 0. What is q?
2/7, 1
Let q**2 + 1/2*q**5 - 1/2*q + 0 + 0*q**3 - q**4 = 0. What is q?
-1, 0, 1
Let b = 10 - 14. Let w be (-1)/3*24/b. Factor -q**2 - 8 + 8*q - 3*q**2 + w*q**2.
-2*(q - 2)**2
Let d(a) be the second derivative of -a**7/5040 - a**6/1440 + 7*a**4/12 - a. Let c(g) be the third derivative of d(g). Factor c(r).
-r*(r + 1)/2
Let n(o) = -2*o**3 + o**2 + 2*o - 1. Let q(m) = m**3 - m. Let s(v) = 6*n(v) + 15*q(v). Let s(p) = 0. What is p?
-2, -1, 1
Let m(k) be the first derivative of -k**5/5 + 2*k**3/3 - k + 4. Let m(n) = 0. What is n?
-1, 1
Let n be (0*2/4)/(-1 - -2). Factor 0*g - 2/5*g**3 + n + 4/5*g**2.
-2*g**2*(g - 2)/5
Let h(i) be the third derivative of 0 + 0*i + 2*i**2 + 0*i**3 - 1/60*i**5 + 1/24*i**4. Find v, given that h(v) = 0.
0, 1
Suppose 5*z - 12 = -3*m, 4*z - 16 = -3*m - 7. Solve 2*g**3 + 2*g + 0*g - z*g**3 - g**3 = 0 for g.
-1, 0, 1
Let y = 0 - -7. Let v be (-7)/(-5)*6/y. Factor 0 - 2/5*j**3 + v*j**2 - 4/5*j.
-2*j*(j - 2)*(j - 1)/5
Let o(v) = -2*v + 5. Let n(h) = h - 2. Let q(d) = -13*n(d) - 6*o(d). Let i be q(-6). Find r such that -2/3*r - 1/3 - 1/3*r**i = 0.
-1
Let a be (-1)/((-2)/(-16)*-2). Determine z so that -10*z - 3*z**a - 7 + 8*z**2 - 10*z**5 - 1 + 4 - z**4 + 20*z**3 = 0.
-1, -2/5, 1
Let o be ((-4)/216)/(1*(-4)/2). Let j(k) be the third derivative of 2*k**2 + 1/270*k**5 + 0*k + 0*k**3 + o*k**4 + 0. Determine i so that j(i) = 0.
-1, 0
Let o(a) be the third derivative of a**6/200 + a**5/50 + a**4/40 + 7*a**2. Suppose o(p) = 0. Calculate p.
-1, 0
Let m = 919 - 917. Factor 8/7*r - 6/7*r**m - 2/7.
-2*(r - 1)*(3*r - 1)/7
Suppose g - 2 = -0. Let -28*f**g - 18*f**5 - f**4 + 25*f**4 + 8*f + 4*f**2 + 10*f**3 = 0. Calculate f.
-1, 0, 2/3, 1
Let p(k) be the first derivative of 3*k**4/4 + 2*k**3 + 3*k**2/2 - 2. Let p(h) = 0. Calculate h.
-1, 0
Let x(r) = -4*r**5 + 7*r**3 - 2*r**2 + 5*r. Let o(f) = -5*f**5 - f**4 + 7*f**3 - 3*f**2 + 6*f. Let k(l) = 5*o(l) - 6*x(l). Suppose k(c) = 0. What is c?
-3, -1, 0
Let l(u) = -2*u - 4. Let h be l(-3). Suppose -5*a - 4*p - h = 0, -2*p - p = -3*a + 15. Determine n, given that -8/5*n + 0 + 2/5*n**4 + 16/5*n**a - 2*n**3 = 0.
0, 1, 2
Let f(g) be the third derivative of 0*g**3 + 0*g + g**2 + 1/240*g**5 + 0 + 1/48*g**4. Factor f(n).
n*(n + 2)/4
Let v be 6/27 - (-3 - -3). What is t in -2/3*t - v - 2/9*t**3 - 2/3*t**2 = 0?
-1
Suppose 0*r - 2*r = r. Factor r - 2/9*t + 2/9*t**2.
2*t*(t - 1)/9
Let c(f) be the second derivative of -f**4/12 - 4*f**3/3 + 8*f. Let j be c(-8). Factor 0 + j*m + 0*m**2 - 2/3*m**3 + 2/3*m**4.
2*m**3*(m - 1)/3
Suppose -4*w = -h + 5*h + 224, -h + 2*w - 56 = 0. Let u be (-20)/h + 1/2. Factor u*s**2 - 4/7*s**3 + 8/7*s - 2/7*s**4 - 8/7.
-2*(s - 1)**2*(s + 2)**2/7
Let x(l) be the second derivative of l**10/45360 - l**8/5040 + l**6/1080 - l**4/12 + 2*l. Let j(k) be the third derivative of x(k). Find t, given that j(t) = 0.
-1, 0, 1
Let l(z) be the second derivative of z**6/5 - 9*z**5/20 - z**4/4 + 3*z**3/2 - 3*z**2/2 - 4*z. Factor l(k).
3*(k - 1)**2*(k + 1)*(2*k - 1)
Suppose 0 = q - 3*q. Suppose -2*k = -q*k. Factor 0*c + 1/4*c**3 + 0*c**2 + k.
c**3/4
Suppose a + 4 = 3*x, 3*a + 3*x = 4 + 20. Let m = a + -4. Determine k, given that -k + k - 2*k - m - k**2 = 0.
-1
Let p(f) be the first derivative of f**6/420 - f**5/210 - f**4/84 + f**3/21 - 4*f**2 - 3. Let i(g) be the second derivative of p(g). Let i(u) = 0. Calculate u.
-1, 1
Let m(y) be the second derivative of y**5/300 + y**4/120 - 5*y**2/2 - 2*y. Let u(b) be the first derivative of m(b). Factor u(i).
i*(i + 1)/5
Suppose 4*r - 21 = -r + 2*m, -15 = -2*r + 3*m. Factor -2*x - 4*x + 0*x - x**4 + 6*x**r - 3*x**2 + 4*x**4.
3*x*(x - 1)*(x + 1)*(x + 2)
Let h(n) be the first derivative of -n**4/9 + 4*n**3/27 - 9. Factor h(q).
-4*q**2*(q - 1)/9
Let n(g) = g**3 - g. Let a(h) = 6*h**3 + 6. Let m(u) = -a(u) + 9*n(u). Find b, given that m(b) = 0.
-1, 2
Let u(q) be the first derivative of q**4/6 - 4*q**2 - 4*q + 6. Let i(t) be the first derivative of u(t). Solve i(l) = 0 for l.
-2, 2
Let v(k) be the third derivative of -1/12*k**4 + 0 - 1/60*k**5 + 0*k**3 + 0*k - 3*k**2. Factor v(a).
-a*(a + 2)
Let m(d) = -d**2 - 4*d - 8. Let i be m(-10). Let l be i/(-63) + 4/(-18). Let -46/7*p**2 + 0*p + 8/7 - 34/7*p**4 + 66/7*p**3 + l*p**5 = 0. Calculate p.
-1/3, 1, 2
Let g(w) be the third derivative of -w**5/12 - 25*w**4/24 + 5*w**3 + 4*w**2. Let g(u) = 0. What is u?
-6, 1
Suppose -d = -3*v - 2*v - 25, -d = -2*v - 10. Let p(s) be the second derivative of -s + 0 - 1/30*s**6 + 1/20*s**5 + 1/12*s**4 - 1/6*s**3 + d*s**2. Factor p(g).
-g*(g - 1)**2*(g + 1)
Let m(i) be the third derivative of -i**5/600 + i**4/40 - i**3/12 + 15*i**2. Let m(p) = 0. Calculate p.
1, 5
Factor 0*x + 0 - 1/9*x**2 + 1/9*x**3.
x**2*(x - 1)/9
Suppose 3*q = -7*q + 30. Let w(f) be the second derivative of -2*f**2 + 0 - 2*f + 1/3*f**q + 1/6*f**4. Factor w(m).
2*(m - 1)*(m + 2)
Let y(f) be the first derivative of 2*f**2 - 8/5*f**5 + 5*f**4 - 6 - 16/3*f**3 + 0*f. Factor y(d).
-4*d*(d - 1)**2*(2*d - 1)
Let u(h) be the second derivative of -h**5/30 + 5*h**4/36 - 2*h**3/9 + h**2/6 + 22*h. Factor u(a).
-(a - 1)**2*(2*a - 1)/3
Let r = 77/984 - 3/82. Let q(y) be the first derivative of 1/4*y - 3/20*y**5 - 2 + 1/6*y**3 - r*y**6 + 3/8*y**2 - 1/8*y**4. Factor q(f).
-(f - 1)*(f + 1)**4/4
Suppose 8*m - 43 = -27. Solve -3/5*t**m + 3/5*t + 0 = 0.
0, 1
Let s(w) = 2*w + 46. Let g be s(-21). Let c be (5/2)/(1/2). Solve b**g + 3/2*b**3 + 0 + 1/4*b**c + 1/4*b + b**2 = 0.
-1, 0
Suppose 7*r - 3*r - 16 = 0. Let h(v) be the first derivative of 4/9*v**3 + 1 - 1/18*v**6 + 0*v + 4/15*v**5 - 1/6*v**2 - 1/2*v**r. What is i in h(i) = 0?
0, 1
Let n be ((-502)/8)/((-6)/(-24)). Let u = -2257/9 - n. Determine o, given that u - 2/9*o**2 - 2/9*o**3 + 2/9*o = 0.
-1, 1
Let l = 35 - 33. Suppose -15 = -w - 3*f, l*w + f + 15 = 4*f. Determine p, given that 2/7*p + w + 2/7*p**2 = 0.
-1, 0
Let k be (-7 + 200/30)/(-1). Factor -2/3*h + 0*h**2 + k + 2/3*h**3 - 1/3*h**4.
-(h - 1)**3*(h + 1)/3
Let d(o) = o**3 - 5*o**2 + 6*o - 8. Let x be d(4). Suppose -2*w + w + 2 = x. Factor 1 - 6*c + 45/4*c**w - 27/4*c**3.
-(3*c - 2)**2*(3*c - 1)/4
Let h(v) be the first derivative of -2*v**3/33 + 10*v**2/11 - 50*v/11 + 1. What is y in h(y) = 0?
5
Factor 12*a - 5*a**2 - 16 + 2 + 3*a**2 - 4.
-2*(a - 3)**2
Let -2/7 + 2/7*l**2 + 0*l = 0. What is l?
-1, 1
Let w(j) be the first derivative of -j**6/21 - 2*j**5/7 - 9*j**4/14 - 2*j**3/3 - 2*j**2/7 + 18. Determine x so that w(x) = 0.
-2, -1, 0
Suppose -4*f = t - 19, 3 = -5*f + 4*t + 11. Find p such that p**5 + p**5 + p**3 - 2*p - 4*p**f - p**3 + 4*p**2 = 0.
-1, 0, 1
Suppose x - 5 = -2. Suppose 0*f**2 + 1/3*f**4 + 0*f - 1/3*f**x + 0 = 0. What is f?
0, 1
Suppose -x = -79 - 26. Let v be 10/50 + 9/x. Find g such that -16/7*g + 8/7 - v*g**3 + 10/7*g**2 = 0.
1, 2
Let x(v) be the first derivative of 4 + 0*v**2 + 1/2*v**4 + 0*v**3 + 0*v - 2/5*v**5 + 1/12*v**6. Let x(z) = 0. What is z?
0, 2
Factor 0 - 4*p**2 + 12/7*p.
-4*p*(7*p - 3)/7
Suppose -1 = g - 5. Factor -3*c + 3*c - 2 + g*c**2 + 0*c - 2*c**4.
-2*(c - 1)**2*(c + 1)**2
Suppose 0 = 3*t - 2*t. Suppose 23*v - 15 = 28*v, -5*a - 2*v = -9. Find k, given that -4/9*k**2 + t + 0*k - 10/9*k**5 - 2*k**a - 8/3*k**4 = 0.
-1, -2/5, 0
What is s in -1/4*s**4 - 11/4*s + 9/4*s**2 + 1 - 1/4*s**3 = 0?
-4, 1
Let h be (-4)/(-2) - -12*28/(-189). Let h*p - 2/3*p**2 + 2/9*p**4 + 4/9 - 2/9*p**3 = 0. What is p?
-1, 1, 2
Suppose -k + 2*z = 3, -k = -0*z + 3*z - 17. Let x(c) = c**3 - 4*c**2 - 4*c - 5. Let a be x(k). Factor 2/5*v**2 + 0*v + a - 2/5*v**3.
-2*v**2*(v - 1)/5
Let x(v) be the third derivative of v**5/300 - v**4/20 - 40*v**2. Factor x(u).
u*(u - 6)/5
Let m(t) = -5*t**5 - 21*t**4 + 5*t**3 + 10*t**2 - 11*t + 11. Let o(k) = k**5 + 4*k**4 - k**3 - 2*k**2 + 2*k - 2. Let p(c) = 2*m(c) + 11*o(c). Factor p(r).
r**2*(r - 1)*(r + 1)*(r + 2)
Let y(s) be the first derivative of -2*s**5/15 + s**4/2 - 2*s**3/3 + s**2/3 + 4. Determine m, given that y(m) = 0.
0, 1
Suppose -3 = 5*t - 10*t + 3*v, t + 4*v = -4. Let o(s) be the second derivative of 0*s**3 - 1/36*s**4 + s + t + 0*s**2. Factor o(z).
-z**2/3
Let y = -9 - -21. Factor 5*n + 20*n**2 - 16*n**3 - 3*n + n - y*n**4 + 5*n.
-4*n*(n - 1)*(n + 2)*(3*n + 1)
Let s = -10/7 + 57/35. Determine j so that -s*j**2 - 1/5*j**5 + 1/5*j**3 + 0 + 1/5*j**4 + 0*j = 0.
-1,