0, 2
Let y(j) = 5*j**3 - j**2 + 6*j. Let h(a) = a**3 + a. Let w(g) = -6*h(g) + y(g). Let w(c) = 0. What is c?
-1, 0
Factor -1/3*t**3 - 4/3 - 5/3*t**2 - 8/3*t.
-(t + 1)*(t + 2)**2/3
Let d(s) be the third derivative of -s**7/105 + s**5/15 - s**3/3 + 9*s**2. Factor d(w).
-2*(w - 1)**2*(w + 1)**2
Let p be (11/(-11))/(1/(-4)). Let b be (2*p)/(22/11). Factor -3*d**3 + 3/4*d**b + 3/4 - 3*d + 9/2*d**2.
3*(d - 1)**4/4
Let x = 66/5 + -13. Find m such that 1/5*m**2 + x*m + 0 = 0.
-1, 0
Let x(d) be the third derivative of -d**8/20160 - d**7/2520 - d**6/720 - d**5/30 - d**2. Let i(n) be the third derivative of x(n). Find w, given that i(w) = 0.
-1
Let a(q) = 6*q**2 + 120*q + 2. Let s be a(-20). Find l, given that 4/5*l**s - 3/5 - 11/5*l = 0.
-1/4, 3
Solve 5/3*f**4 - 5/2*f**5 + 0*f**2 - 10/3*f + 0 + 15/2*f**3 = 0.
-1, 0, 2/3, 2
Factor -1/3*l**3 + l**2 + 5/3 + 3*l.
-(l - 5)*(l + 1)**2/3
Let d = 2395/104 + -183/8. Factor 0 - 4/13*c**2 + 0*c - d*c**3.
-2*c**2*(c + 2)/13
Determine b, given that 4 + 2*b**2 + 0*b - 2*b - 2*b - 2 = 0.
1
Let a(c) be the first derivative of c**3/6 - 2*c**2 - 26. Find g, given that a(g) = 0.
0, 8
Suppose 2*m + 4*g - 14 = 0, -3*g - 2*g = -5*m + 5. Suppose m = 5*j - 4*j. Factor 18/7*h**4 + 74/7*h**2 - 60/7*h**j - 40/7*h + 8/7.
2*(h - 1)**2*(3*h - 2)**2/7
Factor 5/3*n**2 + 245/3 - 70/3*n.
5*(n - 7)**2/3
Let r be 1 + (-10)/4 + -7 + 9. Factor -1/2*l**3 - r*l**4 + 1/2*l + 0 + 1/2*l**2.
-l*(l - 1)*(l + 1)**2/2
Let 0 - 3/8*d**4 + 3/8*d**2 + 3/4*d**3 - 3/4*d = 0. What is d?
-1, 0, 1, 2
Let m be -4 - (-2*(-40)/(-15) + 0). Factor -10/3*u**2 + 2*u + m.
-2*(u - 1)*(5*u + 2)/3
Let c = -13 - -15. Factor -c*z + 1/2*z**2 + 2.
(z - 2)**2/2
Factor -9*a + 25*a - a**2 - 1 - 14*a + 0*a**2.
-(a - 1)**2
Let t = 1 + 1. Factor 0*b**2 + b**3 - b**2 + t*b**2.
b**2*(b + 1)
Let i be (324/(-56) + 6)/(3/8). Factor 10/7*v - i + 2/7*v**4 - 2/7*v**3 - 6/7*v**2.
2*(v - 1)**3*(v + 2)/7
Let s(k) be the second derivative of -k**5/4 + 5*k**3/6 - k. Solve s(i) = 0 for i.
-1, 0, 1
Let u(o) be the second derivative of o**7/5040 + o**6/480 - o**4/12 - 7*o. Let k(r) be the third derivative of u(r). Find p such that k(p) = 0.
-3, 0
Let n = -106 + 323/3. Suppose 0 + 2/3*h - n*h**2 = 0. Calculate h.
0, 2/5
Let z(k) be the third derivative of k**6/210 - 4*k**5/105 + 2*k**4/21 - 29*k**2. Factor z(m).
4*m*(m - 2)**2/7
Let t(f) be the third derivative of f**6/30 + 2*f**5/3 + 25*f**4/6 + 22*f**2. Find g such that t(g) = 0.
-5, 0
Let z(o) be the first derivative of -2*o**3/15 - 18*o**2/5 - 162*o/5 + 32. Factor z(f).
-2*(f + 9)**2/5
Let o(c) = 1. Let k(v) = -4*v**3 + 16*v**2 + 20. Let q(z) = k(z) - 20*o(z). Find b such that q(b) = 0.
0, 4
Let k(f) be the first derivative of -7*f**3/3 - 3*f**2/2 + 5*f - 1. Let h(y) = -6*y**2 - 2*y + 4. Let q(o) = -5*h(o) + 4*k(o). Solve q(d) = 0 for d.
0, 1
Let q = 7/27 + 65/27. Determine s, given that 8*s + q + 10/3*s**2 = 0.
-2, -2/5
Let n(a) be the second derivative of a**7/98 + 2*a**6/35 - 3*a**5/28 + 27*a. Suppose n(s) = 0. What is s?
-5, 0, 1
Suppose -4*h - h = -20. Factor u**3 + h*u**3 - 3*u**3 - 2*u.
2*u*(u - 1)*(u + 1)
Factor 2/5*b**2 + 0 - 2/5*b.
2*b*(b - 1)/5
Let r(f) be the second derivative of f**6/1080 + f**5/360 - f**3/2 - f. Let a(u) be the second derivative of r(u). Factor a(v).
v*(v + 1)/3
Let q(h) be the first derivative of -h**3 - 7/4*h**2 - 1/2*h + 1. Solve q(d) = 0 for d.
-1, -1/6
Let x(r) = -19*r**3 + 9*r**2 - 8*r - 6. Let d(q) = 18*q**3 - 10*q**2 + 7*q + 5. Let p(w) = 6*d(w) + 5*x(w). Factor p(h).
h*(h - 1)*(13*h - 2)
Determine v so that -1/3*v**4 + 2/3*v - v**3 + 1/3*v**5 + 1/3*v**2 + 0 = 0.
-1, 0, 1, 2
Let j(i) = -2*i**2 - 14*i - 6. Let h be (-65)/(-15) + (-8)/(-12). Let f(s) = -s**2 - 13*s - 5. Let r(g) = h*j(g) - 6*f(g). Solve r(m) = 0 for m.
0, 2
Let j(z) be the first derivative of z**8/1176 - z**7/735 - z**6/420 + z**5/210 + 3*z**2/2 - 3. Let f(w) be the second derivative of j(w). Solve f(v) = 0 for v.
-1, 0, 1
Suppose -3*h - g - 2 = 0, -h + 12 = -5*h + g. Let n be (-3)/(-15) + h/(-15). Suppose 2/3*o - n*o**2 - 1/3 = 0. What is o?
1
Let l(g) be the second derivative of -g**6/90 + g**4/18 - g**2/6 + 9*g. Factor l(p).
-(p - 1)**2*(p + 1)**2/3
Let o(r) = -3*r**4 + 10*r**3 + 7*r**2 - 10*r - 2. Let f(h) = -h**4 - h**2 + 1. Let a(v) = 2*f(v) + o(v). Suppose a(n) = 0. Calculate n.
-1, 0, 1, 2
Let s(c) be the second derivative of -c**6/10 + 3*c**5/5 - 3*c**4/2 + 2*c**3 - 3*c**2/2 - 6*c. Let s(z) = 0. What is z?
1
Let j(c) = -2*c**3 + 4*c**2 - 4*c - 2. Let t(w) = -w**2 - 1. Let v(o) = j(o) - 2*t(o). Factor v(p).
-2*p*(p - 2)*(p - 1)
Let v(j) = -j**4 + j**3 - 1. Let o(h) = 2*h**4 - h**3 - h**2 + 1. Let z(m) = -3*o(m) - 3*v(m). Factor z(r).
-3*r**2*(r - 1)*(r + 1)
Let x(v) be the second derivative of v**8/28 + 16*v**7/105 + 7*v**6/30 + 2*v**5/15 - v**2/2 + 2*v. Let a(z) be the first derivative of x(z). Factor a(q).
4*q**2*(q + 1)**2*(3*q + 2)
Suppose 13 = 3*t - b, -3*t + 7*b + 25 = 3*b. Factor 0*n - 2/7*n**5 + 2/7*n**4 + 2/7*n**t - 2/7*n**2 + 0.
-2*n**2*(n - 1)**2*(n + 1)/7
Let g be (-111715)/(-23695) + 2/2. Let b = -2/4739 + g. Solve -6/7*s**4 + b*s**3 - 96/7*s**2 + 96/7*s - 32/7 = 0.
2/3, 2
Let a(i) = -i**4 - i**3. Let z(g) = 7*g**5 - 14*g**4 + 13*g**3 + 4*g**2. Let t(s) = -5*a(s) - z(s). Determine y, given that t(y) = 0.
-2/7, 0, 1, 2
Let i(d) be the second derivative of d**5/120 - d**4/72 - d**3/9 + d**2/3 + 11*d. Let i(a) = 0. What is a?
-2, 1, 2
Let k(r) = -r**3 + r**2 - r + 1. Let d(t) = -t**4 + 9*t**3 - 3*t**2 + 5*t - 10. Let u(v) = 3*d(v) + 21*k(v). Solve u(s) = 0 for s.
-1, 1, 3
Let x(b) be the first derivative of b**6/6 - b**4/2 + b**2/2 + 8. Let x(j) = 0. Calculate j.
-1, 0, 1
Solve -4/7 - 6/7*j - 2/7*j**2 = 0.
-2, -1
Let -35*k**3 - 2 - 1 + 3 + 10*k + 25*k**2 = 0. What is k?
-2/7, 0, 1
Let m(q) be the first derivative of -2/3*q**3 + 1/4*q**6 - 1/4*q**4 - 1/4*q**2 + 1 + 0*q + 2/5*q**5. Suppose m(k) = 0. Calculate k.
-1, -1/3, 0, 1
Let i be (-126)/(-4) + (-2)/4. Let l = i + -28. Find w, given that 0 + 0*w - 3/5*w**2 + 6/5*w**l - 3/5*w**4 = 0.
0, 1
Suppose -l + 2 = -3. Suppose 10 = 5*j + 2*d - 2, 4*j - l*d = 36. Solve -4 + 12*f**5 + 6 + 15*f**j - 60*f**4 - 30*f**2 + 60*f**3 + 1 = 0 for f.
-1/4, 1
Determine s, given that -2/3*s**2 + 0*s + 2/3 = 0.
-1, 1
Let a(i) be the first derivative of 7*i**6/3 + 32*i**5/5 + 11*i**4/2 + 4*i**3/3 - 7. What is q in a(q) = 0?
-1, -2/7, 0
Let u(s) be the third derivative of s**7/840 + s**6/480 - s**5/240 - s**4/96 - 5*s**2. Factor u(f).
f*(f - 1)*(f + 1)**2/4
Suppose l + 1 + 4 = 0, 3*s = 2*l + 64. Let d be ((-5)/15)/((-3)/s). Factor 2/3*k**d + 2/3*k**3 - 2/3*k + 0 - 2/3*k**4.
-2*k*(k - 1)**2*(k + 1)/3
Let t(k) = k**3 - 2*k**2 + k - 7. Let y be t(3). Factor 0 - 2/9*a**y + 0*a + 2/3*a**4 - 2/3*a**3 + 2/9*a**2.
-2*a**2*(a - 1)**3/9
Factor 8*x**2 - 7*x + 2*x**2 - 11*x**2 + 8.
-(x - 1)*(x + 8)
Suppose 5*k + 9 = 34. Suppose -k*v + 10 = -0*v. Factor m + 6 + v*m**2 - 7*m + 3 - 5.
2*(m - 2)*(m - 1)
Suppose -5 = -6*a + a - 2*y, -4*a + 5*y + 37 = 0. Solve 5*l**4 - a*l**4 - 30*l**5 + 28*l**5 = 0.
0, 1
What is u in -3/8*u**2 + 0 + 9/4*u = 0?
0, 6
Let m(c) be the first derivative of -9 - 1/21*c**3 + 0*c**2 + 0*c - 1/28*c**4. Factor m(g).
-g**2*(g + 1)/7
Let w(a) be the first derivative of a**6/15 - 6*a**5/25 + 3*a**4/10 - 2*a**3/15 + 6. Factor w(n).
2*n**2*(n - 1)**3/5
Let o(u) be the third derivative of -7*u**6/780 + 3*u**5/130 - u**4/78 + 2*u**2. Determine m so that o(m) = 0.
0, 2/7, 1
Suppose -5*m + 4*v - 1363 = 0, -4*v = -5*m - 3*v - 1372. Let y be 5/(-4) - m/100. Find s, given that 9/2*s**2 + 3*s + 0 + y*s**3 = 0.
-2, -1, 0
Let u(s) be the second derivative of 1/36*s**4 - 1/20*s**5 + 0*s**2 + 0*s**3 + 1/30*s**6 - 2*s + 0 - 1/126*s**7. Factor u(t).
-t**2*(t - 1)**3/3
Let m(q) be the first derivative of -q**7/1680 - q**6/120 - q**5/20 - q**4/6 + 4*q**3/3 + 3. Let j(z) be the third derivative of m(z). Factor j(s).
-(s + 2)**3/2
Let q be 1*7/(-14) - 6/(-8). Factor -1/2*o**3 + q*o + 1/4*o**4 - 1/2*o**2 + 1/4*o**5 + 1/4.
(o - 1)**2*(o + 1)**3/4
Let c(m) be the first derivative of 6*m**6 + 12*m**5/5 - 5*m**4 + 4*m**3/3 - 67. Factor c(u).
4*u**2*(u + 1)*(3*u - 1)**2
Suppose -n - 2*v - 4 = 0, 3*n - n - 8 = 4*v. Factor 0*a - 2/7*a**3 + n*a**2 + 0.
-2*a**3/7
Suppose -4*b + 2*v = -2*v - 4, -b = 2*v + 5. Let f be