0. Calculate y.
-1, 0, 1/5, 1
Let d(f) = -f**4 + 3*f**2 - 2. Let u(p) = -2*p**4 + 9*p**2 - 7. Let o = -5 + -2. Let h(q) = o*d(q) + 2*u(q). Determine r so that h(r) = 0.
-1, 0, 1
Suppose -19*o + 35*o = 32. Let w(t) = -t - 2. Let g be w(-2). Factor 0*q + g - 1/6*q**3 - 1/3*q**o.
-q**2*(q + 2)/6
Let g(t) = t**2 + 5*t - 3. Let q(v) = v**2 + 5*v - 2. Let s(w) = -4*g(w) + 3*q(w). Factor s(f).
-(f - 1)*(f + 6)
Let v(t) be the third derivative of -t**6/660 + t**5/165 + t**4/132 - 2*t**3/33 - 26*t**2. Factor v(i).
-2*(i - 2)*(i - 1)*(i + 1)/11
Factor 1/2 - 1/4*n**2 + 1/4*n.
-(n - 2)*(n + 1)/4
Let l(p) be the first derivative of 1/9*p**4 - 4 - 2/9*p - 4/27*p**3 - 1/3*p**2 + 2/15*p**5 + 1/27*p**6. Factor l(d).
2*(d - 1)*(d + 1)**4/9
Let u(w) be the second derivative of 1/21*w**7 + w**2 + 0 + 1/5*w**5 + 1/3*w**4 - 3*w - w**3 - 1/5*w**6. Factor u(b).
2*(b - 1)**4*(b + 1)
Let c be 2/4 - (-3)/(-2). Let l be c - (-2 - (1 + -2)). Factor l*o**3 - o**4 - o**3 + 2*o**2 - o**3 + o**5 - 1 + o.
(o - 1)**3*(o + 1)**2
Factor 19*s**2 + 12 + 2*s**2 + 5*s + 31*s + 6*s**2.
3*(3*s + 2)**2
Let w(p) be the third derivative of -p**5/30 + p**3/3 - 8*p**2. Let w(v) = 0. Calculate v.
-1, 1
Suppose 3 + s**2 - 3 - 1 + 0 = 0. What is s?
-1, 1
Let s(f) = -f**2 - f. Let w be s(-4). Let m be (2/2)/((-4)/w). Find v such that 3/4*v**2 + 1/4 - 1/4*v**m - 3/4*v = 0.
1
Let w(r) = -r - 1. Let d be w(-7). Let -2 - 10*z + 1 - 3*z**2 + z - z**3 + d*z = 0. What is z?
-1
Let q = -29 + 50. Let k = 24 - q. What is h in -2/5*h**2 + 0 + 1/5*h + 1/5*h**k = 0?
0, 1
Factor 0*b + 0 + 3/5*b**3 + 0*b**2.
3*b**3/5
Suppose 0 = 2*o - 5*o - 39. Let x be o/(-21) - (-2)/(-6). Let -8/7*d**3 + x + 2/7*d**4 + 12/7*d**2 - 8/7*d = 0. What is d?
1
Let f(l) = l**2 + 15*l - 13. Let g be f(-16). Let 1/2*h**g - 1/2*h + 0 + 0*h**2 = 0. What is h?
-1, 0, 1
Let q(f) be the second derivative of f**4/4 + 5*f**3/6 - 4*f**2 + f. Let t(x) = -x**2 - 2*x + 3. Let o(y) = 4*q(y) + 11*t(y). Factor o(v).
(v - 1)**2
Let w = 15 + -16. Let z(n) = 6*n**2 - 10. Let q(x) = -x**2 - x + 1. Let f(i) = w*z(i) - 4*q(i). Factor f(r).
-2*(r - 3)*(r + 1)
Determine g, given that 29*g**4 - 5*g**5 - 19*g**4 - 15*g**4 = 0.
-1, 0
Let p = 44 + -42. Let x(a) be the second derivative of a + 0*a**5 + 0*a**4 + 1/63*a**7 - 1/45*a**6 + 0*a**3 + 0*a**p + 0. Solve x(m) = 0.
0, 1
Factor 24*b**3 - 14*b**2 + 9*b**4 + 15*b - 51*b + 6*b**3 - 12 + 23*b**2.
3*(b - 1)*(b + 2)**2*(3*b + 1)
Let y(i) be the first derivative of -5/3*i**2 + 2/3*i**4 + 6 - 4/9*i**3 - 4/3*i + 1/9*i**6 + 8/15*i**5. Determine n so that y(n) = 0.
-2, -1, 1
Let j(a) be the second derivative of -a**4/84 - a**3/3 - 7*a**2/2 + a. Let j(w) = 0. Calculate w.
-7
Suppose -3*b = -b - 4. Let p be (4 + -1)*2/6. Factor -p - 3*d**4 + 0*d**3 + b*d**3 - 20*d**5 + 18*d**5 + 4*d**2.
-(d - 1)*(d + 1)**3*(2*d - 1)
Let r(g) be the first derivative of -g**4 + 4*g**3 - 6*g**2 + 4*g + 1. Factor r(p).
-4*(p - 1)**3
Suppose 4*q - s + 2*s = 6, -q + 3*s = -8. Find f, given that 1/4*f**q - 2*f + 4 = 0.
4
Let g(f) be the third derivative of -f**5/60 + f**4/12 + 7*f**2. Suppose g(x) = 0. Calculate x.
0, 2
Let j(i) be the second derivative of -i**5/30 - 7*i**4/18 - 2*i**3/3 + 27*i. Factor j(v).
-2*v*(v + 1)*(v + 6)/3
Factor -219/2*o + 15/2*o**2 - 45.
3*(o - 15)*(5*o + 2)/2
Let v(l) be the second derivative of 0 - 5*l + 0*l**2 - 1/4*l**4 + 0*l**3 + 3/20*l**5. Let v(c) = 0. What is c?
0, 1
Let c be ((-2)/(-24)*2)/((-22)/(-66)). Factor -c*g**2 + 0 + 0*g.
-g**2/2
Suppose -3*g - 40 + 16 = 0. Let s be 20/g*(-2)/10. Factor w**3 + 0*w**2 + 0 - 1/2*w**5 - s*w + 0*w**4.
-w*(w - 1)**2*(w + 1)**2/2
Let n(z) be the second derivative of -6/25*z**5 - 9/70*z**7 + 3/10*z**6 + 0*z**3 + 1/15*z**4 + 0 + 6*z + 0*z**2. Factor n(y).
-y**2*(3*y - 2)**2*(3*y - 1)/5
Let d(o) be the third derivative of o**6/600 - 11*o**5/100 + 121*o**4/40 - 1331*o**3/30 + 2*o**2 + 21*o. Solve d(n) = 0.
11
Determine c, given that -1/4*c + 0 - 1/4*c**2 = 0.
-1, 0
Let w(z) be the first derivative of 2*z**3 + 1 - 3/2*z**2 - 3/4*z**4 + 0*z. Suppose w(l) = 0. Calculate l.
0, 1
Let x(j) be the third derivative of -j**5/330 + j**4/66 - j**2. Let x(s) = 0. What is s?
0, 2
Let d(r) = r**2 + 5*r - 4. Let t be d(-6). Let m be (-2 - (-4 + 2)) + t. Determine c, given that 5*c**2 + c**3 - c**m + 13*c**3 = 0.
-2/7, 0
Let f(a) be the third derivative of -2*a**2 + 1/540*a**6 + 1/45*a**5 + 0*a + 0 + 1/9*a**4 + 8/27*a**3. Factor f(m).
2*(m + 2)**3/9
Let q(d) = d - 1. Let u = -16 + 10. Let p(a) = 2*a**2 + 5*a - 7. Let j(z) = u*q(z) + 2*p(z). Solve j(v) = 0.
-2, 1
Factor 12 + 42*t + 15/2*t**3 + 33*t**2.
3*(t + 2)**2*(5*t + 2)/2
Let x be (-6)/((12/15)/2). Let g = 46/3 + x. Factor 0 - 1/3*m - g*m**3 - 2/3*m**2.
-m*(m + 1)**2/3
Let z(t) be the first derivative of 0*t**3 - 1/10*t**2 + 1/20*t**4 + 0*t - 2. Factor z(l).
l*(l - 1)*(l + 1)/5
Let t = 2/33 - -3/11. Factor 2/3*g + t*g**2 + 1/3.
(g + 1)**2/3
Let f(z) be the first derivative of 2*z**3/33 - 2*z**2/11 + 2*z/11 - 4. Find x such that f(x) = 0.
1
Let b(n) be the first derivative of -1/5*n + 2/15*n**3 + 0*n**2 - 3 + 0*n**4 - 1/25*n**5. Solve b(o) = 0.
-1, 1
Let s be (4 + (1 - 1))*3/6. Factor 0 - 2/5*i + 2/5*i**s.
2*i*(i - 1)/5
What is y in y**2 + 4*y**2 + 20*y - 107 + 107 = 0?
-4, 0
Suppose 0 = -5*s + 53 + 52. Let n be 2*1*s/14. Factor 2/11 + 2/11*c**4 - 8/11*c + 12/11*c**2 - 8/11*c**n.
2*(c - 1)**4/11
Let f be (-2)/(3/(-33) + 0). Let m = f + -20. Factor -2/7*s**m + 4/7*s + 0.
-2*s*(s - 2)/7
Let i(a) be the third derivative of a**5/420 - a**4/168 + 5*a**2. Determine p so that i(p) = 0.
0, 1
Determine s so that -32*s + 92*s**2 - 1704 - 3*s**3 + 27*s**3 + 1640 - 36*s**4 = 0.
-1, 4/3
Let o(x) be the second derivative of -x**7/21 + 4*x**6/5 - 24*x**5/5 + 32*x**4/3 - 20*x. Factor o(t).
-2*t**2*(t - 4)**3
Let r = -245 + 248. Factor -24/7*l**2 - 18/7*l**r + 0 - 8/7*l.
-2*l*(3*l + 2)**2/7
Let p = 4 + -1. Factor f**2 - 2*f + 2*f**2 + 4*f + f**2 + 2*f**p.
2*f*(f + 1)**2
Suppose -5*s - 8 = -7*s. Let z be (2 - 0)/s*1. Let 0 - 1/4*r**3 + z*r**2 - 1/4*r = 0. What is r?
0, 1
Let a(l) = -2*l**5 - 10*l**4 - 28*l**3 - 4*l**2 - 4*l + 10. Let r(h) = -h**3 + h**2 + 1. Let g(s) = a(s) - 10*r(s). Determine q, given that g(q) = 0.
-2, -1, 0
Let g(n) be the third derivative of n**7/630 - 2*n**5/15 + 5*n**4/24 + 6*n**2. Let z(h) be the second derivative of g(h). Factor z(v).
4*(v - 2)*(v + 2)
Let g(m) be the third derivative of m**7/630 + m**6/72 + 2*m**5/45 + m**4/18 - 12*m**2. Factor g(b).
b*(b + 1)*(b + 2)**2/3
Suppose 5*v - 3 - 12 = 0. Let y(s) be the second derivative of -1/15*s**4 - s + 1/75*s**6 + 1/5*s**2 + 0*s**v + 0 + 0*s**5. Suppose y(o) = 0. Calculate o.
-1, 1
Suppose 0 = -4*a + 43 - 35. Let m(l) be the first derivative of -l + 1/3*l**3 - 4 + 0*l**a. Factor m(b).
(b - 1)*(b + 1)
Let q(t) be the third derivative of -t**10/15120 + t**9/11340 + t**8/10080 + t**4/8 + 2*t**2. Let v(s) be the second derivative of q(s). Factor v(h).
-2*h**3*(h - 1)*(3*h + 1)/3
Factor -3/8*d**5 - 3/8*d**4 + 0 + 3/8*d**2 + 3/8*d**3 + 0*d.
-3*d**2*(d - 1)*(d + 1)**2/8
Let n = 2 - -2. Let q be (-20)/15*(-6)/n. Solve -3*d**2 + 3*d**3 - 4*d - 3*d**5 + 0*d**3 + 2*d**4 + q*d**5 - d**2 = 0 for d.
-1, 0, 2
Suppose -3*g + 37*m - 42*m - 9 = 0, 5*g + 2*m - 4 = 0. Let 2/5*c - 2/5*c**3 - 2/5 + 2/5*c**g = 0. What is c?
-1, 1
Let p(b) be the first derivative of b**4/4 - 3*b**3 + 15*b**2/2 - 7*b - 7. Factor p(s).
(s - 7)*(s - 1)**2
Let p(f) be the third derivative of -f**7/210 + f**6/40 + f**5/20 - 7*f**4/24 - f**3 - 41*f**2. Let p(z) = 0. Calculate z.
-1, 2, 3
Let a(s) be the third derivative of s**5/150 - 13*s**4/60 - 14*s**3/15 + 4*s**2 - 2*s. Let a(h) = 0. What is h?
-1, 14
Let k be 4/(-6)*(-21)/2. Suppose 0 = -k*m + 4*m. Find z, given that -4*z**2 - 6*z**4 + m*z**4 + 0*z**2 - 10*z**3 = 0.
-1, -2/3, 0
Let u(a) be the first derivative of a**5/25 + 3*a**4/20 - 2*a**2/5 + 22. Factor u(r).
r*(r - 1)*(r + 2)**2/5
Suppose j + 15 = 15. Solve 2/5*a - 2/5*a**2 + j = 0.
0, 1
Let f(y) be the third derivative of -y**5/30 - y**4/4 - 2*y**3/3 + 4*y**2. Factor f(m).
-2*(m + 1)*(m + 2)
Suppose 25*m = 28*m - 6. Factor 0*j**m + 0 + 1/4*j**3 - 1/4*j.
j*(j - 1)*(j + 1)/4
Let x(a) = 2*a**3 - 3*a**2 - 5*a - 7. Let c(f) = -f**3 + 2*f**2 + 3*f + 4. Let w(o) = 7*c(o) + 4*x(o). Factor w(g).
g*(g + 1)**2
Let w(x) be