- 3*q**5 - 8*q - 3*q**2 + 11*q**k + 4 + 2 = 0. What is q?
-2, -1, 2/3, 1
Let u(z) be the first derivative of 0*z**4 + 0*z**3 + 0*z**2 - 1/2*z**6 + 0*z - 3 + 6/5*z**5. Suppose u(v) = 0. What is v?
0, 2
Let l(z) be the third derivative of 0*z + 0*z**3 - 1/180*z**6 - 1/36*z**4 - z**2 + 0 - 1/45*z**5. Factor l(r).
-2*r*(r + 1)**2/3
Let s(i) be the second derivative of -i**5/15 + i**4/9 - 3*i. Factor s(w).
-4*w**2*(w - 1)/3
Let x(h) = -5*h + 1. Let s be x(1). Let d = 0 - s. Factor 4*c**4 - 3*c**4 + 4*c**d - 6*c**4 + c**5.
c**4*(c - 1)
Let f(o) be the first derivative of 0*o - 3 + 1/3*o**3 - 1/2*o**2. Find w such that f(w) = 0.
0, 1
Let c = 1/18 + 5/18. Solve -2/3*o**2 + 1/3 - c*o = 0 for o.
-1, 1/2
Factor 1/3*z**3 - z**2 - 1/3 + z.
(z - 1)**3/3
Let s(g) = -g**2 - 32*g + 70. Let x be s(-34). Factor -1/2*z**x + 0 + 0*z - 1/2*z**3.
-z**2*(z + 1)/2
Let b(o) be the first derivative of o**4/4 + o**3/3 - o**2 + 2. Factor b(z).
z*(z - 1)*(z + 2)
Let k(a) be the third derivative of 1/14*a**4 + 0*a - 1/490*a**7 - 2*a**2 + 1/56*a**6 + 0*a**3 + 0 - 2/35*a**5. Factor k(v).
-3*v*(v - 2)**2*(v - 1)/7
Factor -1/5*r**2 + 4/5*r + 0.
-r*(r - 4)/5
Let d(b) be the second derivative of -b**9/45360 + b**8/10080 + b**4/12 - 2*b. Let i(z) be the third derivative of d(z). Factor i(o).
-o**3*(o - 2)/3
Let d(o) be the third derivative of 9*o**5/100 + 7*o**4/40 - o**3/5 + 36*o**2. Factor d(k).
3*(k + 1)*(9*k - 2)/5
Let o(p) be the second derivative of -p**4/12 + p**3/3 - 15*p. Factor o(m).
-m*(m - 2)
Let r(i) = i**3 + i**2 + 1. Let j(l) = -2*l**4 - 18*l**3 + 16*l**2 + 120*l - 206. Let u(d) = -j(d) - 6*r(d). Determine t, given that u(t) = 0.
-5, 2
Suppose -46 - 14 = -4*j. Let q be (j/8 - 2)*-2. Let 0 + 0*b**3 - 1/4*b**4 + 0*b + q*b**2 = 0. Calculate b.
-1, 0, 1
Suppose -23*d = 15*d - 76. What is l in 0 + 0*l**d - 3*l**3 + 0*l - 15/2*l**5 + 21/2*l**4 = 0?
0, 2/5, 1
Let a(k) be the third derivative of 1/5*k**3 + 1/40*k**4 + 0 + 0*k + 1/40*k**6 - 2/25*k**5 - 7*k**2. Factor a(l).
3*(l - 1)**2*(5*l + 2)/5
Suppose -2*g - g = 5*p - 4, 3*p = 4*g - 15. Let w(x) be the first derivative of -6*x**2 - 3/2*x**4 + 13/3*x**g + 1/5*x**5 + 4*x + 1. Solve w(r) = 0 for r.
1, 2
Let p(c) be the second derivative of -c**5 - 17*c**4/3 - 32*c**3/3 - 8*c**2 - 17*c. Factor p(j).
-4*(j + 1)*(j + 2)*(5*j + 2)
Factor 36*m + 10 + 26 + 72 + 3*m**2 + 0.
3*(m + 6)**2
Determine k, given that 4/5*k**3 + 12/5*k**2 + 8/5*k + 0 = 0.
-2, -1, 0
Let x(t) be the third derivative of t**7/70 - t**6/40 - t**5/10 + 19*t**2. Factor x(y).
3*y**2*(y - 2)*(y + 1)
Let d(r) be the second derivative of -r**5/40 - r**4/8 + r**2 - 9*r. Solve d(i) = 0 for i.
-2, 1
Suppose 0*l**2 + 0*l - 2*l**5 + 6*l**3 + 0*l - 4*l**2 = 0. What is l?
-2, 0, 1
Suppose 5*b - k - 14 = 0, 0 = 6*b - 2*b + k - 13. Suppose 0 = -4*h + 11 - b. Factor 1/3*c + 1/3 - 1/3*c**h - 1/3*c**3.
-(c - 1)*(c + 1)**2/3
Let h(g) = 2*g**3 - 8*g**2 + g - 5. Let t(n) = -n**3 + n**2 + n + 1. Let f(d) = -h(d) - 5*t(d). Factor f(l).
3*l*(l - 1)*(l + 2)
Suppose 5*m + b - 5 = 5, 3*b + 15 = 0. Factor m*w**2 + 4*w**3 + 3*w**2 + 0*w**2 - 2*w**2.
4*w**2*(w + 1)
Let v(o) be the first derivative of o**8/12600 - o**7/6300 - o**6/2700 + o**5/900 + o**3 + 1. Let m(i) be the third derivative of v(i). Factor m(l).
2*l*(l - 1)**2*(l + 1)/15
Let a(s) = 8*s**2 - 10*s + 4. Let l(c) = c**3 + c**2 + c - 1. Let o(t) = a(t) - l(t). Factor o(d).
-(d - 5)*(d - 1)**2
Let f(b) = -14*b**4 + 6*b**3 + 14*b**2 + 4*b. Let d(k) = -k**3. Let p(m) = -20*d(m) - 2*f(m). Let p(a) = 0. Calculate a.
-1, -2/7, 0, 1
Suppose -v - 4*v - 80 = 0. Let b be 2/(-8)*(v + 14). Suppose -1/4*d**2 + b*d - 1/4*d**3 + 0 = 0. What is d?
-2, 0, 1
Let b(s) be the second derivative of s**6/30 - 3*s**5/20 + s**4/4 - s**3/6 + 7*s. Determine i so that b(i) = 0.
0, 1
Let x be 0 - -5*(2 - 1). Let r be 1 - (1 + -2) - -2. What is t in -r*t - 5*t**2 + x*t**2 - 6*t**2 = 0?
-2/3, 0
Suppose -3*v = -12 - 0. Determine b so that 0 - 2*b + b**v + 0 + 85*b**2 - 88*b**2 = 0.
-1, 0, 2
Let x(a) be the third derivative of a**8/6720 + a**7/6720 - a**6/1440 - a**5/960 + a**3/2 + 2*a**2. Let y(c) be the first derivative of x(c). Factor y(t).
t*(t - 1)*(t + 1)*(2*t + 1)/8
Let d(n) = n**2 - 8*n + 9. Let h(z) = z. Let t(v) = -d(v) - 2*h(v). Factor t(p).
-(p - 3)**2
Factor 5*c - 3 - c + 27 + 4*c - 18*c**2 + 2*c**4.
2*(c - 2)**2*(c + 1)*(c + 3)
Let o(a) = -a. Let t be o(0). Suppose 0 = -3*q - 2 + 11. Suppose 1/2*s**2 - 1/2*s**4 + 0*s + t + 0*s**q = 0. What is s?
-1, 0, 1
Let t be (-6)/(-4) - 2/4. Let j(s) = s**2 - s + 1. Let w(l) = 6*l**2. Let a(o) = t*w(o) - j(o). Let i(g) = 6*g**2 - 2. Let c(z) = -4*a(z) + 3*i(z). Factor c(q).
-2*(q + 1)**2
Let j = -17 + 223/13. What is x in j*x**5 + 0*x**2 + 0 + 0*x**4 + 2/13*x - 4/13*x**3 = 0?
-1, 0, 1
Let f = -29 - -31. Find g such that 6/5*g**4 - 2/5 - 4/5*g**f + 6/5*g - 4/5*g**3 - 2/5*g**5 = 0.
-1, 1
Suppose 0 = -0*k + k - 3, 2*g + 5*k - 15 = 0. Let b(w) be the third derivative of -1/6*w**3 + 0*w + 1/8*w**4 + 2*w**2 + 7/240*w**5 + g. Factor b(h).
(h + 2)*(7*h - 2)/4
Let u(q) be the third derivative of -q**8/252 - q**7/63 - q**6/45 - q**5/90 - 36*q**2. What is b in u(b) = 0?
-1, -1/2, 0
Let u(m) be the second derivative of -3*m**5/140 + 9*m**4/28 - 12*m**3/7 + 24*m**2/7 + 21*m. Let u(t) = 0. Calculate t.
1, 4
Let o(m) be the third derivative of -m**8/42 - 3*m**7/35 - m**6/10 - m**5/30 - 3*m**2 - 7. Factor o(b).
-2*b**2*(b + 1)**2*(4*b + 1)
Let j(z) be the first derivative of -z**4/6 + 16*z**3/9 - 20*z**2/3 + 32*z/3 - 8. Suppose j(p) = 0. What is p?
2, 4
Let r(z) be the second derivative of 1/50*z**5 + 1/6*z**4 + 0 - 3*z - 1/5*z**2 - 8/75*z**6 + 4/105*z**7 - 1/15*z**3. What is y in r(y) = 0?
-1/2, 1
Let o(z) = 10*z**3 - z**2 + 3*z. Let b(h) = -7*h**3 + h**2 - 2*h. Suppose 23 = -4*u + 3. Let n(r) = u*o(r) - 7*b(r). Factor n(k).
-k*(k + 1)**2
Let f(g) be the first derivative of 3*g**2/2 - 4*g + 3. Let l be f(3). Let -4/3*x + l*x**3 + 0 + 4/3*x**2 = 0. Calculate x.
-2/3, 0, 2/5
Let j = -3 + -25. Let q be 4 + -2 + j/16. Factor q*z**2 + 0 + 0*z.
z**2/4
Let m(s) = 12*s**2 + 55*s + 50. Let w(t) = -t**2 + 1. Let i(h) = -m(h) - 5*w(h). Let x(g) = 2*g**2 + 14*g + 14. Let r(a) = -2*i(a) - 9*x(a). Factor r(u).
-4*(u + 2)**2
Factor -2*v**5 + 0*v**5 - 2*v**2 + 6*v**2 + 0*v - 4*v**4 + 2*v.
-2*v*(v - 1)*(v + 1)**3
Let c be (-15)/6*24/(-20). Let d = 6 - c. Factor 0*g**2 + 0*g**4 + 0 + 1/2*g**d - 1/4*g**5 - 1/4*g.
-g*(g - 1)**2*(g + 1)**2/4
Let t(b) = -b**3 - 7*b**2 - b - 5. Let x be t(-7). Solve -2 + x - 2*q**5 + 0*q**3 - 2*q**3 - 4*q**4 = 0 for q.
-1, 0
Factor -4*a**4 + 5*a**3 - 10 + 6*a**4 + 0*a**2 + 3*a**4 - 25*a - 15*a**2.
5*(a - 2)*(a + 1)**3
Let d(y) = -13*y**4 - 8*y**3 + 7*y**2 + 8*y - 12. Let k(x) = 3*x**4 + 2*x**3 - 2*x**2 - 2*x + 3. Let c(p) = 2*d(p) + 9*k(p). Factor c(r).
(r - 1)**2*(r + 1)*(r + 3)
Suppose 0*z = 2*z - 164. Let v = -161/2 + z. Factor -v*c**3 - 3/2*c**4 + 0 + 0*c - 1/2*c**2 - 1/2*c**5.
-c**2*(c + 1)**3/2
Let m(n) be the first derivative of -2*n**3/21 + 6*n**2/7 - 18*n/7 - 3. Let m(p) = 0. What is p?
3
Factor 5*x**2 - 105 + 46 + 40*x - 5*x**3 - 1.
-5*(x - 2)**2*(x + 3)
Find h such that 16*h**2 + 20*h**3 - 30*h**3 - 32 - h**5 - 7*h - 9*h + 18*h**3 - 2*h**4 = 0.
-2, 2
Let l(z) = -5*z**5 - 10*z**4 - 16*z**3 - 5*z**2 + 3*z + 3. Let k(s) = 6*s**5 + 10*s**4 + 16*s**3 + 4*s**2 - 4*s - 4. Let a(r) = -3*k(r) - 4*l(r). Factor a(j).
2*j**2*(j + 1)*(j + 2)**2
Let c(x) be the third derivative of x**10/201600 - x**8/26880 + 7*x**5/60 - 6*x**2. Let w(y) be the third derivative of c(y). Factor w(d).
3*d**2*(d - 1)*(d + 1)/4
Let u(p) be the first derivative of -p**6/4 + 9*p**5/5 - 9*p**4/2 + 4*p**3 + 7. Solve u(t) = 0.
0, 2
Let l = -19 + 10. Let d be (-3)/4 + l/(-12). Let -2*q + 1 + d*q**2 + 3*q - 2*q**2 + 0 = 0. Calculate q.
-1/2, 1
Let x(y) = -2*y**3 - y - 1. Suppose -3*k + 0*k = 3. Let l be x(k). Factor 1/4*j**l - 1/4*j + 0.
j*(j - 1)/4
Factor -8/3*n**4 - 8/3*n**2 + 2/3*n**5 + 0 + 4*n**3 + 2/3*n.
2*n*(n - 1)**4/3
Let x(b) be the second derivative of 7*b**6/18 + 5*b**5/12 - 5*b**4/4 - 25*b**3/18 + 5*b**2/3 + 8*b. Find o such that x(o) = 0.
-1, 2/7, 1
Let o(s) be the third derivative of s**9/9072 - s**8/2520 + s**7/2520 - s**3/2 - s**2. Let a(g) be the first derivative of o(g). Solve a(i) = 0 for i.
0, 1
Determine b, given that 