1*o.
-(o - 3)**2/11
Let m be 180/54*(-19)/(-5). Determine o, given that 4/3 - 10/3*o - 2*o**2 - 38/3*o**4 + 4*o**5 + m*o**3 = 0.
-1/2, 2/3, 1
Let w(r) be the first derivative of 7*r**6/30 - 16*r**5/25 - 3*r**4/20 + 16*r**3/15 - 2*r**2/5 + 3. Find n, given that w(n) = 0.
-1, 0, 2/7, 1, 2
Let n(p) be the first derivative of -p**3/3 + p**2/2 + p - 8. Let x(t) = -t**3 + 6*t**2 - 5*t - 3. Let i(v) = -6*n(v) - 2*x(v). Factor i(b).
2*b*(b - 2)*(b - 1)
Factor -2*v + 0*v - v**2 + 6*v - 3*v**2.
-4*v*(v - 1)
Let t(j) be the third derivative of j**8/5040 - j**6/180 - j**5/30 + 2*j**2. Let g(k) be the third derivative of t(k). Factor g(s).
4*(s - 1)*(s + 1)
Solve -3/2*i + 3/4*i**4 - 3*i**3 + 0 + 15/4*i**2 = 0.
0, 1, 2
Let g(s) be the first derivative of s**6/39 - 6*s**5/65 + 3*s**4/26 - 2*s**3/39 - 28. Factor g(j).
2*j**2*(j - 1)**3/13
Suppose -3*s + 4*c = -53, -s - 4*c + 6 + 1 = 0. Determine o so that 12*o**5 - 11*o**4 - s*o**3 + 3*o**5 + 6*o**2 + 5*o**4 = 0.
-1, 0, 2/5, 1
Let g(o) be the third derivative of -o**8/6720 - o**7/2520 + o**6/360 - o**4/24 - o**2. Let r(y) be the second derivative of g(y). Solve r(f) = 0.
-2, 0, 1
Let m = 14 + -11. Let d(t) be the second derivative of 0 + 1/90*t**6 + t + 1/6*t**2 - 1/18*t**4 + 0*t**5 + 0*t**m. Factor d(p).
(p - 1)**2*(p + 1)**2/3
Let x(h) be the third derivative of -h**6/180 - 2*h**5/45 + h**4/36 + 4*h**3/9 + 7*h**2. Factor x(y).
-2*(y - 1)*(y + 1)*(y + 4)/3
Let f be 8/64*8 - -3. Factor -v**2 + 0 - 1/3*v**f - 1/3*v - v**3.
-v*(v + 1)**3/3
Let g be 8/20 + (-24)/75. Let c(v) be the first derivative of -g*v**5 - 2/3*v**3 + 0*v - 2 + 2/5*v**2 + 2/5*v**4. Suppose c(m) = 0. Calculate m.
0, 1, 2
Let k(b) be the third derivative of -b**9/1260 - b**8/560 - b**7/840 - 7*b**4/24 + 9*b**2. Let g(y) be the second derivative of k(y). Factor g(a).
-3*a**2*(2*a + 1)**2
Let j(f) = -3*f**3 - f**2 - f. Let y be j(-1). Suppose 2*s + 2 = 0, b = -b + y*s + 3. Factor 1/2*o**3 + b*o + 0*o**2 + 0 - 1/2*o**4.
-o**3*(o - 1)/2
Let b(z) = 32*z. Let g be b(1). Let i be 13/4 + (-8)/g. What is j in -1 - i*j + 2 - 4*j**3 + j**4 + 6*j**2 - j = 0?
1
Let x = 3 + 1. Let f be (-62)/(-15) + (-6)/45. Factor x*v**4 - v**5 - 4*v**f - 2*v**3 + v**4 - 4*v**4.
-v**3*(v + 1)*(v + 2)
Suppose -4*k = 3*p - 14, 5 = k + 3*p - 3. Let m(f) be the third derivative of 1/45*f**5 - 1/180*f**6 - 1/36*f**4 + f**k + 0*f**3 + 0*f + 0. Factor m(n).
-2*n*(n - 1)**2/3
Let l(a) be the first derivative of 2*a**5/25 - 2*a**4/5 + 2*a**3/5 + 13. Factor l(z).
2*z**2*(z - 3)*(z - 1)/5
Let b(f) be the second derivative of f**9/30240 - f**8/4480 + f**7/2520 - 5*f**4/12 + 5*f. Let x(u) be the third derivative of b(u). Factor x(c).
c**2*(c - 2)*(c - 1)/2
Let l = -347/198 + 17/9. Let p(k) be the first derivative of 2 - 2/55*k**5 + 0*k - 2/11*k**3 + 1/11*k**2 + l*k**4. Factor p(t).
-2*t*(t - 1)**3/11
Let j = 58512/5 - 11757. Let h = -54 - j. Factor -9/5*d**2 + 0 + 6/5*d + h*d**3.
3*d*(d - 2)*(d - 1)/5
Let a = 2/3 - 4/15. Let -8/5*w**2 + 2*w + a*w**3 - 4/5 = 0. What is w?
1, 2
Suppose 0 = 3*c + 2*v, 0*c = -2*c - 2*v. Let m(u) be the third derivative of 0*u + 1/48*u**4 + 0*u**3 + u**2 + c - 1/120*u**5. Determine l, given that m(l) = 0.
0, 1
Suppose 2*j + 1 = 7. Factor -2*s + 3*s - j*s**2 - s.
-3*s**2
Let h(n) be the first derivative of -n**3/3 - 3*n**2/2 - 2*n - 2. Solve h(a) = 0 for a.
-2, -1
Suppose -q = -0 - 2. Suppose o + q*o = 9. Solve 2*r**5 - 6*r**3 - r + 2*r**3 + o*r = 0.
-1, 0, 1
Let a(s) be the first derivative of 0*s + 5 - 1/7*s**2 + 0*s**3 + 1/14*s**4. Let a(x) = 0. Calculate x.
-1, 0, 1
Let b(l) be the first derivative of 0*l - 2*l**2 - 2/3*l**3 + 1. Solve b(k) = 0 for k.
-2, 0
Let z(c) be the second derivative of c**7/56 - c**6/20 - 9*c**5/80 + c**4/4 + c**3/2 - 18*c. Factor z(y).
3*y*(y - 2)**2*(y + 1)**2/4
Let k = 83/18 + -40/9. Suppose -1/6*o + k*o**3 + 0*o**2 + 0 = 0. Calculate o.
-1, 0, 1
Let s be (-7 - -1)*(-2)/4. Suppose 5*f = s*f + 8. Factor 4 - f - 3*k**2 + k**2 - 2*k.
-2*k*(k + 1)
Factor 12 + b**2 - 15*b - b**2 + 0*b**2 + 3*b**2.
3*(b - 4)*(b - 1)
Let h be -9 - (1 + -2 + 3). Let a be (-24)/h - (1 - -1). Factor 0 + 2/11*p - a*p**2.
-2*p*(p - 1)/11
Let o(g) = -g**3 + 15*g**2 + 3. Let w(x) = 4*x**3 - 76*x**2 - 16. Let z(r) = -16*o(r) - 3*w(r). Determine f so that z(f) = 0.
0, 3
Let w = 2 + 2. Suppose 5*n + 2*m - 13 = m, 2*m + 2 = w*n. Suppose c**4 + 8*c**5 - 3*c**4 + 0*c**4 + n*c**2 - 8*c**3 = 0. What is c?
-1, 0, 1/4, 1
Let b = 22 + -19. Factor -12*w**2 - 6*w**b - 6*w + 17 - 17 + 27*w**2.
-3*w*(w - 2)*(2*w - 1)
Let g(p) = 3*p + 10. Let t be g(-10). Let n be (-76)/t - 12/4. Let 0 - n*q + 2/5*q**3 - 2/5*q**2 = 0. What is q?
-1, 0, 2
Let o be ((-5)/(-1050) - 2) + 2. Let h(a) be the third derivative of -4*a**2 + 0 - 3/7*a**3 + 1/14*a**4 + 0*a - o*a**5. Factor h(n).
-2*(n - 3)**2/7
Suppose 0 = 2*x - 4 + 6. Let q = x - -3. Determine r, given that -1/5*r**q + 0 - 1/5*r = 0.
-1, 0
Let k = 2 - -1. Solve -2*x**4 + 7*x**4 + x**3 + 2*x**k - 2*x**2 + 0*x**3 = 0.
-1, 0, 2/5
Let m(j) be the first derivative of -j**5/60 + j**4/8 - j**3/3 - j**2 + 6. Let d(u) be the second derivative of m(u). Factor d(n).
-(n - 2)*(n - 1)
Let y(m) = -m + 3*m**2 + 8*m**3 - 11 + 6 - 4*m**3. Let b(q) = 6*q**3 + 4*q**2 - 2*q - 8. Let u(a) = 5*b(a) - 8*y(a). Let u(o) = 0. What is o?
-1, 0
Let m(o) = -9*o**4 + 16*o**3 - 13*o**2 - 21*o + 7. Let q(p) = -4*p**4 + 8*p**3 - 6*p**2 - 10*p + 4. Let r(y) = 2*m(y) - 5*q(y). Factor r(z).
2*(z - 3)*(z - 1)**2*(z + 1)
Let m(f) be the second derivative of f**6/40 + 3*f**5/80 - f**4/8 - 17*f. Determine r so that m(r) = 0.
-2, 0, 1
Let j(p) be the first derivative of -128*p**5/15 - 8*p**4/3 + 8*p**3/3 + 5*p**2/3 + p/3 + 6. Let j(v) = 0. What is v?
-1/4, 1/2
Let a(t) be the second derivative of -t**7/14 - t**6/5 + t**4/2 + t**3/2 + 28*t. Factor a(g).
-3*g*(g - 1)*(g + 1)**3
Let s(w) = -3*w**2 - 5*w - 4. Let z(t) = 6*t**2 + 9*t + 9. Let v(u) = 5*s(u) + 2*z(u). Factor v(g).
-(g + 2)*(3*g + 1)
Suppose -10*r - 6 = -13*r - a, a = 6*r - 12. Factor 8/3*t + 2 + 2/3*t**r.
2*(t + 1)*(t + 3)/3
Let v(c) be the first derivative of -c**6/180 - c**5/60 + 2*c**3/3 + 1. Let o(g) be the third derivative of v(g). Determine a so that o(a) = 0.
-1, 0
Factor -3*z**2 - 3*z**2 + 7*z**2 + z - 2.
(z - 1)*(z + 2)
Suppose 0 = -4*q + 7*q. Let z(w) be the second derivative of -2*w**2 + 2*w - 1/12*w**4 + q + 2/3*w**3. Find m, given that z(m) = 0.
2
Let k(p) be the third derivative of 0 + 1/120*p**5 - 2*p**2 - 1/48*p**4 + 0*p + 0*p**3. Determine f, given that k(f) = 0.
0, 1
Let m(d) = d**3 - 14*d**2 - 13*d - 30. Let j be m(15). Find r, given that 0*r**2 + 1/2*r - 1/2*r**3 + j = 0.
-1, 0, 1
Let t = 27 - 27. Let i(m) be the third derivative of -1/48*m**4 + t*m + 2*m**2 + 0*m**3 + 0 + 1/60*m**5 - 1/240*m**6. Find u such that i(u) = 0.
0, 1
Let c(p) be the third derivative of -1/105*p**7 + 4*p**2 + 0*p**4 + 0 - 1/30*p**5 + 0*p + 1/30*p**6 + 0*p**3. Factor c(t).
-2*t**2*(t - 1)**2
Let g = -7 + 14. Factor g*j**2 + 1 - 14*j - 18*j**3 + 1 + 23*j**2.
-2*(j - 1)*(3*j - 1)**2
Factor 0 - j**2 - 5/2*j**3 + 0*j - 2*j**4 - 1/2*j**5.
-j**2*(j + 1)**2*(j + 2)/2
Let d = -2/97 - -204/485. Factor -4/5*g - d*g**2 - 2/5.
-2*(g + 1)**2/5
Let q(n) = -n**3 - n**2 + 1. Let w(k) = -8*k**3 - 13*k**2 + 5*k + 7. Let a(g) = 18*q(g) - 2*w(g). Let a(i) = 0. What is i?
1, 2
Let y be 216/220 + (-4)/22. Factor -2/5*a - 2/5*a**2 + y.
-2*(a - 1)*(a + 2)/5
Let b(u) be the third derivative of -u**8/112 - 3*u**7/70 - u**6/20 + u**5/10 + 3*u**4/8 + u**3/2 - 4*u**2. Find z, given that b(z) = 0.
-1, 1
Suppose -2*v + 0*v - 2 = 0. Let f be -1 + 5 + v - -2. Find o, given that -2 - 5*o**4 - 10*o**2 - 5*o - o**f - 2 + 3 - 10*o**3 = 0.
-1
Let a(y) = 3*y**2 + 10*y - 9. Let s(n) = 7*n**2 + 21*n - 18. Let j(f) = 9*a(f) - 4*s(f). Solve j(h) = 0 for h.
3
Let u(c) be the first derivative of -3*c**4/8 + c**3/2 + 8. Factor u(q).
-3*q**2*(q - 1)/2
Let w(j) be the third derivative of 0 + 0*j**5 + 0*j + 1/360*j**6 + 3*j**2 + 0*j**4 + 0*j**3. What is b in w(b) = 0?
0
Let u(a) = 33*a**2 - 27*a - 6. Let z(m) = 66*m**2 - 54*m - 12. Let b(i) = -5*u(i) + 3*z(i). Factor b(y).
3*(y - 1)*(11*y + 2)
Suppose -1 = x - 2*x. Let w(n) be the first derivative of 1/3*n**2 + 0*n - 2/9*n**3 + x. Factor w(r).
-2*r*(r - 1)/3
Let i(h) = -12*h - 2. Let s be i(-1). Let t be 6/(-30