 Let s(x) = 0. What is x?
-1, 1
Let w(a) be the first derivative of -a**6/9 + 4*a**5/15 - 4*a**3/9 + a**2/3 + 4. Suppose w(o) = 0. What is o?
-1, 0, 1
Let z(p) be the third derivative of 0 + 1/240*p**6 + 1/840*p**7 - 4*p**2 + 0*p - 1/96*p**4 - 1/120*p**5 + 1/24*p**3 - 1/1344*p**8. Factor z(g).
-(g - 1)**3*(g + 1)**2/4
Suppose 4*w**2 + 0*w**4 - 1/2*w**5 + 0 + 3/2*w + 3*w**3 = 0. Calculate w.
-1, 0, 3
Suppose 0 = -2*n - 2, -n = -3*m - 101. Let g be (-8)/2 - m/8. Suppose g*z**2 + 1/2 + 3/4*z = 0. Calculate z.
-2, -1
Let l(r) = 7*r**2 - 7*r. Let f(d) = -4*d**2 + 4*d. Let u(t) = -11*f(t) - 6*l(t). Let u(w) = 0. Calculate w.
0, 1
Let o(g) = -12*g**5 + 15*g**4 - 12*g**3 + 9*g**2. Let z(l) = 3*l**5 - 4*l**4 + 3*l**3 - 2*l**2. Let r(m) = 2*o(m) + 9*z(m). Solve r(h) = 0.
0, 1
Let u(y) be the second derivative of 1/20*y**5 - 2/45*y**6 + 1/9*y**4 + 1/126*y**7 + 0*y**2 - 2/9*y**3 + 0 - 5*y. Factor u(k).
k*(k - 2)**2*(k - 1)*(k + 1)/3
Suppose -2*z + 7 = 4*k - k, 4*z - 2*k - 6 = 0. Suppose -2*t - 2*x + 4 = -z, 3*t = 2*x + 4. Determine d, given that 0 + 1/2*d - 1/2*d**3 + 0*d**t = 0.
-1, 0, 1
Let c(u) be the second derivative of u**7/2520 - u**5/120 + u**4/4 + 2*u. Let h(n) be the third derivative of c(n). Factor h(a).
(a - 1)*(a + 1)
Suppose 0 = -4*h - 4*h + 40. Suppose -q - 4*i = h + 3, 10 = -5*i. Factor -1/4*v**2 + 1/2*v + q.
-v*(v - 2)/4
Let y = 95 - 473/5. Let s(h) be the first derivative of -y*h**2 + 3/5*h**4 - 2/15*h**3 + 0*h + 1. Solve s(w) = 0 for w.
-1/2, 0, 2/3
Let t(f) be the second derivative of -f**4/20 - 3*f**3/10 - 3*f**2/5 - 3*f. Factor t(d).
-3*(d + 1)*(d + 2)/5
Let v(g) be the first derivative of g**8/560 + g**7/280 - 8*g**3/3 + 8. Let o(h) be the third derivative of v(h). What is p in o(p) = 0?
-1, 0
Suppose 12 = 2*s - 4*o, 5*o + 15 = -7*s + 3*s. Determine h so that h**2 + s*h - 4/3 + 1/3*h**3 = 0.
-2, 1
Let m(x) be the second derivative of 5*x**9/1008 + 3*x**8/224 + 3*x**7/280 - x**4/2 + 7*x. Let h(j) be the third derivative of m(j). Solve h(i) = 0 for i.
-3/5, 0
Let k = -13 + 17. Let v(b) be the third derivative of 1/180*b**5 + 0*b + 0*b**3 - 1/360*b**6 + 1/72*b**4 - k*b**2 - 1/630*b**7 + 0. What is n in v(n) = 0?
-1, 0, 1
Let w(l) be the first derivative of -l**5/5 + 3*l**4 - 22*l**3/3 - 42*l**2 - 49*l - 44. Factor w(a).
-(a - 7)**2*(a + 1)**2
Let d(y) = 3*y**2 - 3. Let j(r) = -r**3 - 2*r**2 + r + 2. Let b(q) = -4*d(q) - 3*j(q). Solve b(h) = 0 for h.
-1, 1, 2
Let l(n) be the first derivative of -n**2 + n + 0*n**3 - 1/5*n**5 + 1 + 1/2*n**4. Factor l(a).
-(a - 1)**3*(a + 1)
Let l(b) be the first derivative of -b**4/8 + b**3/3 + 17. What is g in l(g) = 0?
0, 2
Let d be (46 - -3)*3/6. Factor 2 + 10*f + d*f**4 - 3/2*f**2 - 35*f**3.
(f - 1)**2*(7*f + 2)**2/2
Let q(t) be the first derivative of t**7/3360 - t**6/1440 - t**5/240 - t**3/3 - 2. Let s(o) be the third derivative of q(o). Factor s(k).
k*(k - 2)*(k + 1)/4
Let f(y) be the first derivative of 0*y + 5 + 0*y**2 + 1/9*y**3 + 1/5*y**5 - 1/4*y**4 - 1/18*y**6. Factor f(x).
-x**2*(x - 1)**3/3
Let 4 + 2 + 39*v + 22*v**3 + 11*v**3 + 10*v**5 + 69*v**2 - 22*v**5 - 15*v**4 = 0. What is v?
-1, -1/4, 2
Let g(n) = n**3 - 7*n**2 - 7*n - 6. Let i = 21 - 13. Let s be g(i). Factor 6/7*d**s - 2/7*d - 4/7*d**3 + 0.
-2*d*(d - 1)*(2*d - 1)/7
Let q(d) = 2*d**2 - 16 + 0*d**2 + 7*d**2 - 4*d**2. Let y(w) = -w**2 + 3. Let m(f) = -2*q(f) - 11*y(f). Suppose m(b) = 0. What is b?
-1, 1
Let q(g) = g - 1. Let z be q(1). Suppose z = 5*h + 4*k + k, -2*h + 2*k = 0. Find y, given that -4/3*y + 14/3*y**3 + 10/3*y**2 + h = 0.
-1, 0, 2/7
Let p(i) be the third derivative of -i**6/480 - i**5/240 + 2*i**2. Factor p(h).
-h**2*(h + 1)/4
Let l(h) = 4*h**2 + 18*h - 18. Let g(a) = 14 - 14 - a**2 - 2*a + a. Let b(k) = 6*g(k) + l(k). Determine m so that b(m) = 0.
3
Factor 0 - 12*v**3 + v - 2*v**2 + 11*v**3 + 2.
-(v - 1)*(v + 1)*(v + 2)
Suppose -5*k = -3*p + p, -4*p + 14 = -3*k. Let j = 53/84 - -1/28. Solve -2/3*h**4 - j*h**3 - 2/9*h**p + 0*h - 2/9*h**2 + 0 = 0.
-1, 0
Let x(c) = -c**3 + 3*c**2 - 2. Let h be x(2). Suppose -h*v = 4*r - 6 + 2, v = -4*r + 6. Factor -1/4*q**r - 1 + q.
-(q - 2)**2/4
Let p(l) be the third derivative of 1/30*l**4 - 1/30*l**3 - 1/150*l**6 + 1/300*l**5 + 0*l + 0 + 4*l**2. Suppose p(b) = 0. What is b?
-1, 1/4, 1
Let k(f) be the third derivative of 0 - 7/12*f**4 - 3*f**2 + 1/6*f**5 + 2/3*f**3 + 0*f. Factor k(a).
2*(a - 1)*(5*a - 2)
Suppose 4*k - 2*k = 14. Suppose i**3 - i**2 + 3*i + k*i**2 - 3*i**2 - i = 0. What is i?
-2, -1, 0
Let j(m) = 3*m**2 - 12 + m**2 + 2*m**2 - 12*m**3 + 4*m - 10*m**4. Let w(f) = -f**4 - f**3 + f**2 - 1. Let y(v) = j(v) - 12*w(v). Let y(u) = 0. Calculate u.
-2, 0, 1
Let s = 163 + -160. Solve 2/7 - 2/7*p**2 + 2/7*p - 2/7*p**s = 0 for p.
-1, 1
Let n(p) = -p. Let z(r) = r**2 - 8*r - 4. Let q(o) = 24*n(o) - 3*z(o). Factor q(d).
-3*(d - 2)*(d + 2)
Let 100*x**2 - 12722*x**4 + 12757*x**4 - 4 + 20*x + 115*x**3 + 4 = 0. Calculate x.
-2, -1, -2/7, 0
Let d(f) = -3*f**2 + 12*f - 9. Let q be d(3). Factor q*p**3 + 0 + 3*p**2 - 3/2*p - 3*p**4 + 3/2*p**5.
3*p*(p - 1)**3*(p + 1)/2
Factor 5*w**2 - 4416 + 15*w + 4416.
5*w*(w + 3)
Let r(c) be the first derivative of -13/10*c**4 - 7/5*c**2 - 2*c**3 - 2/5*c - 8/25*c**5 - 2. Factor r(f).
-2*(f + 1)**3*(4*f + 1)/5
Suppose -2 = 3*q - 3*g - 32, 4*q - 2*g = 36. Solve -1/2*n**2 - q + 4*n = 0.
4
Let s be 1 + 20 - (-4)/(-4). Factor s*k**3 - 26*k**3 - 2*k**2 + 5*k**5 - 12*k**4 + 15*k**3.
k**2*(k - 1)**2*(5*k - 2)
Let l(r) be the second derivative of 6*r**5/5 - 27*r**3/4 - 81*r**2/8 - 38*r. Find y, given that l(y) = 0.
-3/4, 3/2
Let s(l) be the first derivative of 3*l**4/4 + 3*l**3 + 9*l**2/2 + 3*l - 3. What is t in s(t) = 0?
-1
Factor 2*r + 2 - 12*r**3 - r + 17*r**3 - 8*r**2.
(r - 1)**2*(5*r + 2)
Determine m, given that 0*m - 1/3*m**2 + 4/3 = 0.
-2, 2
Let x(m) = m**2 - m. Let k(w) = -9*w**2 + 9*w. Let f = 10 - 9. Let b(z) = f*k(z) + 12*x(z). Factor b(u).
3*u*(u - 1)
Let a(b) = 9*b**2 + 54*b + 98. Let y(d) = 14*d + 33 + 5*d - 3*d + 3*d**2 + 2*d. Let o(q) = -6*a(q) + 17*y(q). Determine c, given that o(c) = 0.
-3
Let l(s) be the second derivative of s**5/50 + s**4/15 - 11*s. Find b, given that l(b) = 0.
-2, 0
Let a(t) be the second derivative of -1/90*t**5 - 5/27*t**4 + 4/135*t**6 + 4/27*t**3 + 0 - 1/189*t**7 + 8/9*t**2 + 4*t. Factor a(x).
-2*(x - 2)**3*(x + 1)**2/9
Suppose 11*u - 14*u = -6. Let i(t) be the third derivative of -1/150*t**5 + t**u - 2/15*t**3 + 0 + 0*t + 1/20*t**4. Let i(q) = 0. Calculate q.
1, 2
Let v(b) be the third derivative of 1/32*b**4 + 0*b + b**2 - 1/40*b**5 + 1/160*b**6 + 0 + 0*b**3. Find l, given that v(l) = 0.
0, 1
Let f(h) be the first derivative of -2*h**5 - 9*h**4 - 16*h**3 - 14*h**2 - 6*h - 7. Let f(p) = 0. Calculate p.
-1, -3/5
Let p(j) be the third derivative of -j**8/84 + 4*j**7/105 + j**6/15 - 4*j**5/15 - j**4/6 + 4*j**3/3 - 15*j**2. Find t such that p(t) = 0.
-1, 1, 2
Let m(x) be the first derivative of -x**4/78 - 4*x**3/39 - 4*x**2/13 + x + 1. Let l(k) be the first derivative of m(k). Let l(s) = 0. What is s?
-2
Let s(x) be the second derivative of x**8/2240 - x**6/240 - x**4/12 + x. Let b(p) be the third derivative of s(p). Factor b(k).
3*k*(k - 1)*(k + 1)
Suppose 4*u = -2*w + 16, 0 = -4*u - u + w + 20. Factor 1/3*r - 1/3*r**3 + 0 + 1/3*r**2 - 1/3*r**u.
-r*(r - 1)*(r + 1)**2/3
Let i be (-99)/(-70) - 225/(-750). Suppose -10/7*q**2 - 8/7 - 24/7*q + i*q**3 = 0. What is q?
-2/3, -1/2, 2
Let d(z) = z**2 + 8*z - 29. Let p be d(-11). Let h be ((-3)/3)/(1 - 4). Let -l**3 + l - 1/3 + 2/3*l**p - h*l**2 = 0. Calculate l.
-1, 1/2, 1
Find n such that -375/4*n**2 + 75/4*n**3 + 625/4*n - 5/4*n**4 + 0 = 0.
0, 5
Let n(s) be the second derivative of s**7/2520 - s**6/360 + s**4/3 + 2*s. Let z(c) be the third derivative of n(c). Factor z(m).
m*(m - 2)
Let l be (6/9*3)/(-1). Let b be l/9 + 30/54. Determine z, given that -1/3*z**3 + 0*z**2 + 0*z - b*z**4 + 0 = 0.
-1, 0
Suppose -2*b - 2*b = g + 12, 2*b = 4*g - 24. Suppose g*t + 0*t = 0. Factor 4/11*m**2 + 0 + 2/11*m**3 + t*m.
2*m**2*(m + 2)/11
Factor -5*v**2 - 748*v**3 + 5 + 747*v**3 + v + 0*v.
-(v - 1)*(v + 1)*(v + 5)
Let s be 2*(-2)/(-4 + -10). Let -2/7*q + 0 + 2/7*q**4 + 2/7*q**3 - s*q**2 = 0. What is q?
-1, 0, 1
Let t(k) be the third derivative of -k**2 - 1/6*k**3 - 1/240*k**5 + 0 + 1/24*k**4 + 0*k. Let