Suppose -20 = -0*j - 5*j. Let x(n) be the second derivative of -2*n + 0*n**j + 0 + 1/30*n**5 - 1/9*n**3 + 0*n**2. Solve x(a) = 0 for a.
-1, 0, 1
Let o = 69/2 + -34. Let p be (-2)/(-1) - (-3)/(-2). Suppose -o*x**2 - p*x**3 + 1/2*x + 1/2 = 0. What is x?
-1, 1
Suppose t = -6*t. Let b(w) be the second derivative of 0*w**2 + 2*w + 0*w**3 + 1/60*w**5 + 1/90*w**6 + t*w**4 + 0. Solve b(c) = 0 for c.
-1, 0
Let p(g) be the third derivative of -1/672*g**8 - 2*g**2 + 0 + 0*g - 1/140*g**7 - 1/120*g**5 + 0*g**3 - 1/80*g**6 + 0*g**4. Factor p(w).
-w**2*(w + 1)**3/2
Factor 0 + 4/3*v**3 - 2/3*v**2 - 2/3*v**4 + 0*v.
-2*v**2*(v - 1)**2/3
Let n(w) be the second derivative of 7/20*w**5 - 1/3*w**3 + 0 + 0*w**2 + 5/12*w**4 + 2*w. Factor n(x).
x*(x + 1)*(7*x - 2)
Suppose 0 = 13*f - 3*f - 20. Factor 4/5*i**f - 2*i**3 + 6/5*i**4 + 0 + 0*i.
2*i**2*(i - 1)*(3*i - 2)/5
Let f(m) = -22*m**2 - 12*m. Suppose -3*w - 34 - 2 = 0. Suppose -2*o = 2*o - 20. Let b(z) = -9*z**2 - 5*z. Let s(i) = o*f(i) + w*b(i). Factor s(h).
-2*h**2
Let z be 3*(0 + (1 - 0)). Suppose -l = z*l - 20. Factor 0 - 2/3*j + 4/3*j**4 - 4/3*j**2 + 2/3*j**l + 0*j**3.
2*j*(j - 1)*(j + 1)**3/3
Let u(w) be the second derivative of 0*w**4 + 2*w + 0*w**3 - 5/84*w**7 - 1/20*w**5 - 7/60*w**6 + 0*w**2 + 0. Suppose u(b) = 0. What is b?
-1, -2/5, 0
Let n(s) be the first derivative of -s**4/20 - 13*s**3/30 - 2*s**2/5 + 24*s/5 + 25. Suppose n(h) = 0. What is h?
-4, 3/2
Let u(g) be the first derivative of g**6/11 + 2*g**5/55 - 9*g**4/22 - 6*g**3/11 - 2*g**2/11 + 17. Find t such that u(t) = 0.
-1, -1/3, 0, 2
Let q be (-16)/9 - (-4)/2. Suppose 5 + 15 = 4*v, -2*v = -5*h. Find r, given that -2/9*r + 0 + 0*r**h + q*r**3 = 0.
-1, 0, 1
Let m(j) be the first derivative of 2*j**5/25 + 4*j**4/5 + 44*j**3/15 + 24*j**2/5 + 18*j/5 + 8. Factor m(b).
2*(b + 1)**2*(b + 3)**2/5
Let f(p) be the second derivative of -1/2*p**3 + 3/20*p**5 + 0*p**4 + 0*p**2 - 10*p + 0. Determine a, given that f(a) = 0.
-1, 0, 1
Let q be ((-2)/(-24))/((-2)/(-8)). Let k(i) be the first derivative of q*i**3 + 1/4*i**4 + 0*i + 1/6*i**2 + 1/15*i**5 - 2. Find f, given that k(f) = 0.
-1, 0
Let x(y) be the second derivative of -y**4/54 + 7*y. Factor x(l).
-2*l**2/9
Suppose -7*g = -10*g + 9. Suppose -3*l = -2*y - 20, -g*y = -l + 12 + 4. Find m, given that -3/4*m + 1/4*m**l + 1/4*m**2 + 3/4*m**3 - 1/2 = 0.
-2, -1, 1
Factor 4/3*l + 14/3*l**2 + 6*l**3 + 10/3*l**4 + 0 + 2/3*l**5.
2*l*(l + 1)**3*(l + 2)/3
Let g(m) be the second derivative of -m**5/180 - m**4/24 - m**3/9 + m**2/2 - 3*m. Let f(x) be the first derivative of g(x). Factor f(s).
-(s + 1)*(s + 2)/3
Let q = -24 - -4. Let m = q - -24. Suppose 0 + 1/4*y**2 + 1/4*y**3 - 1/4*y**m - 1/4*y = 0. What is y?
-1, 0, 1
Let w(o) = 6*o**3 + 18*o**2 + 13*o + 11. Let y(h) = -2 - 3*h**3 - 9*h**2 + 7 - 6*h - 11. Let x(q) = 3*w(q) + 5*y(q). Factor x(k).
3*(k + 1)**3
Let r(o) be the third derivative of o**8/110880 - o**7/9240 + o**6/1980 + o**5/60 - 4*o**2. Let v(b) be the third derivative of r(b). Find j such that v(j) = 0.
1, 2
Let u(a) be the third derivative of 0*a**3 - 4*a**2 + 0 + 0*a**4 - 1/165*a**5 + 0*a - 1/60*a**6. Find b such that u(b) = 0.
-2/11, 0
Factor -9*z - 3*z**4 + 96 - 3*z**3 - 96 + 15*z**2.
-3*z*(z - 1)**2*(z + 3)
Factor 177*x**2 + 12*x**4 + 63*x**3 + 45*x - 40 - 6*x**4 - 35.
3*(x + 1)*(x + 5)**2*(2*x - 1)
Let m(v) = -v**2 - 7*v + 10. Let i = 6 + -14. Let n be m(i). Factor d**3 + 3*d**3 - n*d**3.
2*d**3
Let y be 1/(-4) - (-7)/(-4). Let s = y - -4. Factor s - 2*x**2 - 4*x + x + x + 2*x**3.
2*(x - 1)**2*(x + 1)
Let l be -2 + 1 + 1*4. Let k be 9/15*(0 + 5). Factor -1 + 0*w**2 + l*w**k - 2*w**2 - 3*w + 3*w**4 - w**3 + w**5.
(w - 1)*(w + 1)**4
Let v(t) = -1 + 6*t + t**2 + 2*t - 4*t. Let x be v(-5). Factor -2*d**2 - x*d + 2*d**3 + 6*d - 2*d**2.
2*d*(d - 1)**2
Suppose s + i + 0*i = 4, 0 = -5*i. Let -351*y**2 - 108*y - 2 - 2 - 480*y**3 - 225*y**s - 8 = 0. Calculate y.
-1, -2/5, -1/3
Let n(f) be the second derivative of -f**8/13440 + f**6/1440 + f**4/12 + 2*f. Let k(t) be the third derivative of n(t). Find z, given that k(z) = 0.
-1, 0, 1
Let u be ((-12)/14)/(6/42). Let j be (4 - (-27)/u)*0. Factor 0 + 2/3*m**3 + j*m + 4/3*m**2 - 2/3*m**4.
-2*m**2*(m - 2)*(m + 1)/3
Let d(g) be the third derivative of -g**7/210 + g**6/30 - g**5/20 - 2*g**2. Factor d(t).
-t**2*(t - 3)*(t - 1)
Let t(g) be the first derivative of g**4/16 + g**3/4 - 1. Solve t(d) = 0 for d.
-3, 0
Let t be (-5)/(-20) + (-262)/(-8). Factor 15*y**2 - 4*y + 24*y**3 + y - t*y**3 - 3*y.
-3*y*(y - 1)*(3*y - 2)
Let p(f) = -f**2 - 7*f - 8. Let d(s) = 3*s**2 + 27*s + 33. Let c(l) = -2*d(l) - 9*p(l). Suppose c(i) = 0. Calculate i.
-2, -1
Let q(j) be the first derivative of j**4 - 14*j**3/3 + 7*j**2 - 4*j + 14. Suppose q(x) = 0. What is x?
1/2, 1, 2
Factor -2/3 - 4/3*u + 2/3*u**4 + 4/3*u**3 + 0*u**2.
2*(u - 1)*(u + 1)**3/3
Suppose -2*s + 5*n + 5 = 0, -5*s + n - 1 = -2. Let o = 3 + s. Factor 0*j**3 + 0*j - 5*j**3 - 4 + 6*j + o*j**3.
-2*(j - 1)**2*(j + 2)
Suppose 2*t - 9 = -3. Let n be -1 - (42/(-10))/t. Determine c, given that 0*c - 2/5 + n*c**2 = 0.
-1, 1
Determine z so that -z - 2*z**4 + 1 + 3 + z**5 + 2*z**2 - 4 = 0.
-1, 0, 1
Let y(u) be the first derivative of -u**7/84 + u**6/60 + u**5/40 - u**4/24 - 3*u - 3. Let t(n) be the first derivative of y(n). Suppose t(f) = 0. What is f?
-1, 0, 1
Let x**2 - 4*x**2 + 3*x**5 - 79*x**4 + 9*x**3 + 70*x**4 = 0. What is x?
0, 1
Let -1/6*o**4 - 1/3*o**3 + 0*o + 0 - 1/6*o**2 = 0. Calculate o.
-1, 0
Factor -6/5*i**4 + 144/5 + 36/5*i**2 - 168/5*i + 18/5*i**3.
-6*(i - 2)**3*(i + 3)/5
Let g(o) = o**2 + 6*o + 5. Let x be g(-6). Find n, given that -143*n**3 + 6*n**2 - 4*n + 212*n**4 - 105*n**x - 9*n**2 + 43*n**2 = 0.
0, 2/7, 1/3, 2/5, 1
Let k be 3/1*12/6. Let i(d) = -14*d**4 - 6*d**3 - 14*d**2 - 17. Let x(v) = 8*v**2 - 3*v**2 - 1 + 5*v**4 + 2*v**3 + 7. Let l(y) = k*i(y) + 17*x(y). Factor l(c).
c**2*(c - 1)**2
Suppose 2*g = -3*g - 5. Let w be ((-2)/10)/(g/6). Factor -4/5*r**2 + 0*r + 0*r**4 - 2/5*r**5 + w*r**3 + 0.
-2*r**2*(r - 1)**2*(r + 2)/5
Solve -2/3*q**2 - 8/3*q - 8/3 = 0 for q.
-2
Suppose -4*l = -4*b - 4, -2*b - 1 = -5*l + 1. Let c(m) = 2*m**2 - 22*m + 22. Let g be c(10). What is t in -2/5*t**g + 0 - 1/5*t**3 + l*t = 0?
-2, 0
Let v(s) = -s**2 - 7*s - 5. Let c be v(-5). Let c*w**5 - 3*w**5 - 3*w**5 + 4*w**5 = 0. Calculate w.
0
Suppose -8 = -4*f, 0*n - 3*f = -n + 3. Suppose 3*t - 7 = -2*b + 8, 0 = -t - 2*b + n. Factor -4*g**5 - 3*g**4 + 4*g**5 + t*g**5.
3*g**4*(g - 1)
Let n(m) be the third derivative of 0 + 1/100*m**5 + 1/560*m**8 - 1/350*m**7 + 0*m + 0*m**4 + 0*m**3 + 2*m**2 - 1/200*m**6. Factor n(s).
3*s**2*(s - 1)**2*(s + 1)/5
Let l(o) be the first derivative of o**2 - 1/18*o**5 + 1/60*o**6 + 0*o + 1/18*o**4 + 0*o**3 + 2. Let m(x) be the second derivative of l(x). Factor m(d).
2*d*(d - 1)*(3*d - 2)/3
Let o be (24/32*(-16)/(-18))/2. Determine a so that -1/3*a + 1/3*a**3 - o*a**2 + 1/3 = 0.
-1, 1
Factor k + 1/4*k**2 + 3/4.
(k + 1)*(k + 3)/4
Let 1/4*d**2 - 1/4*d + 0 = 0. What is d?
0, 1
Let w(b) be the third derivative of 1/3*b**3 + 0*b + 1/420*b**7 + b**2 + 1/120*b**6 - 1/40*b**5 + 0 - 1/12*b**4. Find s such that w(s) = 0.
-2, 1
Suppose 0 = 5*q + 25, 4*q = -m - 73 - 65. Let j = 594/5 + m. Find x, given that -2*x - 2/5*x**3 - j - 8/5*x**2 = 0.
-2, -1
Let q(g) be the third derivative of 0 + 13/30*g**5 + 4/105*g**7 + 0*g + 1/5*g**6 - 3*g**2 + 1/2*g**4 + 1/3*g**3. Determine n, given that q(n) = 0.
-1, -1/2
Let o(b) be the third derivative of b**5/140 + 3*b**4/56 + 6*b**2. Factor o(i).
3*i*(i + 3)/7
Factor -9*b**3 - 2*b + 12*b**3 - b.
3*b*(b - 1)*(b + 1)
Let i(q) be the first derivative of q**4/28 - 2*q**3/7 + 6*q**2/7 - 8*q/7 - 1. Factor i(g).
(g - 2)**3/7
Let x = 2 + 2. Solve -x*t + 3*t + 15*t**2 + 6*t + t = 0 for t.
-2/5, 0
Let g(b) be the first derivative of -b**3/6 - b**2/2 - b/2 + 13. Find h such that g(h) = 0.
-1
Solve -4394 + 20*v**2 - 87*v**2 - 1014*v - 11*v**2 - 2*v**3 = 0 for v.
-13
Let y be (2 - 2)/(3/3). Let f(t) be the second derivative of -2*t + 0*t**3 + 0*t**2 + y + 0*t**4 - 1/80*t**5. Factor f(l).
-l**3/4
Let f = -8 + 10. Let w(d) be the third derivative of 0 + 0*d - 1/15*d**3 + 0*d**4 + 1/150*d**5 - f*d**2. Find j, given that w(j) = 0.
-1, 1
Let p(c) = -12*c**2 + 7*c - 4*c + 7*c**3 + 3 + 2*c**3. Let w(o) = -o**4 + 10*o**3