2/3*f**t + 0 = 0?
0, 1
Factor y**3 + y**4 + 0*y**4 - y**3.
y**4
Suppose -3*o - o = 0. Suppose o - 1 = -j. Factor -j + 0*c**2 + 3*c**2 - c**2 - c**2.
(c - 1)*(c + 1)
Let u(c) be the first derivative of c**7/210 + 3*c**6/100 + 17*c**5/300 - 2*c**3/15 + c**2/2 - 2. Let p(w) be the second derivative of u(w). Factor p(n).
(n + 1)**2*(n + 2)*(5*n - 2)/5
Let o(q) be the third derivative of -q**5/30 + q**3/3 + 7*q**2. Factor o(t).
-2*(t - 1)*(t + 1)
Let q(x) = x**4 - x**2 - x + 1. Let i(a) = -12*a**4 - 6*a**3 + 9*a**2 + 9*a - 9. Let d(m) = -i(m) - 9*q(m). Factor d(c).
3*c**3*(c + 2)
Let f(c) = c**2 - 2*c. Let x be f(2). Let z(t) be the second derivative of 0*t**3 + 1/15*t**6 + x - 2*t + 0*t**4 + 1/10*t**5 + 0*t**2. Let z(l) = 0. What is l?
-1, 0
Suppose 10 = 4*z + 5*u, z - u = 5*z - 2. Factor z*w**2 - 4/5*w**4 + 2/5*w**3 + 0*w + 0 - 6/5*w**5.
-2*w**3*(w + 1)*(3*w - 1)/5
Let v = 138 - 688/5. Solve 0*o**3 + 0*o + v*o**2 + 0 - 2/5*o**4 = 0 for o.
-1, 0, 1
Let o(g) be the third derivative of -1/30*g**4 + 0*g**3 - g**2 + 0*g - 1/150*g**5 + 0. Suppose o(u) = 0. Calculate u.
-2, 0
Let o be 2/(-2)*(1 + -2). Suppose 5*l + o = 11. Factor -l*b + 2*b**3 + b**4 + 0*b**3 + b**4 - 2*b**2.
2*b*(b - 1)*(b + 1)**2
Let k(x) = 36*x**3 - 32*x**2 + 16*x - 20. Let o(d) = -d**3 + d**2 - d + 1. Let t(z) = -k(z) - 20*o(z). Let t(p) = 0. Calculate p.
-1/4, 0, 1
Let b(q) be the second derivative of q**4/72 - q**2/12 + 7*q. Suppose b(y) = 0. Calculate y.
-1, 1
Let w be ((-4)/12)/(3/(-18)). Solve 0 - 1/2*a - 1/4*a**w = 0 for a.
-2, 0
Suppose 0*n = -2*n - 4*a, 3*a = 5*n. Factor n - 2/5*x**2 - 2/5*x.
-2*x*(x + 1)/5
Let s(i) = -i**4 - i**3 - i**2 + i + 1. Let n(h) = 4*h**4 - 13*h**3 + 99*h**2 - 259*h + 253. Let u(f) = 5*n(f) + 15*s(f). Factor u(g).
5*(g - 4)**4
Suppose -z + 85 = 82. Suppose -z*q**4 + 0 + 9/2*q**5 + 0*q - 5/2*q**3 + q**2 = 0. What is q?
-2/3, 0, 1/3, 1
Let i(m) be the third derivative of m**9/181440 - m**8/60480 - m**7/15120 + m**6/2160 + m**5/30 + 3*m**2. Let s(u) be the third derivative of i(u). Factor s(a).
(a - 1)**2*(a + 1)/3
Let f(m) be the first derivative of 3 - 4/3*m**3 + 2/5*m**5 + m**4 + 2*m - m**2 - 1/3*m**6. Solve f(v) = 0.
-1, 1
Let h(a) be the second derivative of a**4/138 + 5*a**3/69 - 6*a**2/23 - 31*a. Find d such that h(d) = 0.
-6, 1
Suppose -3*b = -5*b. Factor -q + q**4 - 3*q**2 + 1 + 1 + b + q**3.
(q - 1)**2*(q + 1)*(q + 2)
Let f(q) be the first derivative of 7*q**5/3 + 20*q**4/3 + 55*q**3/9 + 5*q**2/3 - 29. Let f(l) = 0. Calculate l.
-1, -2/7, 0
Let i(a) = -7*a**3 - 12*a**2 + 13*a - 9. Let f(s) be the first derivative of -s**2/2 + s + 2. Let q(h) = 18*f(h) + 2*i(h). Let q(g) = 0. Calculate g.
-2, 0, 2/7
Let b(x) = 7*x**4 + 6*x**3 + 7*x**2 - 6*x - 4. Let y(n) = -8*n**4 - 6*n**3 - 8*n**2 + 6*n + 4. Let l(h) = -6*b(h) - 5*y(h). Find a, given that l(a) = 0.
-2, -1, 1
Solve 2 - 3*a**3 - 5*a**2 - 2 - 3*a + 11*a**2 = 0 for a.
0, 1
Suppose -29 = -2*z - z - 2*u, -3*z = 4*u - 37. Suppose -z = -3*i - 1. Factor 1/4 - 1/4*x**i + 0*x.
-(x - 1)*(x + 1)/4
Let u(y) be the third derivative of y**5/30 - 5*y**4/24 + y**3/3 + y**2. Let u(n) = 0. Calculate n.
1/2, 2
Let i be (3 + 1)/(1 + 1). Solve 2*q - 2*q**4 - q**2 - 5*q**i + 6*q**3 - 4*q + 4*q = 0.
0, 1
Let l be 1/(6/(-16)) - (0 + -3). Find z such that l + 1/3*z**2 - 2/3*z = 0.
1
Let x be 3/15 - (-21)/20 - 1. Let z(d) be the first derivative of -x*d**4 + 0*d**2 + 0*d**3 + 0*d + 2/5*d**5 - 1/6*d**6 - 1. Factor z(l).
-l**3*(l - 1)**2
Factor -4*n**4 + 9*n**5 - 12*n**2 - 3*n**2 + 19*n**4 - 5*n**3 + 4.
(n + 1)**3*(3*n - 2)**2
Let l = 19/78 + -1/13. Let q(o) be the third derivative of 0 + 1/3*o**3 + 3*o**2 - l*o**4 + 1/30*o**5 + 0*o. Determine j so that q(j) = 0.
1
Let j(x) be the second derivative of 0*x**3 + 3*x - 1/40*x**5 + 0*x**2 + 0 + 0*x**4 + 0*x**6 + 1/84*x**7. Suppose j(n) = 0. What is n?
-1, 0, 1
Let n(k) be the second derivative of 0 + 5*k + 1/3*k**3 - 1/3*k**4 + 1/10*k**5 + 0*k**2. Suppose n(o) = 0. Calculate o.
0, 1
Suppose 2*g = 4 - 0. What is b in -g + 0*b**2 + 3 - b**2 = 0?
-1, 1
Let v(r) be the second derivative of -2*r**6/15 - 3*r**5/5 - r**4/3 + 2*r**3 + 4*r**2 - r. Factor v(k).
-4*(k - 1)*(k + 1)**2*(k + 2)
Factor -5*y**3 - 21*y**4 - 6*y**5 + 12*y**2 - 10*y**3 + 3*y**3.
-3*y**2*(y + 2)**2*(2*y - 1)
Solve 5*w**2 + 4*w**2 - 6*w**2 - 12 = 0 for w.
-2, 2
Let m(h) be the first derivative of -h**3/3 - 4*h**2 - 16*h + 2. Find n such that m(n) = 0.
-4
Let q(b) be the third derivative of -1/210*b**6 + 4*b**2 + 1/21*b**4 + 0 - 1/70*b**5 + 4/21*b**3 + 1/735*b**7 + 0*b. Factor q(r).
2*(r - 2)**2*(r + 1)**2/7
Let z(m) = 1 - m + 0*m - 3*m**2 + 0*m - m**3. Let u be z(-3). Factor 2*v**2 - 3*v**3 - 3*v**2 + u*v**3.
v**2*(v - 1)
Let i be (-92)/22 - (-2)/11. Let a be 2/i*(-18 + 4). Find x such that -2*x - a*x**2 - x**2 - 4*x**2 + 4*x**2 = 0.
-1/4, 0
Let m = 2 + 1. Let p be -6*8/(-126)*3. Factor 0 - 10/7*y**2 - p*y**m - 2/7*y.
-2*y*(y + 1)*(4*y + 1)/7
Let w(k) = -k**2 + 23*k - 20. Let a be w(22). Let u be 2/(-3) + 1 + 0. Factor u*i - 1/3*i**a + 1/3 - 1/3*i**3.
-(i - 1)*(i + 1)**2/3
Let b(c) be the third derivative of 1/135*c**5 - 1/180*c**6 + 6*c**2 - 1/216*c**8 + 0*c + 0 + 0*c**4 - 4/315*c**7 + 0*c**3. Let b(x) = 0. Calculate x.
-1, 0, 2/7
Let k(j) be the second derivative of -1/6*j**3 - 1/30*j**6 - 1/2*j**2 + 1/10*j**5 + 1/6*j**4 - 1/42*j**7 + 0 - 4*j. Factor k(u).
-(u - 1)**2*(u + 1)**3
Let r(b) = -b**3 - 12*b**2 - b - 10. Let y be r(-12). Let g be y/4 + (-6)/60. Factor -4/5*l**2 + g*l + 2/5.
-2*(l - 1)*(2*l + 1)/5
Factor 2*a - 10/3*a**2 + 2/3*a**3 + 2/3*a**4 + 0.
2*a*(a - 1)**2*(a + 3)/3
Factor 33*f - 13*f + 15*f**4 - 56*f**3 + 6*f**3 - 20*f**3 + 35*f**2.
5*f*(f - 4)*(f - 1)*(3*f + 1)
Factor -20*d**4 + 35*d**2 - 3*d**3 + 10*d - 2*d**3 - 20*d**3.
-5*d*(d - 1)*(d + 2)*(4*d + 1)
Factor 1/7*w**3 - 3/7*w**2 - 2/7 - 5/7*w + 1/7*w**4.
(w - 2)*(w + 1)**3/7
Let j(a) be the second derivative of -a**6/540 + a**4/108 + a**2 - a. Let q(c) be the first derivative of j(c). Let q(l) = 0. Calculate l.
-1, 0, 1
Let 3*h**5 - 2*h**3 + 4 - h - 33/2*h**2 + 25/2*h**4 = 0. What is h?
-4, -1, -2/3, 1/2, 1
Let d(y) = 7*y**2 + 7*y + 10. Let g be d(-4). Factor g*m**3 - 12*m**4 - 37*m**4 + 4*m - 32*m**2 - 17*m**3.
-m*(m - 1)*(7*m - 2)**2
Factor 15/4*n**3 + 3/4*n**5 - 3/2*n**2 + 0 - 3*n**4 + 0*n.
3*n**2*(n - 2)*(n - 1)**2/4
Let h(x) be the first derivative of 3*x**4/16 + x**3 + 15*x**2/8 + 3*x/2 + 21. Suppose h(q) = 0. Calculate q.
-2, -1
Let y(p) be the third derivative of -p**5/90 - p**4/36 + 3*p**2. Solve y(k) = 0 for k.
-1, 0
Let l(t) be the first derivative of -3*t**5/5 - 3*t**4/4 + t**3 + 3*t**2/2 - 10. What is u in l(u) = 0?
-1, 0, 1
Let y(j) = -j + 18. Let d be y(15). Let x be 12/8*(d + -1). Find n such that -2/5*n**2 + 0 + 2/5*n - 4/5*n**x = 0.
-1, 0, 1/2
Let x = -10373/42 - -247. Let f(o) be the second derivative of x*o**4 + 1/7*o**3 + 0 + 2/7*o**2 + 3*o. Factor f(w).
2*(w + 1)*(w + 2)/7
Let n(b) = -b**3 + 4*b**2 - b - 1. Let h be n(2). Let a(i) be the third derivative of -1/108*i**4 - 1/270*i**h - 2*i**2 + 0 + 0*i**3 + 0*i. Factor a(p).
-2*p*(p + 1)/9
Let g(b) be the second derivative of -1/9*b**2 - 1/9*b**3 + 0 + 1/45*b**5 + b + 1/189*b**7 - 1/27*b**4 + 1/45*b**6. Factor g(n).
2*(n - 1)*(n + 1)**4/9
Suppose -2 = -a - 0. What is b in -3/2*b**a + 3*b + 0 = 0?
0, 2
Let j be (-2)/4 - (-1)/2. Suppose j*x + 4*x - 8 = 0. Factor 1/2 - 1/2*o**3 + 3/2*o**x - 3/2*o.
-(o - 1)**3/2
Let q(k) = -k**3 + k**2. Let o(g) = g**3 + g**2 - 2*g. Let w(c) = o(c) - q(c). Find s, given that w(s) = 0.
-1, 0, 1
Factor 2*s**2 - 3*s**3 + 0*s**4 + 9*s**4 - 8*s**4.
s**2*(s - 2)*(s - 1)
Let a(o) = -o - 1. Let d(f) = f**2 - 6*f - 5. Let n(b) = 5*a(b) - d(b). Find m such that n(m) = 0.
0, 1
Suppose 0 = -4*f + 16 - 4. Suppose -k = -f*k. Factor 2/9*h + 2/9*h**5 - 8/9*h**4 + 4/3*h**3 + k - 8/9*h**2.
2*h*(h - 1)**4/9
Let s(p) be the second derivative of 4*p + 1/30*p**4 + 0*p**3 + 0 + 0*p**2. Factor s(z).
2*z**2/5
Let a(o) be the third derivative of -1/36*o**4 - 1/9*o**3 + 1/180*o**6 + 0 + 0*o + 1/90*o**5 - o**2. Factor a(g).
2*(g - 1)*(g + 1)**2/3
Factor 2/13*v - 2/13*v**4 + 2/13*v**2 - 2/13*v**3 + 0.
-2*v*(v - 1)*(v + 1)**2/13
Suppose m + 5 = j, 2*m - 5 = -4*j + 3*m. Let l(t) be the second derivative of 0*t**2 - 1/24*t**4 - 1/6*t**3 - t + j. Factor l(d).
-d*(d + 2)/2
