. Let q(o) = 0. What is o?
-1, 0, 2
Suppose 5*j + 3*t = 7, 3*t - 4 = -j + 5*t. Let n(k) be the second derivative of 0 - j*k + 1/2*k**4 + k**2 + 1/10*k**5 + k**3. Suppose n(b) = 0. Calculate b.
-1
Let a be (-220)/(-550) - (26/40 + -1). Let 3/2*d - 3/4*d**4 + a*d**2 + 0 - 3/2*d**3 = 0. Calculate d.
-2, -1, 0, 1
Let f(d) be the second derivative of -d**5/20 + d**4/12 + d**3/3 + 29*d. Let f(g) = 0. What is g?
-1, 0, 2
Let j be (-56)/(-16)*(-2)/(-14). Factor -j*o**3 - 1/2*o**2 + 1/2*o + 1/2.
-(o - 1)*(o + 1)**2/2
Find f such that -2*f**2 + 6*f**3 - 5*f + 2*f - 4*f + 3*f = 0.
-2/3, 0, 1
Let o = -58 - -292/5. Factor 0*g - 2*g**3 + o*g**2 + 0 + 8/5*g**4.
2*g**2*(g - 1)*(4*g - 1)/5
Let j(y) be the first derivative of y**8/420 - y**6/45 + y**4/6 - 5*y**3/3 + 7. Let i(u) be the third derivative of j(u). Suppose i(r) = 0. What is r?
-1, 1
Let z(t) = -t**3 - t - 1. Let d be z(-1). Let p = d + 1. Factor 3 + 2*k - 3 - p*k**2.
-2*k*(k - 1)
Let s be (-6)/(-4)*(0 - 2). Let i be (-2)/(-2)*s/(-9). Determine m, given that -1/3*m**2 - 2/3*m - i = 0.
-1
Let l(f) be the third derivative of -f**8/5376 - f**7/5040 + f**6/576 + f**5/240 - f**4/8 - 2*f**2. Let y(g) be the second derivative of l(g). Factor y(v).
-(v - 1)*(v + 1)*(5*v + 2)/4
Let i be -1*1 - (-14 - -12). Suppose 4*h - 9 + i = 0. Factor -2/7*g**4 - 4/7*g**3 + 2/7*g**5 - 2/7 + 4/7*g**h + 2/7*g.
2*(g - 1)**3*(g + 1)**2/7
Factor -j**2 + 3/4 + 1/2*j - 1/2*j**3 + 1/4*j**4.
(j - 3)*(j - 1)*(j + 1)**2/4
Let b(j) be the third derivative of -j**5/16 + 3*j**4/32 + j**3/4 - 11*j**2. Solve b(y) = 0.
-2/5, 1
Let b(g) be the second derivative of -2/15*g**3 + 0*g**2 - 1/10*g**4 - 8*g + 0 - 1/50*g**5. Factor b(r).
-2*r*(r + 1)*(r + 2)/5
Find j, given that 1/2*j**3 + 0 - 1/2*j - 1/2*j**4 + 1/2*j**2 = 0.
-1, 0, 1
Let d = 106 - 102. Let b(x) be the second derivative of 3*x + 25/12*x**d - 5/3*x**3 + 1/2*x**2 + 0. Factor b(m).
(5*m - 1)**2
Let f(t) = t**2 + 6*t. Let v be f(-3). Let p(u) = -u**3 - u**2 + u - 1. Let s(y) = 6*y**3 + 9*y**2 - 6*y + 9. Let b(d) = v*p(d) - s(d). Factor b(g).
3*g*(g - 1)*(g + 1)
Let u be (-3)/(-36) - 10/(-60). Suppose -u*z - 1/2*z**2 - 1/4*z**3 + 0 = 0. Calculate z.
-1, 0
Let k = 13 - 10. Let -15*o + 12*o - k*o**2 + 6*o = 0. Calculate o.
0, 1
Let a = 276 - 1103/4. Find h such that -1/2 - 3/4*h - a*h**2 = 0.
-2, -1
Let z(w) = -w**2 - 21*w + 27. Let d be z(-22). Factor 0 + 5/4*s**d + 21/4*s**3 + 11/4*s**2 + 17/4*s**4 + 1/2*s.
s*(s + 1)**3*(5*s + 2)/4
Let m = -7 - -10. Let y(h) = h**2 + 4*h + 4. Let k be y(-4). Suppose 3*x**k - x**5 - x**5 + 3*x**2 + x**m - 6*x**4 + x = 0. What is x?
-1, -1/2, 0, 1
Let b(u) be the third derivative of -u**8/1344 - u**7/280 - u**6/240 + u**5/120 + u**4/32 + u**3/24 - 4*u**2. Suppose b(x) = 0. What is x?
-1, 1
Suppose -170 = 5*v + 60. Let u = v + 140/3. Factor 0 + 4/3*l + u*l**2.
2*l*(l + 2)/3
Suppose 20*x**3 - 2*x**4 - 47 - 13*x + 10*x**4 - 7*x + 39 = 0. Calculate x.
-2, -1, -1/2, 1
Let z be -1 - (-2 + -1) - -1. Factor -2*w - 4*w**z + 13*w**3 + 2 - 7*w**3 - 2*w**2.
2*(w - 1)**2*(w + 1)
Suppose 7*b - 6*b = 2. Factor -3*h**2 + 6*h**2 + h**2 - h**b.
3*h**2
Suppose 3*c - 3 = 4*m, 27 = 4*m - 0*m + 3*c. Find b, given that -4*b**3 - 8*b + 5*b + 7*b + 0*b**m = 0.
-1, 0, 1
Let j(o) be the first derivative of -o**7/210 + o**6/40 - o**5/20 + o**4/24 + o**2/2 - 3. Let k(h) be the second derivative of j(h). Factor k(y).
-y*(y - 1)**3
Let q(i) = -i**4 + i**3 - i**2 + i. Let f be -4 + (-3 - -6) - -4. Let c(m) = -m**5 + 7*m**4 - 5*m**3 + 3*m**2 - 4*m. Let d(v) = f*c(v) + 15*q(v). Factor d(y).
-3*y*(y - 1)**3*(y + 1)
Let x(l) = 230*l**3 - 175*l**2 - 320*l - 175. Let p(t) = 21*t**3 - 16*t**2 - 29*t - 16. Let u(f) = -65*p(f) + 6*x(f). Factor u(w).
5*(w - 2)*(w + 1)*(3*w + 1)
Determine y, given that 15*y**5 + 6*y**5 - 6*y**4 - 2*y**4 - 17*y**5 + 4*y**3 = 0.
0, 1
Let o(x) = -6*x**4 + 13*x**3 - 16*x**2 + 11*x + 1. Let d(t) = -17*t**4 + 39*t**3 - 49*t**2 + 33*t + 2. Let n(h) = -3*d(h) + 8*o(h). Factor n(z).
(z - 2)*(z - 1)**2*(3*z - 1)
Let 0*l + 2/11*l**2 - 4/11*l**3 + 0 + 2/11*l**4 = 0. Calculate l.
0, 1
Suppose 0*v - 13 = -5*q - v, 2*q - v - 1 = 0. Suppose q*c - 12 = -2*c. Solve j**2 - j**2 - j**4 + j**c = 0 for j.
0, 1
Let j(y) be the first derivative of -y**4/16 - y**3/6 + y**2/8 + y/2 + 6. Suppose j(p) = 0. What is p?
-2, -1, 1
Let a(r) = -r + 10. Let o = -26 - -33. Let l be a(o). Factor 0 + 1/4*k**5 + 1/2*k**4 - 1/4*k + 0*k**l - 1/2*k**2.
k*(k - 1)*(k + 1)**3/4
Let z(v) be the first derivative of -v**4 + 4*v**3 - 16 + 11 - 4*v**2 + 0*v**3. Determine x so that z(x) = 0.
0, 1, 2
Let v(l) be the third derivative of l**5/15 + l**4/3 - 3*l**2. Factor v(o).
4*o*(o + 2)
Let v be (-7)/(-14)*1/4. Let u(s) be the third derivative of 0*s + 0 - 1/40*s**6 + s**2 + s**3 + v*s**4 - 1/10*s**5. Let u(w) = 0. Calculate w.
-2, -1, 1
Let j(g) = -g. Let t(y) = -3*y + 16. Let h(z) = -2*j(z) - t(z). Let i be h(4). Suppose 1/3*o**2 - 2/3*o**3 + 1/3*o**i + 0 + 0*o = 0. Calculate o.
0, 1
Let q(k) be the first derivative of 0*k**2 + 2 + 0*k - 1/3*k**6 + 1/2*k**4 - 2/5*k**5 + 2/3*k**3. Let q(g) = 0. Calculate g.
-1, 0, 1
Let f(b) be the third derivative of 0*b + 0*b**3 + 0 - 2*b**2 - 1/36*b**4 + 1/90*b**5. Factor f(n).
2*n*(n - 1)/3
Suppose z = 4*b + 20, 0 = 5*z + 6*b - b. Suppose 0 = 5*q + 2*r - 6, -3*r + z = q + 4*q. Factor 0*p - 3/5*p**3 + 2/5*p**q + 0.
-p**2*(3*p - 2)/5
Suppose -189 - 6*i + 185 + 0*i + 2*i**3 = 0. What is i?
-1, 2
Let y = -2309/6 - -385. Let 1/2*g**3 + 0 + y*g + 1/2*g**2 + 1/6*g**4 = 0. Calculate g.
-1, 0
Suppose -4*x = 2*s - 5*x - 13, -s + 3*x = -19. Find a such that 0*a + 0*a**2 + 0 - 9/2*a**s - 3*a**3 - 3/2*a**5 = 0.
-2, -1, 0
Let l(d) be the first derivative of d**6/2 + 63*d**5/20 + 63*d**4/16 + d**3 + 70. Determine t, given that l(t) = 0.
-4, -1, -1/4, 0
Let w = -7 + 7. Suppose 11 = 5*q - 2*q - 2*c, -5*q + 3*c = -18. Factor w*n**q - 2/7 + 4/7*n**2 + 0*n - 2/7*n**4.
-2*(n - 1)**2*(n + 1)**2/7
Let z(b) = -18*b**4 - 48*b**3 + b**2 + 27*b - 4. Let t(s) = -s**3 + s. Let a(p) = 14*t(p) - 2*z(p). Let a(d) = 0. Calculate d.
-2, -1, 2/9, 1/2
Let g(p) be the third derivative of -p**6/160 - 3*p**5/80 - 3*p**4/32 - p**3/8 + 21*p**2. Factor g(j).
-3*(j + 1)**3/4
Factor 5*v**5 - 40*v + 30*v**3 + 14*v**2 + 0*v**2 - v**2 + 7*v**2 - 25*v**4.
5*v*(v - 2)**3*(v + 1)
Factor -5*j + 3 + 0*j**2 - j + 3*j**2.
3*(j - 1)**2
Let l = 38/7 + -16/21. Factor -2/3*y**3 - 10/3*y**2 - 2 - l*y.
-2*(y + 1)**2*(y + 3)/3
Let o = 73/80 - 5/16. Determine d, given that 0*d - o*d**2 + 0 = 0.
0
Let w(v) be the first derivative of 0*v - 2/33*v**3 + 5 - 1/11*v**2. Factor w(o).
-2*o*(o + 1)/11
Let j(s) be the second derivative of 2/135*s**6 + s - 1/36*s**4 + 0 - 1/18*s**2 + 1/45*s**5 - 2/27*s**3. What is y in j(y) = 0?
-1, -1/2, 1
Let w(y) be the third derivative of y**6/900 - y**5/450 - 4*y**2. Solve w(v) = 0.
0, 1
Factor 0*r - 2/5*r**4 + 0*r**2 + 0 - 2/5*r**3.
-2*r**3*(r + 1)/5
Let g(b) be the second derivative of b**7/2520 - b**6/540 + b**5/360 - b**3/3 + 3*b. Let t(l) be the second derivative of g(l). Factor t(s).
s*(s - 1)**2/3
Let z(v) be the second derivative of v**5/60 + 5*v**4/72 + v**3/9 - 2*v**2 + 4*v. Let l(b) be the first derivative of z(b). Factor l(q).
(q + 1)*(3*q + 2)/3
Let u(w) be the third derivative of -w**6/360 - w**5/36 - w**4/24 + w**3/2 + 18*w**2. Factor u(f).
-(f - 1)*(f + 3)**2/3
Factor 4/3*t - 4/3*t**2 + 0.
-4*t*(t - 1)/3
Let v(w) be the first derivative of w**2 - 2/3*w - 1/9*w**6 - 1/3*w**4 - 4/9*w**3 - 2 + 2/5*w**5. Factor v(b).
-2*(b - 1)**4*(b + 1)/3
Find r such that -1/2*r - 1/4*r**4 + 0*r**2 + 1/2*r**3 + 1/4 = 0.
-1, 1
Let q(z) be the first derivative of z**6/120 - z**5/20 + z**4/12 - 3*z**2/2 + 4. Let y(k) be the second derivative of q(k). Find v, given that y(v) = 0.
0, 1, 2
Factor 5*d**2 + 13*d + 7*d - 5*d + 8 + 2.
5*(d + 1)*(d + 2)
Let z be 1 + (0 - -2) + 11/(-4). Factor 0*w - z*w**2 - 1/4*w**4 + 0 + 1/2*w**3.
-w**2*(w - 1)**2/4
Let c be (-108)/(-90)*(-10)/(-16). Factor 0*p + 0 + c*p**3 + 3/4*p**2.
3*p**2*(p + 1)/4
Let w(s) be the second derivative of 5*s**6/24 + s**5/6 + s**4/24 + 7*s**2/2 - 5*s. Let y(g) be the first derivative of w(g). Factor y(a).
a*(5*a + 1)**2
Let d = 32/49 + 2/147. Let m(c) = c + 6. Let n be m(-6). Factor 4/3*u + n + d*u**2.
2*u*(u + 2)/3
Suppose -3*c - 3*y + 0*y = -18, 2*