 - 4 = -2*l. What is k in -2*k**2 + l*k**4 + 0 + 0 = 0?
-1, 0, 1
Let q be -4*(-4)/(-16)*-2. Suppose -4/3*j**4 + 0 - 2/3*j**3 + 2/3*j + 4/3*j**q = 0. What is j?
-1, -1/2, 0, 1
Let s = -9/19 - -65/57. Let m = -7/24 + 5/8. Factor -m*q**2 - 1/3 + s*q.
-(q - 1)**2/3
Let h be (-4)/(-6) - (-12)/(-18). Factor 4*c**2 + 0*c - 6*c**2 + h*c.
-2*c**2
Factor 2/23*r**2 - 4/23*r - 6/23.
2*(r - 3)*(r + 1)/23
Let d(n) be the second derivative of 2/15*n**3 + 0*n**5 - 1/75*n**6 + 0 + 0*n**2 - n + 1/10*n**4. Find x, given that d(x) = 0.
-1, 0, 2
Let k(h) be the second derivative of -h**2 + 0 + 0*h**5 - 1/480*h**6 + 1/96*h**4 + 3*h + 0*h**3. Let b(d) be the first derivative of k(d). Factor b(v).
-v*(v - 1)*(v + 1)/4
Let x(k) be the second derivative of k**8/5760 - k**7/945 + 11*k**6/4320 - k**5/360 - k**4/4 - k. Let z(o) be the third derivative of x(o). Factor z(q).
(q - 1)**2*(7*q - 2)/6
Let h(j) be the first derivative of -7*j**4/4 + 7*j**2/2 - 5*j + 2. Let v(q) = -11*q**3 + 11*q - 8. Let l(n) = 8*h(n) - 5*v(n). Factor l(s).
-s*(s - 1)*(s + 1)
Let z(g) = -g + 2. Let o be z(-2). Let q(l) be the third derivative of -1/12*l**6 + 0*l + 1/3*l**3 - 7/12*l**o + 11/30*l**5 + 3*l**2 + 0. Factor q(y).
-2*(y - 1)**2*(5*y - 1)
Let s(d) = d**3 - 5*d**2 + 3. Let k = 58 - 61. Let b(u) = -u**2 + 1. Suppose 2*g - 1 = 5*p + 2, -2*p = -g + 2. Let z(c) = k*b(c) + p*s(c). Solve z(f) = 0.
0, 2
Suppose -3 = -3*d, 4*d - 3 - 1 = 2*y. Let j(t) be the third derivative of 0*t**3 + y + 0*t**5 - 1/80*t**6 + t**2 + 1/16*t**4 + 0*t. Suppose j(k) = 0. What is k?
-1, 0, 1
Let h(s) be the first derivative of s**6/30 + 4*s**5/25 + 3*s**4/20 + 3. Find z such that h(z) = 0.
-3, -1, 0
Let c(y) be the third derivative of -1/8*y**6 + 0 + 2*y**3 - 5*y**2 - 1/2*y**4 - 13/20*y**5 + 0*y. Factor c(l).
-3*(l + 1)*(l + 2)*(5*l - 2)
Let l(q) be the first derivative of q**3/5 - 6*q**2/5 + 7. Let l(a) = 0. What is a?
0, 4
Suppose 5*b + 44 = 16*b. Factor -2/9*k**b - 10/9*k**2 + 0 - 8/9*k**3 - 4/9*k.
-2*k*(k + 1)**2*(k + 2)/9
Let c be 0/((10/2)/5). Let b(x) be the third derivative of 3*x**2 + c*x + 1/6*x**3 + 1/210*x**7 - 1/30*x**5 + 0*x**6 + 0*x**4 + 0. Factor b(a).
(a - 1)**2*(a + 1)**2
Let j(a) = a**2 - 10*a - 17. Let z be j(12). Suppose -z*f - 2 + 23 = 0. Factor 10/3*l - 8/3*l**2 + 2/3*l**f - 4/3.
2*(l - 2)*(l - 1)**2/3
What is m in 13*m + 0*m - 2*m - m**2 - 2*m = 0?
0, 9
Factor 5*l**2 - 2*l**2 - 4*l**5 + 0*l**3 - 3*l**3 + 7*l**5 - 3*l**4.
3*l**2*(l - 1)**2*(l + 1)
Suppose 15 = -y + 6*y. Factor 2*q + 11 - 5*q**3 + 2*q**5 + q**y - 11.
2*q*(q - 1)**2*(q + 1)**2
Let g = -26 - -15. Let q = 13 + g. Factor 1/5*x**3 + 0 - 1/5*x**q + 0*x.
x**2*(x - 1)/5
Suppose -5 = -j - 0*i - 3*i, -j - i - 5 = 0. Let v = 14 + j. Determine x, given that -x + 2*x**3 + 2*x**v + x = 0.
-1, 0
Factor 0 + 18/5*j**2 + 48/5*j**3 + 32/5*j**4 + 2/5*j.
2*j*(j + 1)*(4*j + 1)**2/5
Let y(f) = f**3 - 2*f**2 - 2*f + 1. Let x be y(3). Determine v so that -v**5 - 4*v**2 + 2*v + 4*v**x + 2*v - 6*v + 3*v**5 = 0.
-1, 0, 1
Suppose -146*u = -162*u + 32. Find j, given that 1 - 5/2*j + u*j**2 - 1/2*j**3 = 0.
1, 2
Let p(n) = n**3 + 8*n**2 - n - 4. Let l be -10 + (-2 - 16/(-4)). Let j be p(l). Factor 4/3*y**3 - 2*y**j + 0 + 0*y + 0*y**2.
-2*y**3*(3*y - 2)/3
Factor 0 + 6*l**3 - 3*l**4 + 12 + 448*l - 472*l + 9*l**2.
-3*(l - 2)*(l - 1)**2*(l + 2)
Let l(q) be the first derivative of q**7/140 + q**6/80 - q**5/40 - q**4/16 - 2*q**2 + 4. Let w(u) be the second derivative of l(u). Factor w(t).
3*t*(t - 1)*(t + 1)**2/2
Let 0*y**2 + 0 - 4/5*y**4 + 0*y + 4/5*y**3 = 0. Calculate y.
0, 1
Let h(v) be the first derivative of -v**2 + 2/5*v**5 + 2*v**3 + 0*v - 1 - 3/2*v**4. Solve h(u) = 0.
0, 1
Let 0 + 3/5*c**4 + 12/5*c**3 + 12/5*c**2 + 0*c = 0. What is c?
-2, 0
Let a be ((-5)/3)/5 + (-84)/(-36). Let 1/2*f - 1/4 - 1/4*f**a = 0. What is f?
1
Let l(w) be the third derivative of -w**6/360 + w**5/60 + w**4/72 - w**3/6 - 4*w**2. Factor l(a).
-(a - 3)*(a - 1)*(a + 1)/3
Suppose 0 = 14*i + 4 - 32. Suppose 1/2*w**i - 2*w**3 - 1/2*w**4 + 0 + 2*w**5 + 0*w = 0. Calculate w.
-1, 0, 1/4, 1
Let m(i) be the third derivative of 0*i + 5*i**2 + 1/15*i**5 + 0*i**3 - 1/112*i**8 + 1/6*i**4 - 7/120*i**6 - 1/21*i**7 + 0. What is l in m(l) = 0?
-2, -1, 0, 2/3
Suppose -2*a = 3*p - 8, 0*a - 2*p - 20 = -5*a. Factor -7*n + 0*n**4 - 3*n + 2*n + 8*n**3 - a*n**4 + 4.
-4*(n - 1)**3*(n + 1)
Suppose -h = -9 - 1. Suppose 5*z = 10 + h. Determine g, given that 6*g**3 + 2*g - 2*g**4 + 4*g - z*g - 10*g**2 + 4*g**2 = 0.
0, 1
Factor -5/3*x**2 - 5/3*x**3 + 0 + 10/3*x.
-5*x*(x - 1)*(x + 2)/3
Let z be (-14)/(-3) + 1/3. Suppose 0 = -8*t + z*t + 6. Let 2/5*a**3 + 2/5 - 2/5*a - 2/5*a**t = 0. What is a?
-1, 1
Let z(q) = q**3 - q**2 - q + 80. Let w be z(0). Let r be 1/4 - 4/w. Find y, given that -1/5*y**4 + 0 - 2/5*y**3 - r*y**2 + 0*y = 0.
-1, 0
Let l(i) = 5*i**3 - 30*i**2 + 30*i - 10. Let n(k) = -7*k**3 + 45*k**2 - 45*k + 15. Let a(s) = -8*l(s) - 5*n(s). Let a(y) = 0. What is y?
1
Let j(a) be the first derivative of a**7/525 + a**6/180 + a**5/300 - 4*a**3/3 - 2. Let k(y) be the third derivative of j(y). Factor k(r).
2*r*(r + 1)*(4*r + 1)/5
Let g(b) be the third derivative of -b**8/84 + 2*b**7/35 - b**6/10 + b**5/15 - 7*b**2. Factor g(o).
-4*o**2*(o - 1)**3
Suppose 2*k + 4 = 2*t - 3*t, 0 = 3*t + k + 2. Let s be 2 + 3 - 2 - t. Determine r, given that 2/3*r - 16/3*r**2 + 4/3 + 10/3*r**s = 0.
-2/5, 1
Factor 2/3*z**2 - 2 - 4/3*z.
2*(z - 3)*(z + 1)/3
Let y(b) be the second derivative of 1/6*b**2 + 1/60*b**5 - 1/36*b**4 + 0 - 3*b - 1/18*b**3. Factor y(w).
(w - 1)**2*(w + 1)/3
Let g(h) = h**3 - 6*h**2 + 6*h - 2. Let q be g(5). Suppose q*d = -d + 20. Suppose d*x - x**2 - 5*x + x = 0. What is x?
0, 1
Factor -1/6*x**4 - 1/2*x**2 + 0 + 1/2*x**3 + 1/6*x.
-x*(x - 1)**3/6
Let a be 1/(2/20)*-1. Let r be (-1)/2 + (-35)/a. Factor -5/3*p**2 + 7/3*p**4 + r*p - 2/3 - 3*p**3.
(p - 1)**2*(p + 1)*(7*p - 2)/3
Let h be 2/(1/((-3)/(-15))). Factor 8/5*v**3 + 8/5*v - 2/5 - h*v**4 - 12/5*v**2.
-2*(v - 1)**4/5
Factor 0*b - 2/9*b**2 + 2/9.
-2*(b - 1)*(b + 1)/9
Let i = -39/5 - -8. Let w(c) be the first derivative of -1 + i*c**2 + 0*c + 2/15*c**3. Factor w(o).
2*o*(o + 1)/5
Let d(c) = 4*c - 22. Let o be d(6). Let v(q) be the second derivative of -1/10*q**5 + 0*q**3 + 1/12*q**4 + 1/30*q**6 + o*q + 0*q**2 + 0. Factor v(u).
u**2*(u - 1)**2
Let s = -34 - -38. Let k(d) be the second derivative of 0 + 0*d**3 + 1/10*d**5 + 2*d + 0*d**2 - 1/6*d**s. What is v in k(v) = 0?
0, 1
Let f(z) = 7*z**2 + 20*z + 13. Let d(c) = 4*c**2 + 10*c + 6. Let q(t) = 11*d(t) - 6*f(t). Factor q(y).
2*(y - 6)*(y + 1)
Let k be 48/84 - (-6)/(-14). Let w = 10/21 - k. Solve 1/3*g**3 + g - g**2 - w = 0.
1
Let j = -687/2 - -344. Let j*s**3 + 1 + 2*s**2 + 5/2*s = 0. Calculate s.
-2, -1
Suppose 0 = -4*f + 5*f - 4*x + 6, -52 = -3*f - 2*x. Let 40/3*o**3 - 8/3 - 40/3*o + 50/3*o**4 - f*o**2 = 0. Calculate o.
-1, -2/5, 1
Let h be (-8)/(-20) - 8/(-5). Suppose h*j = 1 + 3. Factor -2 + 6*a**2 + j*a + 4*a**3 - 4*a**2 - 2*a**3 - 4*a.
2*(a - 1)*(a + 1)**2
Let o(s) be the first derivative of 2/5*s + 2/15*s**3 + 3 + 2/5*s**2. Let o(m) = 0. Calculate m.
-1
Let x be 1*((-4 - -5) + -1). Let k(y) be the first derivative of 3 + x*y**2 - 2*y**4 + 2/3*y**3 + 0*y. Factor k(p).
-2*p**2*(4*p - 1)
Let y(g) be the first derivative of g**6/1800 - g**5/200 + g**4/60 + 2*g**3 - 4. Let q(x) be the third derivative of y(x). Find c such that q(c) = 0.
1, 2
What is x in -4/7*x + 2/7 - 4/7*x**5 + 2/7*x**4 + 8/7*x**3 - 4/7*x**2 = 0?
-1, 1/2, 1
Let r(f) be the first derivative of -f**5/5 + 3*f**4/4 - f**3/3 - 3*f**2/2 + 2*f + 3. Factor r(b).
-(b - 2)*(b - 1)**2*(b + 1)
Let q(l) be the first derivative of l**4/10 + 2*l**3/5 + 3*l**2/5 + 2*l/5 - 8. Solve q(v) = 0 for v.
-1
Let t(c) be the first derivative of 3 - 3/4*c**3 - 3/4*c**2 + 0*c - 3/16*c**4. Solve t(y) = 0 for y.
-2, -1, 0
Let t be 4/6 + (-20)/(-15). Suppose -15 = -t*j - 9. Factor 1/2*q**5 + 7/4*q**4 + 1/4*q + 5/4*q**2 + 0 + 9/4*q**j.
q*(q + 1)**3*(2*q + 1)/4
Let w be (2/4)/((-1)/2). Let g be 1 - -1*(2 + w). Factor -4*q**g - q - 3*q + 18*q**2.
2*q*(7*q - 2)
Let a(n) be the second derivative of 2*n**6/45 - n**5/30 - n**4/6 + n**3/9 + n**2/3 + 9*n. Solve a(k) = 0 for k.
-1, -1/2, 1
Suppose 2*l - 14 = -0*l. Let y be (-8)/l + 20/10. Solve -y*z + 2/7*z**3 + 4/7 + 0*z**2 = 0 f