u**2 = 0?
-2, 1, 2
Let k(g) = -g**2 + 14*g + 5. Let d be k(14). Let -5*s**3 + d*s**3 + 3*s**2 + 2*s + s**3 = 0. What is s?
-2, -1, 0
Let n(g) = g**3 - 8*g**2 + g + 5. Let y be n(8). Solve -10*i**2 + 2*i + 3*i**3 - 2*i + 4*i - 5 + y = 0.
-2/3, 2
Factor 0 + 1/11*b + 1/11*b**5 - 2/11*b**3 + 0*b**2 + 0*b**4.
b*(b - 1)**2*(b + 1)**2/11
Let v(j) = j**3 + 7*j**2 + 6*j + 2. Let l be v(-6). Let z be l/10 - 34/(-30). Factor z*k - 2/3*k**3 - 2/3*k**2 + 0.
-2*k*(k - 1)*(k + 2)/3
Let m(k) be the first derivative of -2/15*k**3 + 2/5*k**2 + 3 - 2/5*k. Find a such that m(a) = 0.
1
Factor -2/5*i**3 - 1/5*i**4 + 2/5*i**2 - 1/5 + 1/5*i**5 + 1/5*i.
(i - 1)**3*(i + 1)**2/5
Let j(d) = d**2 + 8*d + 2. Let f be j(-9). Let o = f - 9. Determine r so that 18*r + 2*r**o + 0*r**2 - r**2 + 27 + 2*r**2 = 0.
-3
Let w be ((-12)/9*-3)/(-6 + 15). Factor 0 - w*l - 2/3*l**2 - 2/9*l**3.
-2*l*(l + 1)*(l + 2)/9
Let d(n) be the third derivative of -n**6/420 - 3*n**2. Factor d(p).
-2*p**3/7
Find q such that 0 - 4/5*q - 4/5*q**2 = 0.
-1, 0
Let y(l) be the second derivative of -l**4/60 + l**3/6 - 21*l. What is g in y(g) = 0?
0, 5
Let z(f) = 15*f**2 - 7*f + 8. Let m(q) = -q**2 + q - 1. Let i(t) = -11*t**2 + 8*t - 8. Let v(x) = -i(x) + 4*m(x). Let j(a) = -9*v(a) + 4*z(a). Factor j(p).
-(p - 2)*(3*p - 2)
Let y(x) = 2*x + 50. Let r be y(-23). Let s(g) be the second derivative of r*g + 0 + 0*g**2 + 1/80*g**5 + 1/24*g**3 + 1/24*g**4. Factor s(q).
q*(q + 1)**2/4
Let u = -31 + 35. Let n(j) be the first derivative of 0*j + j**u + 0*j**3 + 3 - j**2 + 0*j**5 - 1/3*j**6. Factor n(k).
-2*k*(k - 1)**2*(k + 1)**2
Let a(d) = 3*d**2 + 5*d. Let s(u) = -16*u**2 - 26*u. Let n(h) = 11*a(h) + 2*s(h). Factor n(p).
p*(p + 3)
Let l be -3 + ((-784)/12)/4. Let c = l + 20. Factor 2/3*k + c*k**2 + 0.
2*k*(k + 1)/3
Let z(r) = -4*r**4 + 4*r**3 - r**2 + r - 1. Let n(y) = -y**4 + y**3 + y**2 - y + 1. Let s(i) = n(i) + z(i). Factor s(a).
-5*a**3*(a - 1)
Let y = -1/70 - -3/14. Let k(h) be the first derivative of 0*h + 1 + 2/15*h**3 - y*h**2. Factor k(t).
2*t*(t - 1)/5
Let s(f) be the first derivative of 15*f**5/4 - 15*f**4/16 - 4*f**3 - 3*f**2/2 - 15. Factor s(h).
3*h*(h - 1)*(5*h + 2)**2/4
Let f(b) be the second derivative of -b**7/840 - b**6/120 - b**4/6 + 4*b. Let p(q) be the third derivative of f(q). Factor p(j).
-3*j*(j + 2)
Let g(l) be the third derivative of 0*l - 1/48*l**5 + 0 - 1/24*l**3 - 4*l**2 + 1/16*l**4. What is u in g(u) = 0?
1/5, 1
Factor 1/9*d**3 + 1/9*d**2 + 1/3 - 5/9*d.
(d - 1)**2*(d + 3)/9
Let h(t) be the third derivative of -3*t**6/20 - 7*t**5/30 + t**4/6 + 7*t**2. Solve h(q) = 0.
-1, 0, 2/9
Let m(q) be the third derivative of -q**5/12 + 5*q**4/12 + 5*q**3/2 - 29*q**2. Factor m(v).
-5*(v - 3)*(v + 1)
Let z(i) be the second derivative of 9*i**8/560 - 3*i**7/280 - i**6/15 + i**5/10 + i**3/2 + 4*i. Let x(o) be the second derivative of z(o). Factor x(n).
3*n*(n + 1)*(3*n - 2)**2
Let k be (-12)/(-30) - (-2)/(-30). Let s(j) be the first derivative of 0*j**2 + k*j - 1/9*j**3 - 2. Suppose s(m) = 0. Calculate m.
-1, 1
Factor -3*k**4 + 4*k**4 - 2*k + 4 + 2*k**3 - 5.
(k - 1)*(k + 1)**3
Let p(t) be the third derivative of t**8/1512 - 2*t**7/945 - t**6/135 + 4*t**5/135 - 9*t**2. What is d in p(d) = 0?
-2, 0, 2
Let t(l) be the third derivative of 1/36*l**4 + 0 - 3*l**2 - 1/540*l**6 + 1/3*l**3 + 0*l**5 + 0*l. Let s(x) be the first derivative of t(x). Factor s(y).
-2*(y - 1)*(y + 1)/3
Let v = 21 - 19. Let h(u) be the first derivative of 3/2*u**5 + 7/2*u**3 + 0*u - 27/8*u**4 - 1/4*u**6 - 1 - 3/2*u**v. Factor h(q).
-3*q*(q - 2)*(q - 1)**3/2
Let z be -1*150/35 + 36/6. Factor -4/7 - 9/7*m**2 + 3/7*m**4 + 2/7*m**3 - z*m.
(m - 2)*(m + 1)**2*(3*m + 2)/7
Factor 0 + 1/5*t**2 + 0*t.
t**2/5
Let v(z) be the first derivative of -z**4/2 + 2*z**3 - 3*z**2 + 2*z - 2. Suppose v(d) = 0. Calculate d.
1
Suppose 12*n - 42 = -6. Let 0 + 1/2*l**2 - 7/2*l**5 + l + 19/2*l**4 - 15/2*l**n = 0. Calculate l.
-2/7, 0, 1
Let g(w) be the second derivative of -w**7/630 - w**6/1080 + w**5/90 + w**4/72 + w**3/3 - 2*w. Let p(j) be the second derivative of g(j). Factor p(s).
-(s - 1)*(s + 1)*(4*s + 1)/3
Let r = 2/9 - 1/45. Let v(b) be the first derivative of -r*b**2 + 0*b + 1/5*b**4 - 1/15*b**6 - 1 + 0*b**5 + 0*b**3. Determine d, given that v(d) = 0.
-1, 0, 1
Suppose 2 = -x + 1. Let t(s) = -2*s**3. Let b be t(x). Factor -n**3 - b*n - n**3 + 4*n.
-2*n*(n - 1)*(n + 1)
Let j = 32119 + -289906/9. Let d = j - -93. What is t in 0 + 0*t + 0*t**2 - 10/9*t**4 - 8/9*t**5 - d*t**3 = 0?
-1, -1/4, 0
Let n(b) be the first derivative of 0*b**4 + 1/780*b**5 + 0*b**2 + 1/2340*b**6 + 0*b - 1/3*b**3 - 3. Let p(d) be the third derivative of n(d). Factor p(k).
2*k*(k + 1)/13
Let a(n) be the second derivative of -n**6/120 + n**4/16 - n**3/12 + 31*n. Factor a(v).
-v*(v - 1)**2*(v + 2)/4
Let k = -9 - -8. Let j(i) = 5*i**4 + 5*i**3 - i**2 + 3*i. Let g(b) = -b**4 - b**3 - b. Let c(d) = k*j(d) - 4*g(d). Suppose c(r) = 0. What is r?
-1, 0, 1
Let r(x) be the first derivative of 2 + 1/120*x**5 + 0*x**3 + 0*x - 1/48*x**4 + 1/2*x**2. Let c(g) be the second derivative of r(g). Factor c(v).
v*(v - 1)/2
Let n(s) = -4 + 0*s - 2*s**3 + 2 + 2*s + 3*s**4. Let o(x) = -7*x**4 + 4*x**3 - 5*x + 5. Let a = -13 - -15. Let g(q) = a*o(q) + 5*n(q). Factor g(r).
r**3*(r - 2)
Let b(m) be the third derivative of 0 - 2/15*m**6 - 9*m**3 + 0*m + 3/5*m**5 + 0*m**4 + 2*m**2 + 1/105*m**7. Factor b(q).
2*(q - 3)**3*(q + 1)
Find i, given that 2*i**3 - 16 + 11*i**3 + 12*i**2 - 9*i**3 = 0.
-2, 1
Suppose -4*b + 2*p + 8 = 0, b - 2 = -0*p + 3*p. Solve 4 + 5*o + b*o**4 - 13*o - 2 - 8*o**3 + 12*o**2 = 0.
1
Solve -3/2 + 3/2*j**2 + 0*j = 0 for j.
-1, 1
Suppose 0 = -v - 73 + 225. Let o be v/95 - (1 - 1). Suppose -o + 14/5*b**3 - 16/5*b + 2*b**4 + 2/5*b**5 - 2/5*b**2 = 0. Calculate b.
-2, -1, 1
Let p(k) = 4*k**3 + 11*k**2 - 8*k + 7. Let l(v) = -2*v**3 - 5*v**2 + 4*v - 3. Let z(y) = 7*l(y) + 3*p(y). Factor z(s).
-2*s*(s - 1)*(s + 2)
Let j = 12 - 4. Let z be 3 + (-6)/j + -2. Determine x, given that 1/2*x**2 + 0*x**3 - 1/4*x**4 - z + 0*x = 0.
-1, 1
Let i(n) be the third derivative of 0 + 0*n**4 - n**2 - 1/150*n**5 + 1/300*n**6 + 0*n**3 + 0*n. Solve i(r) = 0 for r.
0, 1
Let x(n) be the third derivative of 1/240*n**6 - 3*n**2 + 5/48*n**4 + 0 + 1/6*n**3 + 0*n + 1/30*n**5. Factor x(q).
(q + 1)**2*(q + 2)/2
Let c(m) be the third derivative of 1/525*m**7 + 0 + 0*m**3 + 1/840*m**8 + 0*m + 0*m**6 + 3*m**2 + 0*m**4 + 0*m**5. Suppose c(x) = 0. Calculate x.
-1, 0
Let j be 4 + 66/(-3) + 1. Let p(k) = -k**2 - 16*k + 17. Let b be p(j). What is u in 0*u**3 - 2/5*u**5 + 4/5*u**2 + b + 2/5*u - 4/5*u**4 = 0?
-1, 0, 1
Let x(p) = 5*p**4 + p**3 - 12*p**2 - p + 7. Let f(m) = 3*m**4 + m**3 - 6*m**2 - m + 3. Let l(c) = -7*f(c) + 3*x(c). Factor l(u).
-2*u*(u - 1)*(u + 1)*(3*u + 2)
Let y = -44/13 + 184/39. Factor 2/3*g**2 - 2*g + y.
2*(g - 2)*(g - 1)/3
Find q, given that 0 + 3*q**3 - 7/3*q**2 - 5/3*q**4 + 1/3*q**5 + 2/3*q = 0.
0, 1, 2
Let y(d) be the second derivative of -2*d**6/105 + 2*d**4/21 - 2*d**2/7 + 4*d. Factor y(t).
-4*(t - 1)**2*(t + 1)**2/7
Let j(k) = -k**2 + 13*k - 20. Let h be j(8). Suppose -h*b**3 + 0 - 8 + 39*b**2 - 7*b**2 + 2*b - 6*b = 0. Calculate b.
-2/5, 1
Suppose -h - 1 = 7. Let x be -2 - (-4)/(h/(-5)). Factor d**3 - 3/2*d + 1/2*d**5 - 3/2*d**4 + x + d**2.
(d - 1)**4*(d + 1)/2
Let u(w) be the second derivative of w**5/110 + w**4/66 - w**3/33 - w**2/11 + 8*w. What is x in u(x) = 0?
-1, 1
Let n = -24 - -24. Determine t, given that 1/4*t**4 - 1/4*t**2 + n - 1/2*t**3 + 1/2*t = 0.
-1, 0, 1, 2
Let d(g) be the third derivative of g**5/420 - g**3/42 - 2*g**2. Factor d(t).
(t - 1)*(t + 1)/7
Let c be -1 + 0 + (-3)/(-1). Factor -2*y + y**2 - 2*y - c + 3*y.
(y - 2)*(y + 1)
Suppose -8*n + 20*n - 72 = 0. Factor 3/2*c**2 - n*c + 9/2.
3*(c - 3)*(c - 1)/2
Let g(s) be the first derivative of -2/3*s**3 - 4 + 2*s + 0*s**2. Suppose g(n) = 0. Calculate n.
-1, 1
Let x(y) = -15*y**3 + y**2 + 14*y + 8. Let a(d) = 0*d + 3 - d + 6*d - 5*d**3. Let l(p) = -8*a(p) + 3*x(p). Factor l(j).
-j*(j - 1)*(5*j + 2)
Suppose -4*s + s + 5 = 2*h, 2*s - 6 = -4*h. Let f be (h + -1)/(-6 - -4). Factor 0 + 0*b + 0*b**2 + f*b**3 + 2/3*b**4 + 2/3*b**5.
2*b**4*(b + 1)/3
Let t(o) be the second derivative of o**7/21 + 8*o**6/15 + 9*o**5/5 + 8*o**4/3 + 5*o**3/3 + 2*o - 10. Fac