= 0?
-1, 0, 2
Let y be (2*6/(-16))/((-6)/4). Let -3/2*x**3 - 2*x**2 - y*x + 0 = 0. What is x?
-1, -1/3, 0
Suppose -2*t - 17 + 25 = 0. Let n(d) be the second derivative of 5/24*d**t + d + 1/6*d**3 + 1/60*d**6 + 0 + 0*d**2 + 1/10*d**5. Factor n(c).
c*(c + 1)**2*(c + 2)/2
Let f(b) = -3*b - 1. Let a be f(-2). Suppose 0 = -5*i - 0*i + a. Solve 3*r + r**2 + i + 0*r - r = 0 for r.
-1
Let b(o) be the first derivative of -5*o**6/24 + 3*o**5/5 - 9*o**4/16 + o**3/6 + 25. Let b(i) = 0. Calculate i.
0, 2/5, 1
Let j be 3/((-75)/40)*5. Let h be (-7)/(-2)*j/(-7). Find c such that 2*c**3 - 1/3*c**4 - 13/3*c**2 + h*c - 4/3 = 0.
1, 2
Let z = 29/42 - 5/14. Let 4/3 + z*c**2 - 4/3*c = 0. What is c?
2
Factor -4/3*g**2 - 5/3*g - 1/3*g**3 - 2/3.
-(g + 1)**2*(g + 2)/3
Let c = 32 - 32. Let d(y) be the first derivative of -9/25*y**5 + c*y**2 - 4 + 0*y + 3/4*y**4 - 2/5*y**3. Find v such that d(v) = 0.
0, 2/3, 1
Let -61 + 4 + 105*g - 165*g - 3*g**2 = 0. What is g?
-19, -1
Let a(n) be the first derivative of n**6/3 - 24*n**5/35 - 2*n**4/7 + 4*n**3/3 - 3*n**2/7 - 4*n/7 - 14. Solve a(v) = 0 for v.
-1, -2/7, 1
Suppose 0 + 65/3*o**3 + 20/3*o - 10*o**4 - 20*o**2 + 5/3*o**5 = 0. What is o?
0, 1, 2
Let u(q) = 12*q**2 + 15*q - 9. Let x(d) = 3*d**2 + 4*d - 2. Let b(f) = 2*u(f) - 9*x(f). Suppose b(i) = 0. What is i?
-2, 0
Let j = -32 + 34. Let r = -2/101 + 208/303. Determine s so that -2/3*s**3 + 2/3*s**j + 2/3*s - r = 0.
-1, 1
Let w(p) be the first derivative of -2 + 1/2*p**2 + 1/3*p**3 + 0*p. Suppose w(z) = 0. Calculate z.
-1, 0
Let s(n) be the second derivative of -n**7/6300 + n**6/900 + n**4/4 + 2*n. Let b(v) be the third derivative of s(v). Factor b(q).
-2*q*(q - 2)/5
Suppose -3*w**3 + w**3 + 0*w**3 + 4*w**3 - 2*w = 0. Calculate w.
-1, 0, 1
Let d(w) be the third derivative of w**7/70 - w**6/20 + w**4/4 - w**3/2 - 6*w**2. Factor d(m).
3*(m - 1)**3*(m + 1)
Let v(w) = -w**3 + 5*w**2 + 2. Let n be v(5). Suppose 2 + n = r. Let -2/3*l**5 - 2/3 - 2/3*l**r - 2/3*l + 4/3*l**3 + 4/3*l**2 = 0. What is l?
-1, 1
Let k = -2/29 - -33/58. Let i(n) be the first derivative of n - k*n**2 - 21/4*n**3 - 1. Factor i(o).
-(7*o + 2)*(9*o - 2)/4
Let n be (-114)/24 - (-6 - 0). Let u(c) be the first derivative of 2/5*c**5 + 4 - c - n*c**4 + 1/2*c**2 + c**3. Factor u(y).
(y - 1)**3*(2*y + 1)
Suppose -12 = 28*w - 30*w. Suppose p - 6*p + 10 = 0. Factor w*n**2 - n**3 + 2*n - 4*n**p - n**2 - n**4 - n.
-n*(n - 1)*(n + 1)**2
Let l be ((-16)/(-6))/(10/15). Suppose s - 9 = 2*p, -p + l*p + 21 = 3*s. Factor 0*x**5 + 0*x**4 - x**s + x**4 - x**2 + x**3 + 0*x**4.
-x**2*(x - 1)**2*(x + 1)
Let u be 12/(-18)*6/8*0. Let m(k) be the third derivative of 1/60*k**5 - 1/6*k**4 + 2/3*k**3 - k**2 + 0 + u*k. Solve m(g) = 0.
2
Let o be 8/(-4) - 18/(-3). Let p be 6/(-4) + 6/o. Suppose -1/2*j**3 + 0 + p*j**2 + 1/2*j = 0. Calculate j.
-1, 0, 1
Let m = 10 - 8. Factor 3*q**m - 2*q**2 + 2*q**2 + 0*q**2 - 3.
3*(q - 1)*(q + 1)
Let q(w) = -w**3 + 11*w**2 + 9*w + 39. Let v be q(12). Solve 0 + 2/11*c**v + 0*c - 2/11*c**2 = 0 for c.
0, 1
Let c(x) be the third derivative of 0 - 1/1512*x**8 + 0*x + 0*x**4 + 0*x**6 + 0*x**3 + 0*x**7 + 0*x**5 - 2*x**2. Suppose c(l) = 0. What is l?
0
Let q be (-1 - -5) + 10 + -11. Let i(o) be the first derivative of 1/2*o + 2 - 1/12*o**q - 1/8*o**2. Let i(z) = 0. What is z?
-2, 1
Let t be 4/(-8) - 380/(-120). Solve -t*y - 8/3 - 2/3*y**2 = 0.
-2
Let k be 17/153 + (-5)/(-9). Factor -2/9*v**4 + 2/9*v + 0 - k*v**2 + 2/3*v**3.
-2*v*(v - 1)**3/9
Factor 3/7*l**3 + 12/7*l**2 + 12/7*l + 0.
3*l*(l + 2)**2/7
Let m(r) be the third derivative of 7/72*r**4 - 3*r**2 + 0 + 0*r - 1/45*r**5 + 1/9*r**3. Factor m(x).
-(x - 2)*(4*x + 1)/3
Determine j so that 9*j**4 + 0*j**2 - j**2 - 8*j**4 = 0.
-1, 0, 1
Let f be ((-6)/3)/(-2)*2. Suppose -b - 4*b + 3*b - f*b**2 = 0. Calculate b.
-1, 0
Let c be 10/(-3)*3*(-3)/6. Let t(o) be the second derivative of -2*o + 0*o**2 + 0 - 1/6*o**3 + 1/20*o**c + 0*o**4. Factor t(d).
d*(d - 1)*(d + 1)
Factor 0*x**2 + 0*x**4 + 0 - 4/3*x**5 + 4/3*x**3 + 0*x.
-4*x**3*(x - 1)*(x + 1)/3
Let b(o) be the first derivative of -o**6/4 - 12*o**5/5 - 9*o**4 - 16*o**3 - 12*o**2 + 29. What is f in b(f) = 0?
-2, 0
Let r(m) be the second derivative of -1/18*m**3 + 1/180*m**6 + 0*m**5 + 0*m**2 + 0 + 2*m - 1/24*m**4. Let r(a) = 0. What is a?
-1, 0, 2
Factor 1/3*j**2 + 2/3*j - 2/3*j**3 - 1/3.
-(j - 1)*(j + 1)*(2*j - 1)/3
Let x(n) be the second derivative of -5*n**7/42 - n**6/2 - n**5/2 - 8*n. Solve x(p) = 0 for p.
-2, -1, 0
Solve 4 - 2 + 9*i - 4 - 3*i**2 - 4 = 0.
1, 2
Let h(t) be the first derivative of -3*t**4/16 + t**3/2 - 15. Factor h(m).
-3*m**2*(m - 2)/4
Suppose -6*l + i + 90 = -l, -3*l + 47 = -2*i. Suppose 0 = 5*r + c - 15, 3*c - 6*c + l = 2*r. Factor -y**3 - 1 + y**2 + 1 + y**r - y.
-y*(y - 1)**2
Let j(t) be the third derivative of -t**6/600 - t**5/50 - t**4/10 - 4*t**3/15 + t**2. Factor j(k).
-(k + 2)**3/5
Let l be 18/6 + (0 - -2) + -2. Factor -3/4*q + 3/4*q**2 + 3/4*q**l - 3/4.
3*(q - 1)*(q + 1)**2/4
Let r(v) be the third derivative of v**2 + 1/60*v**6 + 1/12*v**4 + 0*v**3 - 1/15*v**5 + 0 + 0*v. Find g, given that r(g) = 0.
0, 1
Let m(g) be the second derivative of -g**5/40 - g**4/8 - g**3/6 + 10*g. Determine a so that m(a) = 0.
-2, -1, 0
Suppose 0 = -4*r - 3*q - 28, 4*q - 4 = 6*r - r. Let j be ((-18)/(-12))/((-15)/r). Factor -1/5*a + 0 + 2/5*a**2 - j*a**4 + 1/5*a**5 + 0*a**3.
a*(a - 1)**3*(a + 1)/5
Let h be (0/(2/1))/(-3 - -6). Solve 0*a + 2/9*a**4 + h*a**2 - 4/9*a**3 + 0 = 0.
0, 2
Let j = -199 + 199. Determine z, given that 6/7*z**3 - 6/7*z**4 + 2/7*z**5 + j*z + 0 - 2/7*z**2 = 0.
0, 1
Factor 0 - 3/5*w**4 + 3/5*w**2 + 0*w**3 + 0*w.
-3*w**2*(w - 1)*(w + 1)/5
Let l(x) be the first derivative of -3*x**5/5 - 9*x**4 - 22*x**3 + 126*x**2 - 147*x - 33. Factor l(g).
-3*(g - 1)**2*(g + 7)**2
Suppose 0 = 4*j + 44 - 56. Let n(f) be the third derivative of -4*f**2 + 1/3*f**j - 1/24*f**4 + 0 + 0*f - 1/60*f**5. Let n(i) = 0. Calculate i.
-2, 1
Let n(s) be the third derivative of 0*s + 1/12*s**3 - 1/15*s**6 + 1/6*s**5 + 0 - 4*s**2 - 1/6*s**4. Find o, given that n(o) = 0.
1/4, 1/2
Factor -5/6*y**2 + 1/6*y**3 + 0 + 1/2*y + 1/6*y**4.
y*(y - 1)**2*(y + 3)/6
Let y(x) be the first derivative of 19/14*x**4 + 8/7*x + 16/7*x**2 + 2/5*x**5 + 50/21*x**3 + 1/21*x**6 + 3. Solve y(a) = 0.
-2, -1
Let m be (-2)/7 + (-135)/(-252). Solve 0*y + m*y**3 - 1/2*y**2 + 0 = 0.
0, 2
Let i = 61 - 28. Let s = -31 + i. Factor -2/9*t + 0 + 2/9*t**s.
2*t*(t - 1)/9
Let d(l) be the first derivative of -l**4/10 + 2*l**3/15 + 4*l**2/5 - 8*l/5 - 12. Let d(s) = 0. Calculate s.
-2, 1, 2
Let q(y) be the second derivative of y**7/1260 + y**6/360 + y**4/12 - 3*y. Let p(l) be the third derivative of q(l). Factor p(v).
2*v*(v + 1)
Let m(b) be the second derivative of b**4/6 - 4*b**2 - 7*b. Solve m(h) = 0.
-2, 2
Let f be (-16)/(-10) + (-4)/(-10). What is j in 3*j**2 - f*j**2 + j + 0 + 2*j + 2 = 0?
-2, -1
Determine m so that 5*m**2 + 2 - 2 - 2*m - 7*m**2 = 0.
-1, 0
Let -3*i**3 + 343*i**2 - 341*i**2 + i**3 + 6*i - 2*i = 0. What is i?
-1, 0, 2
Factor 0*y**3 + 0*y + 0*y**2 - 7/3*y**5 + 0 + 2/3*y**4.
-y**4*(7*y - 2)/3
Let t(q) be the third derivative of 0 - 3/20*q**5 - 2*q**3 - 1/80*q**6 + 0*q - 3/4*q**4 - 2*q**2. Factor t(m).
-3*(m + 2)**3/2
Let t(a) be the second derivative of a**5/100 + a**4/40 + 3*a**2/2 + 3*a. Let z(x) be the first derivative of t(x). Factor z(i).
3*i*(i + 1)/5
Let z(h) be the second derivative of -h**4/108 - 19*h**3/27 - 361*h**2/18 - h - 8. Factor z(i).
-(i + 19)**2/9
Let k = 27 + -25. Let 26 + 10 + 4*d**2 - 22*d - k*d = 0. What is d?
3
Let g(k) = 2*k - 17. Let c be g(10). Factor -4 + 2*z**c + 2*z**3 + 4 - 4*z**2.
4*z**2*(z - 1)
Let x(s) = -s**3 - 6*s**2 - 5*s + 1. Let n be x(-5). Let w = 3 - n. Factor -4*p**2 + 3*p**w + 3*p + 2 + 2*p**2.
(p + 1)*(p + 2)
Let k = 14 + -11. Let z(r) be the first derivative of -k*r**2 - 1/2*r**4 + 2*r**3 - 2 + 2*r. Factor z(o).
-2*(o - 1)**3
Let y(o) be the third derivative of o**9/181440 - 2*o**5/15 - 7*o**2. Let z(v) be the third derivative of y(v). Determine h so that z(h) = 0.
0
Let w(s) be the third derivative of -s**7/2520 + s**4/12 - s**2. Let v(t) be the second derivative of w(t). Factor v(h).
-h**2
Let q be (-38)/(-14) + 7/((-49)/(-2)). Let o(v) be the first derivative of 2*v - 1 + 1/2*v**2 - 1/3*v**q. Factor o(u)