1*l**2 + 10*l + 6. Let s(v) = -v**5 - v**4 + v**2 + v + 1. Let a(g) = c(g) - 6*s(g). Let a(x) = 0. What is x?
0, 1/2, 1, 4
Let q = 14 + -12. Factor -17*v + 1 - 6*v**2 + 7*v + 0*v**3 - 5 + 2*v**4 + q*v**3.
2*(v - 2)*(v + 1)**3
Let c(x) = 3*x**3 + 9*x**2 + 11*x + 5. Let t(v) = 21*v**3 + 63*v**2 + 78*v + 36. Let s(b) = -15*c(b) + 2*t(b). Factor s(m).
-3*(m + 1)**3
Let q be ((-45)/(-6))/((-1)/8). Let f be ((-96)/q)/((-4)/(-10)). Factor -1/2*t**5 + 3*t**f - 7*t**3 - 9/2*t + 1 + 8*t**2.
-(t - 2)*(t - 1)**4/2
Let y(i) be the second derivative of 2*i**5/45 - i**4/54 - 4*i**3/27 + i**2/9 - 7*i. Find w, given that y(w) = 0.
-1, 1/4, 1
Let p(v) be the first derivative of -v**6/540 - v**5/54 - 2*v**4/27 - 4*v**3/27 + 3*v**2/2 - 4. Let d(q) be the second derivative of p(q). Factor d(u).
-2*(u + 1)*(u + 2)**2/9
Suppose -2*p - 2*p = -8. Solve -o**3 + 10*o**p - o**3 + 2*o**4 - 4*o - 6*o**3 + 0*o**2 = 0.
0, 1, 2
Let c = -2/283 + 2274/1415. Find i, given that -2/5*i**2 - c - 8/5*i = 0.
-2
Let n be 1/(-6)*(9 - 10). Let t(h) be the first derivative of 0*h - n*h**2 + 1 - 1/18*h**3 + 1/24*h**4. Factor t(z).
z*(z - 2)*(z + 1)/6
Let t = 47 + -44. Solve 18/7*p**5 + 0 - 2*p**2 + 2*p**4 + 4/7*p - 22/7*p**t = 0 for p.
-1, 0, 2/9, 1
Let l(a) = a + 2. Let n be l(0). Let x be (-3)/1 - (-3 + 12/(-66)). Factor x*v + 0 - 8/11*v**n.
-2*v*(4*v - 1)/11
Let b(v) be the third derivative of v**6/300 - v**5/15 - 11*v**4/60 + 2*v**2 - 41*v. Let b(a) = 0. What is a?
-1, 0, 11
Suppose x + 4*n = -3*x - 16, 0 = 5*n + 25. What is y in -x + 4*y**3 - 7 + 3*y**2 + y - 5*y**3 + 5 = 0?
-1, 1, 3
Let f be 34/120 - 1/4. Let h(x) be the third derivative of x**2 - f*x**5 + 0 + 1/3*x**3 + 0*x + 0*x**4. Suppose h(j) = 0. Calculate j.
-1, 1
Determine q, given that -q**2 - 6 - 60*q - 6 + 74*q - q**2 = 0.
1, 6
Let x(i) be the first derivative of i**6/120 - i**4/16 - i**3/12 + 6*i - 6. Let g(o) be the first derivative of x(o). Factor g(z).
z*(z - 2)*(z + 1)**2/4
Let m(t) be the third derivative of -2*t**7/105 - t**6/5 - 13*t**5/15 - 2*t**4 - 8*t**3/3 - 14*t**2. Determine b so that m(b) = 0.
-2, -1
Let i(f) be the third derivative of 0*f**3 + 4*f**2 - 7/120*f**6 + 1/5*f**5 + 0 + 1/6*f**4 + 0*f. Factor i(t).
-t*(t - 2)*(7*t + 2)
Let z(m) = -18*m + 2. Let x be z(-2). Let a be 6/(-27) + x/90. Factor -a + 0*v + 1/5*v**2.
(v - 1)*(v + 1)/5
Let j = 10 + -11. Let s be (-4 - j) + (-22)/(-6). Factor -4/3*f + s + 2/3*f**2.
2*(f - 1)**2/3
Let c(b) = -4*b. Let d be c(0). Let k(q) = -q - 2. Let o be k(-2). Let d*g**3 + 2/5*g**4 - 2/5*g**2 + o*g + 0 = 0. Calculate g.
-1, 0, 1
Let l = -195 + 195. What is q in 1/3*q + l + 1/3*q**3 + 2/3*q**2 = 0?
-1, 0
Let 0 + 0*i - 5/2*i**5 - 45/2*i**3 + 25*i**4 + 0*i**2 = 0. What is i?
0, 1, 9
Let z be -1 - 1 - (-36)/15. Let j = -766/5 - -154. Factor j*f - 2/5*f**2 - z.
-2*(f - 1)**2/5
Find x, given that -51/7*x**2 - 12/7 + 9*x**4 - 12/7*x**5 - 51/7*x**3 + 9*x = 0.
-1, 1/4, 1, 4
Let q(v) be the third derivative of v**8/2688 + v**7/420 - v**6/320 - 7*v**5/240 - v**4/24 - 60*v**2. Factor q(d).
d*(d - 2)*(d + 1)**2*(d + 4)/8
Suppose 1 = 5*k - 9. Factor -f - 1 + 3 + 3*f**2 - 3*f**k - f**2.
-(f - 1)*(f + 2)
Let j(g) = 5*g**2 - 20*g + 31. Let t(u) = -u**2 + 4*u - 6. Let f(z) = -2*j(z) - 11*t(z). Factor f(l).
(l - 2)**2
Let x be (-7)/(-3)*4/7. Let y(l) be the first derivative of 5/8*l**4 + l - x*l**3 + 3 + 1/4*l**2. Factor y(m).
(m - 1)**2*(5*m + 2)/2
Let c(h) be the first derivative of h**7/168 + h**6/120 - h**5/40 - h**4/24 + h**3/24 + h**2/8 + h + 2. Let d(z) be the first derivative of c(z). Factor d(w).
(w - 1)**2*(w + 1)**3/4
Let k(w) be the second derivative of -w**4/12 + w**3/2 - 4*w. Solve k(v) = 0 for v.
0, 3
Let n(z) be the second derivative of -z**4/3 + 4*z**3 + 23*z. Find q such that n(q) = 0.
0, 6
Let c be (-36)/96*(0 - 0 - 4). Factor -3/2*p**3 + 0 + c*p**4 + 0*p + 3/2*p**5 - 3/2*p**2.
3*p**2*(p - 1)*(p + 1)**2/2
Let v(l) be the second derivative of l**6/60 - l**5/20 + l**3/6 - l**2/4 - 7*l. Factor v(k).
(k - 1)**3*(k + 1)/2
Let d = 2 - -1. Factor 3*h**2 + 3*h + d*h + 2*h**2 - 2*h**2 + 3.
3*(h + 1)**2
Let g(o) be the first derivative of -1/20*o**5 - 4 + 1/8*o**4 + 1/120*o**6 - o**3 + 0*o**2 + 0*o. Let n(z) be the third derivative of g(z). Factor n(i).
3*(i - 1)**2
Let h(b) be the second derivative of -b**8/10080 - b**7/7560 + b**6/2160 + b**4/3 - 4*b. Let u(f) be the third derivative of h(f). Factor u(r).
-r*(r + 1)*(2*r - 1)/3
Let y(u) be the second derivative of u**6/60 - u**4/12 + 3*u**2/2 + 7*u. Let g(s) be the first derivative of y(s). Solve g(k) = 0.
-1, 0, 1
Suppose 4*y**3 + 2*y**5 - 2*y**3 + 38*y**4 - 42*y**4 = 0. Calculate y.
0, 1
Factor 2*n**2 + 7 + 2 + n - n**3 - 11.
-(n - 2)*(n - 1)*(n + 1)
Let m = 41 + -39. Determine q so that -1/3*q**3 + 1/3*q**5 + 0 + 1/3*q**m + 0*q - 1/3*q**4 = 0.
-1, 0, 1
Suppose p + 5*g = 15, -4*p = -4*g - 13 + 1. Suppose -5*m + 2*i + 8 = 0, 3*m - 2*i = 3*i + 20. Factor 0 + 0*r + 4/5*r**2 + 6/5*r**3 + m*r**4 - 2/5*r**p.
-2*r**2*(r - 2)*(r + 1)**2/5
Let m(q) be the third derivative of -q**5/60 - 3*q**4/8 - 4*q**2. Let x be m(-9). Factor 0 - 2/3*i**2 - 2*i**4 + 2*i**3 + x*i + 2/3*i**5.
2*i**2*(i - 1)**3/3
Let k(s) = -s**4 + s**2 - s - 1. Let b(w) = 3*w**5 - 10*w**4 + 15*w**3 - 8*w**2 + 2*w + 2. Let p be -2 + 0 + (-2)/(-2). Let j(h) = p*b(h) - 2*k(h). Factor j(d).
-3*d**2*(d - 2)*(d - 1)**2
Let a(m) be the first derivative of 2*m**5/15 - m**4/3 + 2*m**3/9 - 2. Factor a(v).
2*v**2*(v - 1)**2/3
Factor 3/2*u**5 - 3/2*u + 3*u**4 - 3*u**2 + 0*u**3 + 0.
3*u*(u - 1)*(u + 1)**3/2
Let q(d) be the second derivative of -5*d**7/14 - 25*d**6/18 - d**5 + 5*d**4/9 - 59*d. Suppose q(n) = 0. What is n?
-2, -1, 0, 2/9
Suppose 5*y - 7 = 8. Suppose -3*z = y, 3*n - 2*z = -0*z + 35. Suppose -10*x**2 + n*x**2 + 0 - 2 - x = 0. Calculate x.
-1, 2
Factor -1/4*g**2 - 25/4 - 5/2*g.
-(g + 5)**2/4
Let q(i) be the third derivative of -i**8/2688 + i**6/320 + i**5/240 - 8*i**2. Factor q(z).
-z**2*(z - 2)*(z + 1)**2/8
Let d(j) = -j**3 + 9*j**2 - 19*j + 39. Let y be d(7). Factor 2/17*s**3 - 2/17*s**2 + 2/17*s**y + 0 - 2/17*s.
2*s*(s - 1)*(s + 1)**2/17
Let o = -21 + 23. Let w(x) be the second derivative of 0 - 1/60*x**5 + 1/90*x**6 + 0*x**2 + o*x + 1/18*x**3 - 1/36*x**4. Determine g so that w(g) = 0.
-1, 0, 1
Determine q so that -8/3*q - 2/3*q**2 - 8/3 = 0.
-2
Let m be 0 + 7/((-42)/(-4)). Let n be 4 - 2 - (-2 - -1). Factor m*r**n + 2*r + 2/3 + 2*r**2.
2*(r + 1)**3/3
Let m(n) be the second derivative of n**5/5 + 2*n**4/3 - 2*n**3 + 27*n. Factor m(s).
4*s*(s - 1)*(s + 3)
Solve -6*i - 8 - 2*i**2 + 6*i**2 - 2*i**2 = 0.
-1, 4
Let -1/5*j**5 + 0*j**3 + 4/5*j**4 - 2*j**2 + 1/5*j + 6/5 = 0. Calculate j.
-1, 1, 2, 3
Let b(a) = 14*a**2 + 20*a + 17. Let t(r) = -r**2 + 0*r**2 + 7*r + 6*r**2 + 6. Suppose -2*y + 11 = -y. Let q(h) = y*t(h) - 4*b(h). Find w, given that q(w) = 0.
-2, -1
Let p(b) be the third derivative of -b**6/1800 + b**5/100 - 3*b**4/40 - 5*b**3/6 - 3*b**2. Let y(i) be the first derivative of p(i). Factor y(v).
-(v - 3)**2/5
Let k(b) be the third derivative of -1/21*b**3 + 1/105*b**5 - 1/210*b**6 + 1/84*b**4 + 1/1176*b**8 + 0 - 1/735*b**7 - 8*b**2 + 0*b. Factor k(c).
2*(c - 1)**3*(c + 1)**2/7
Let x(m) = 3*m**2 - 16*m + 12. Let r(h) = 24*h**2 - 129*h + 96. Let p(w) = -4*r(w) + 33*x(w). Suppose p(f) = 0. Calculate f.
2
Let p(s) be the third derivative of -s**7/385 + s**6/330 + s**5/330 - 9*s**2. Factor p(v).
-2*v**2*(v - 1)*(3*v + 1)/11
Suppose 0 = 4*v + 4*q - 44, -3*v - 5*q + 58 = 15. Let r = 9 - v. Factor 4*j**2 - 2*j**2 + 0*j**2 - r*j**2.
-j**2
Let n(h) be the second derivative of h**6/330 - h**4/44 - h**3/33 + 22*h. Factor n(f).
f*(f - 2)*(f + 1)**2/11
Let a(w) be the first derivative of w**5/10 - w**4/6 - 2*w**3/3 + w - 1. Let m(g) be the first derivative of a(g). Find t such that m(t) = 0.
-1, 0, 2
Let u(q) = 2*q + 6. Let n be u(-3). Factor 0 + n*p + 2/5*p**2.
2*p**2/5
Let c(b) be the third derivative of b**7/1050 + b**6/300 - b**5/300 - b**4/60 - 21*b**2. Factor c(s).
s*(s - 1)*(s + 1)*(s + 2)/5
Let i be (0/(-15))/(-4 + 1). Let r(l) be the third derivative of 0 - 1/50*l**5 - 1/120*l**4 + 2*l**2 + 1/30*l**3 + i*l. Factor r(g).
-(2*g + 1)*(3*g - 1)/5
Suppose 3/4*o - 1/2 - 1/4*o**2 = 0. Calculate o.
1, 2
Let d(g) be the first derivative of g**4/16 + g**3/12 - g**2/8 - g/4 - 7.