0*h**2 - 1/10*h**5 - 1/21*h**7 + 0*h**4 + 0. Factor n(i).
-2*i**3*(i - 1)**2
Let t(f) be the third derivative of f**2 - 1/1365*f**7 + 0 - 1/780*f**6 - 2/39*f**3 + 0*f + 1/156*f**4 + 1/130*f**5. Let t(m) = 0. What is m?
-2, -1, 1
Let s(x) be the second derivative of 49/18*x**7 - 4/3*x**2 + 0 - 259/60*x**5 - 14/3*x**3 - 143/18*x**4 - 3*x + 49/15*x**6. Factor s(c).
(c - 1)*(c + 1)*(7*c + 2)**3/3
Let m(q) be the second derivative of -q**7/21 - q**6/5 - 3*q**5/10 - q**4/6 - 13*q. Factor m(u).
-2*u**2*(u + 1)**3
Let y(q) be the third derivative of -q**5/180 + q**3/18 + 11*q**2. Factor y(g).
-(g - 1)*(g + 1)/3
Let f(y) = -2*y - 4. Let z be f(4). Let o be (z/10)/((-27)/10). Suppose -14/9*x**5 + 2*x**3 - 10/9*x**4 + 0 + 10/9*x**2 - o*x = 0. What is x?
-1, 0, 2/7, 1
Find o such that 22*o**2 + 1546 - 84*o - 1558 + 25*o**2 - 2*o**2 = 0.
-2/15, 2
Let o be 41 + 3/1 - 0. Factor -6*n + o*n - 2*n + 27*n + 240*n**3 - 6 - 216*n**2.
3*(4*n - 1)**2*(5*n - 2)
Let c(m) be the first derivative of m**6/120 + m**5/10 + m**4/2 - 4*m**3/3 + 5. Let d(w) be the third derivative of c(w). Factor d(j).
3*(j + 2)**2
Let k(j) be the first derivative of -9*j**4/2 + 7*j**3 - 4*j**2 + j - 28. What is t in k(t) = 0?
1/3, 1/2
Let y = -13 + -62. Let z be ((-10)/y)/((-2)/(-6)). Let 0 + 1/5*c**2 - z*c + 3/5*c**3 = 0. What is c?
-1, 0, 2/3
Let c = 42/83 - 1/166. Solve 0*j - 1/2*j**2 + 0 - c*j**3 = 0.
-1, 0
Factor 0*a**2 + 0*a - 1/4*a**5 + 0*a**4 + 0 + 1/4*a**3.
-a**3*(a - 1)*(a + 1)/4
Let z(n) be the first derivative of n**2/2 + 13*n - 6. Let a be z(-11). Find d, given that -1/2*d**5 + d**a + 3/2*d - d**3 + 1/2 - 3/2*d**4 = 0.
-1, 1
Factor 4 - 10*p**2 + 27*p + 6 - 10*p - 12*p - 5*p**3.
-5*(p - 1)*(p + 1)*(p + 2)
Let c(p) = -p**3 + 6*p**2 + 9*p - 10. Let s be c(7). Factor 1/2*j**s + 1/2 + 3*j**2 - 2*j - 2*j**3.
(j - 1)**4/2
Let -4/7 - 2*t + 18/7*t**2 = 0. What is t?
-2/9, 1
Suppose -5*j + 20 = -2*w, -2*j - w - 2 = -1. Find t, given that -j*t**2 - 3*t**4 - 4*t**3 + 4*t**2 + 5*t**4 = 0.
0, 1
Let d(v) be the second derivative of 0*v**3 + 1/20*v**5 + 0 + 3/2*v**2 - 1/8*v**4 - 2*v. Let c(n) be the first derivative of d(n). Find o such that c(o) = 0.
0, 1
Let x(l) be the second derivative of -l**7/1260 - l**6/240 - l**5/120 + l**4/2 - 5*l. Let i(d) be the third derivative of x(d). Factor i(u).
-(u + 1)*(2*u + 1)
Let y be 7 + -9 + 15/6. Let -1/2*p + 1/2*p**2 + y*p**3 - 1/2 = 0. What is p?
-1, 1
Let t be (-306)/42 + 7 + 71/28. Factor -t + 3/2*b - 1/4*b**2.
-(b - 3)**2/4
Solve -12*f**2 + 28*f + 4*f**2 + 4*f**2 = 0 for f.
0, 7
Let i(r) = -r**5 + r**3 - r + 1. Let n(x) = 40*x**5 + 119*x**4 + 27*x**3 - 44*x**2 - x + 9. Let p(t) = 18*i(t) - 2*n(t). Solve p(k) = 0.
-2, -1, 0, 2/7
Let n(k) be the third derivative of 0*k + 0*k**3 + 3*k**2 - 1/72*k**8 + 0*k**4 - 2/135*k**5 + 0 + 4/135*k**6 - 1/945*k**7. Suppose n(g) = 0. What is g?
-1, 0, 2/7, 2/3
Let l(o) be the third derivative of o**7/1365 - o**5/195 + o**3/39 - 18*o**2. Solve l(q) = 0 for q.
-1, 1
Let 0 + 3/4*a**2 + 0*a + 3/4*a**4 + 3/2*a**3 = 0. Calculate a.
-1, 0
Let h = -196 + 196. Factor h - s - 7/2*s**2.
-s*(7*s + 2)/2
Let a be 260/300 - (-1)/(-5). Let o be ((-4)/30)/((-5)/50). Factor 0*p**4 - p - 1/3*p**5 + o*p**3 + a - 2/3*p**2.
-(p - 1)**3*(p + 1)*(p + 2)/3
Suppose -x + y + 8 = -y, 7 = 5*x + y. Determine p, given that -p**x + 0 - p**3 + p - 3 + 4 = 0.
-1, 1
Let m be (11/(-3))/(2/6). Let n(d) = d**2 - 8*d + 4. Let j(w) = -3*w**2 + 23*w - 12. Let c(o) = m*n(o) - 4*j(o). Find v such that c(v) = 0.
2
Let 4/5*a**3 - a**2 + 0 + 1/5*a = 0. Calculate a.
0, 1/4, 1
Suppose 5*b + 0*r = -2*r + 17, 3*b + 4*r - 13 = 0. Let k be ((-1)/b)/(2/(-3)). Factor -p**3 + 1/2*p**4 + 0 + 0*p + k*p**2.
p**2*(p - 1)**2/2
Let x(z) = -z**2 + z + 2. Suppose -5*h = 15, 3*h + 0*h = -4*y - 1. Let q be x(y). What is u in -4/5*u**2 + q - 2/5*u**3 - 2/5*u = 0?
-1, 0
Suppose -4*c = -2*c - 4. Let m be (-7)/(-2) - (-2)/4. Suppose -n**3 - n**4 - n**4 + n**5 + c*n**m = 0. Calculate n.
-1, 0, 1
Let v = 8 - 8. Let t be 3/(v - (-6)/8). Factor -2*f**4 - 2*f**2 + 2*f**5 - 4*f**2 + 4*f**2 + t*f**4 - 2*f**3.
2*f**2*(f - 1)*(f + 1)**2
Let l be 22/10 + 1/(-5). Factor 5*s - s - l*s + s**2.
s*(s + 2)
Let o(d) be the second derivative of -d**6/20 + 3*d**5/40 + d**4 - 3*d**3 - 8*d. Factor o(r).
-3*r*(r - 2)**2*(r + 3)/2
Factor -5*n**2 + 6*n - 5*n**2 + 6*n - 4*n**3 + 2*n**2.
-4*n*(n - 1)*(n + 3)
Let i be -2 - ((-4)/(-4))/(2/(-10)). Suppose 3/2*o**2 + 3/2*o + 1/2 + 1/2*o**i = 0. Calculate o.
-1
Let g = -63 - -44. Let o = g + 19. Factor o + 1/4*f - 1/2*f**4 + 1/2*f**2 - 1/4*f**3.
-f*(f - 1)*(f + 1)*(2*f + 1)/4
Let o(g) be the first derivative of -2*g**5/25 + g**4/10 + 2*g**3/5 - g**2 + 4*g/5 - 24. Factor o(t).
-2*(t - 1)**3*(t + 2)/5
Let x = -17 - -24. Determine v so that 1 + 2*v**2 + v**2 + x - 8*v - v**2 = 0.
2
Let j be -2*(0 + (-9)/(-6)). Let x(v) = -v**3 - 3*v**2 + 3. Let t be x(j). Find n such that -32/3*n**t + 13/3*n**4 + 4/3 + 37/3*n**2 - 20/3*n - 2/3*n**5 = 0.
1/2, 1, 2
Suppose 2*q - 6 = -0*q. Find n such that 13*n**q + 8*n - 5 - 30*n**2 - 3 - 2*n**4 + 20*n = 0.
1/2, 2
Suppose 2/11*x**2 + 6/11*x**4 - 24/11*x + 34/11*x**3 - 8/11 - 10/11*x**5 = 0. Calculate x.
-1, -2/5, 1, 2
Let a(v) = -v - 1. Let t(c) = c**3 - 7*c + 2. Let f(q) = -6*a(q) - 3*t(q). Factor f(n).
-3*n*(n - 3)*(n + 3)
Find q such that -2/5*q**3 - 6/5*q + 6/5*q**2 + 2/5 = 0.
1
Let h(t) be the first derivative of t**7/105 + t**6/60 - t**5/30 - t**4/12 - 3*t**2 - 5. Let p(f) be the second derivative of h(f). Factor p(u).
2*u*(u - 1)*(u + 1)**2
Factor 22*v**3 + 22*v**4 + 4*v**5 + 8 + 22*v - 4 + 46*v**2 + 24*v**3.
2*(v + 1)**3*(v + 2)*(2*v + 1)
Let x(q) be the second derivative of -q**7/3360 + q**6/1440 + q**5/480 - q**4/96 + q**3/2 - 5*q. Let d(z) be the second derivative of x(z). Factor d(i).
-(i - 1)**2*(i + 1)/4
Let l(p) be the third derivative of p**5/30 - p**4/4 + 2*p**3/3 - 21*p**2. Determine b, given that l(b) = 0.
1, 