ve j(n) = 0 for n.
-1, 0, 2
Let h(g) = 2*g**4 + 3*g**3 - g - 1. Let o(p) = p**2. Let b(s) = s**5 + s**4 - s**2 + s - 1. Let t(f) = b(f) + 2*o(f). Let i(n) = h(n) - t(n). Solve i(x) = 0.
-1, 0, 1, 2
Let t(u) = u**2 + 12*u + 13. Let o be t(-11). Let h(l) be the first derivative of 9/2*l**o + 1 - 7/3*l**3 - 2*l. Let h(f) = 0. Calculate f.
2/7, 1
Let a(c) be the third derivative of -1/165*c**5 - 3*c**2 + 0*c + 1/132*c**4 + 0*c**3 + 0 + 1/660*c**6. Factor a(d).
2*d*(d - 1)**2/11
What is z in -4*z + 6 + 2/3*z**2 = 0?
3
Let s(a) be the first derivative of -4*a**3/3 - 10*a**2 + 24*a - 39. Suppose s(x) = 0. What is x?
-6, 1
Let p(j) be the third derivative of 1/60*j**5 - 1/160*j**6 + 0 - 1/96*j**4 + j**2 + 0*j**3 + 0*j. Factor p(y).
-y*(y - 1)*(3*y - 1)/4
Let d(o) = -o**2 - 3*o + 1. Let g be ((-1)/3)/(4/(-36)). Let a(x) = 2*x**2 + 4*x - 2. Let s(m) = g*a(m) + 4*d(m). Determine p so that s(p) = 0.
-1, 1
Let o be (16/25)/(4/20). Factor 2*v**2 - 2/5*v**3 - o*v + 8/5.
-2*(v - 2)**2*(v - 1)/5
Let f(i) be the second derivative of 1/6*i**4 - 2*i**2 + 0 - 2*i - 1/3*i**3. Factor f(d).
2*(d - 2)*(d + 1)
Let y be 5*(3 + 2*-1). Suppose 0 = v - y*v + 8. Factor -2 + 3*o**v + 2 - o**3 - 2*o.
-o*(o - 2)*(o - 1)
Let v be 85/102 - 2/4. Solve -z**3 + 0 - v*z - 1/3*z**4 - z**2 = 0.
-1, 0
Let y = 4 + -2. Let r(c) = -6 - 1 + y + 4. Let s(i) = 27*i**2 - 12*i - 7. Let f(j) = 6*r(j) - 2*s(j). Let f(q) = 0. Calculate q.
-2/9, 2/3
Let x = 8/13 + 12/65. Solve -x + 6/5*q - 2/5*q**2 = 0.
1, 2
Suppose 16/5 + 1/5*l**5 + 56/5*l + 11/5*l**4 + 73/5*l**2 + 43/5*l**3 = 0. Calculate l.
-4, -1
Let h = 167/6810 - -2/227. Let i(k) be the third derivative of -1/6*k**4 + 0*k + 0 + 0*k**3 - h*k**5 + 2*k**2. Factor i(b).
-2*b*(b + 2)
Suppose 2*t**3 + 2*t**2 - 2*t**2 - 6*t - 4*t**2 = 0. What is t?
-1, 0, 3
Let h(q) be the third derivative of -q**8/1848 + q**6/220 - q**5/165 + 11*q**2. Determine c so that h(c) = 0.
-2, 0, 1
Let v(b) = -2*b**2 + 21*b - 7. Let j be v(10). Let u(i) be the first derivative of 3 + 2/33*i**j + 2/11*i - 2/11*i**2. Factor u(p).
2*(p - 1)**2/11
Factor 2*k**2 + 7*k**4 + 6*k**2 - 2*k**2 - 3 - 10*k**4.
-3*(k - 1)**2*(k + 1)**2
Determine z so that 0*z + 0*z**3 - 2/5*z**2 + 0 + 2/5*z**4 = 0.
-1, 0, 1
Let b = 55/119 - 3/17. Suppose -b*o**4 + 0*o + 2/7*o**3 + 0 + 0*o**2 = 0. What is o?
0, 1
Let a**5 + 0*a**3 - 2 + 5*a - 2*a**5 + 4*a**4 - 4*a**3 - 2*a**2 = 0. What is a?
-1, 1, 2
Suppose 0*p + 96 = 4*p. Let a be (-2)/p*16/(-3). Let 16/9*n**2 + 14/9*n + a + 2/3*n**3 = 0. Calculate n.
-1, -2/3
Let o(q) be the second derivative of -q**8/30240 - q**7/5670 - q**6/3240 - q**4/12 - 5*q. Let t(n) be the third derivative of o(n). Factor t(h).
-2*h*(h + 1)**2/9
Let y = -69 + 485/7. Factor y + 2/7*o**2 - 4/7*o.
2*(o - 1)**2/7
Let h(m) be the second derivative of 3*m**8/8960 - 3*m**7/1120 + m**6/144 - m**5/120 - m**4/4 + 3*m. Let z(c) be the third derivative of h(c). Factor z(j).
(j - 2)*(3*j - 2)*(3*j - 1)/4
Let h(b) be the second derivative of -8*b**7/105 - 8*b**6/75 + b**5/100 + b**4/60 - 5*b. Suppose h(v) = 0. What is v?
-1, -1/4, 0, 1/4
Let z(d) be the first derivative of d**6/2 - 9*d**4/4 - 2*d**3 - 22. Find v, given that z(v) = 0.
-1, 0, 2
Let k(q) be the second derivative of -q**5/20 - 5*q**4/6 - 5*q**3/3 - 3*q**2 - 6*q. Let j be k(-9). Factor -1/6*o**2 + 0*o + 1/6*o**j + 0.
o**2*(o - 1)/6
Let j = 2/3071 + 3067/6142. Factor 3/4*v + j + 1/4*v**2.
(v + 1)*(v + 2)/4
Suppose r - 3 = 0, 4*x + r + 2*r = 25. Let d be (2 - 2)/(x + -3). Factor -t - 4*t - 2*t**2 + 3*t + d*t.
-2*t*(t + 1)
Let d(g) = g**2 + 1. Let n be d(3). Let w = 14 - n. Solve -w*l**3 - 3/2*l**2 + 7/2*l + 2*l**4 - 1 = 0 for l.
-1, 1/2, 2
What is z in -6*z**4 - 14*z**4 + 36*z**3 - 17*z**2 - 11*z**2 + 4*z**5 + 8*z = 0?
0, 1, 2
Factor -107*u + 118*u**2 + 324 - 114*u**2 + 35*u.
4*(u - 9)**2
Let m(k) be the first derivative of -k**5/15 - k**4/4 + 42. Solve m(r) = 0 for r.
-3, 0
Let g(u) be the first derivative of -u**6/120 + u**5/30 + u**4/24 - u**3/3 + u**2 - 3. Let y(x) be the second derivative of g(x). Factor y(d).
-(d - 2)*(d - 1)*(d + 1)
Let l(r) be the second derivative of -r**7/21 + 3*r**6/35 - r**5/35 - 7*r. Factor l(x).
-2*x**3*(x - 1)*(7*x - 2)/7
Let x(j) = j**3 - j**2 + j. Let o(h) = 8*h**2 - 14*h + 8. Suppose 0 = 3*w - 5 + 11. Let a(q) = w*x(q) + o(q). Factor a(t).
-2*(t - 2)**2*(t - 1)
Let c(o) = o**2 - 7*o. Let i be c(7). Suppose 0 = -z - i + 2. Suppose -2*a + 3*a**2 + 0*a**2 - 5*a**z = 0. What is a?
-1, 0
Let h(m) be the second derivative of m**5/5 - 5*m**4/3 + 8*m**3/3 + 27*m. Suppose h(r) = 0. Calculate r.
0, 1, 4
Determine z, given that 0*z + 3/4*z**4 + 0*z**3 - 3/2*z**2 + 3/4 = 0.
-1, 1
Let h = 12 - 6. Let c(s) = -6*s - 27 - 4*s**4 + 9*s**3 + 21 - 5*s**4. Let d(u) = -19*u**4 + 19*u**3 - 13*u - 13. Let o(n) = h*d(n) - 13*c(n). Factor o(w).
3*w**3*(w - 1)
Let r(x) be the first derivative of x**4 + 0*x + 0*x**5 - 1/3*x**6 - x**2 + 0*x**3 + 3. Suppose r(f) = 0. What is f?
-1, 0, 1
Let z(g) = g + 6. Let u be z(-4). Let r(n) be the first derivative of 2/39*n**3 + 6/65*n**5 + 0*n - u + 3/26*n**4 + 0*n**2 + 1/39*n**6. What is t in r(t) = 0?
-1, 0
Factor -3*r**4 + 172*r + r**2 + 2*r**2 + 0*r**2 - 187*r + 15*r**3.
-3*r*(r - 5)*(r - 1)*(r + 1)
Let k = 5/27 + 370/189. Factor k*l + 33/7*l**2 - 6/7 + 12/7*l**3.
3*(l + 1)*(l + 2)*(4*l - 1)/7
Let o(n) = n**3 + 4*n**2 + 7*n + 15. Let w be o(-3). Factor -3/4*h + 3/4*h**2 + 1/4 - 1/4*h**w.
-(h - 1)**3/4
Let d(l) be the second derivative of 0*l**4 + 0 + 3/4*l**2 - 3/80*l**5 + 4*l + 3/8*l**3. Find w, given that d(w) = 0.
-1, 2
Let c = 16 + -13. Suppose 87*m**c + 69*m - 8 + 18*m**4 - 21*m - 91*m**3 - 54*m**2 = 0. What is m?
-2, 2/9, 1
Find z, given that -z - 3*z**3 - 3*z + 6 - 3*z + 4*z**3 = 0.
-3, 1, 2
Let o(m) be the first derivative of m**6/42 - 2*m**5/35 - m**4/28 + 2*m**3/21 - 7. Let o(n) = 0. What is n?
-1, 0, 1, 2
Let f(q) = -8*q**3 + 39*q**2 - 42*q + 8. Let w(a) = 16*a**3 - 77*a**2 + 84*a - 16. Let g(k) = -7*f(k) - 3*w(k). Factor g(n).
2*(n - 4)*(n - 1)*(4*n - 1)
Suppose 5*m = 7*m - 12. Let i be m/4*(-14)/(-42). Factor 0 + 0*x - i*x**2 - 1/2*x**3.
-x**2*(x + 1)/2
Let i be (6/(-8))/((-3)/(-12)). Let f be 0*i/(-3)*1. Determine g so that f*g**2 + 0*g - 2/7*g**3 + 0 = 0.
0
Let z(v) be the second derivative of v**4/6 - v**2 + 6*v. Let z(k) = 0. Calculate k.
-1, 1
Let k(r) be the third derivative of 0*r**6 - 1/1008*r**8 + 0 + 1/315*r**7 - 3*r**2 + 1/72*r**4 + 0*r**3 - 1/90*r**5 + 0*r. Solve k(a) = 0 for a.
-1, 0, 1
Let m(x) be the second derivative of -x**5/90 + x**3/9 - 2*x**2/9 + x. Factor m(u).
-2*(u - 1)**2*(u + 2)/9
Let 1 + 9*h**3 + h**2 + 2*h**2 - 4*h + 2*h - 3*h = 0. What is h?
-1, 1/3
Let g = -5 + 10. Factor -2*i**2 + 2*i**3 - 9*i - g*i + 14*i.
2*i**2*(i - 1)
Suppose -5*s + 2 = 5*j - 8, -4*j - 5*s = -8. Let b = j + -7/4. Solve -b*y**3 + 0 + 0*y + 1/4*y**2 = 0 for y.
0, 1
Let i(c) = -29*c**3 - 29*c**2 + 47*c - 17. Let w(l) = 43*l**3 + 43*l**2 - 70*l + 25. Let d(o) = 7*i(o) + 5*w(o). Factor d(t).
3*(t + 2)*(2*t - 1)**2
Let p(r) = 12*r**4 + 13*r**3 + 25*r**2 + 4*r. Let w(z) = z**4 + z**2. Suppose -i + 27 + 9 = 0. Let j(f) = i*w(f) - 4*p(f). Determine h so that j(h) = 0.
-2, -1/3, 0
Let x = 24/13 - 238/143. Let p = 4 - 2. Factor x*j**p - 2/11 + 0*j.
2*(j - 1)*(j + 1)/11
Let j(a) be the first derivative of 0*a + 6 + 3/2*a**2 + 5*a**3 + 75/16*a**4. Find n, given that j(n) = 0.
-2/5, 0
Let y(n) be the third derivative of -n**7/1260 - n**6/360 - 21*n**2. Let y(s) = 0. Calculate s.
-2, 0
Suppose -5*x = 5*v - 40, 2*v = 2*x - 0*x + 4. Factor -2*c + c**2 - 5*c**2 - 9*c**v + c + 2*c**3 + 12*c**4.
-c*(c - 1)**2*(3*c + 1)**2
Let y = 1301/10 + -130. Let v(s) be the second derivative of s + 0 - 1/3*s**3 - 1/6*s**4 + s**2 + y*s**5. Factor v(f).
2*(f - 1)**2*(f + 1)
Let h(a) = 2*a - 6. Let u be h(4). Suppose -p - 2*p = -u*b - 1, b - 4*p = -8. Factor -2/7*c**b + 0 - 6/7*c**2 + 6/7*c**3 + 2/7*c.
-2*c*(c - 1)**3/7
Let z(r) = -r**2 - 2*r + 5. Let s be z(-5). Let o be ((-15)/s)/((-2)/(-4)). What is w in 0 - 3/4*w**2 + 9/4*w**4 - 3/2*w**o + 0*w = 0?
-1/3, 0, 1
Let i = 16 - 14. Factor 6*w + 3*w**i + 0*w**2 + 5*w**2 - 5*w**2.
3*w*(w + 2)
Let f(p) be the first derivative of -2*p**3/21 - 4*p**2/7 - 8*p/7 + 1. Factor f(a).
-2*(a + 2)**2/7
Let w(n) be the first derivative of -n**4/7 - 4*n**3/21 + 2*n**