se 65 = -2*v + 71. Determine x so that 1/2*x**4 + 0*x + 0*x**v + 0 - 1/2*x**2 = 0.
-1, 0, 1
Let h(c) be the first derivative of 1/7*c**2 - 4/7*c + 3 + 4/21*c**3 - 1/14*c**4. Solve h(l) = 0 for l.
-1, 1, 2
Factor -24*n**4 - 4*n**3 - 22*n**4 + 50*n**4.
4*n**3*(n - 1)
Let g(t) be the third derivative of -t**6/120 - t**5/60 - t**2. Solve g(l) = 0 for l.
-1, 0
Let b(o) be the second derivative of o**5/70 + o**4/42 - 5*o**3/21 + 3*o**2/7 - 7*o. Find m, given that b(m) = 0.
-3, 1
Let a = -178 - -183. Let o(k) be the second derivative of 1/6*k**3 + 0*k**2 - 1/6*k**4 + 0 + 1/20*k**a - 4*k. Factor o(f).
f*(f - 1)**2
Let x(i) be the third derivative of 0*i - 1/30*i**5 - 2*i**2 - 1/4*i**4 - 2/3*i**3 + 0. Solve x(g) = 0.
-2, -1
Let v(x) = -39*x**3 + x**2 - 1. Let g be v(1). Let q(f) = -13*f**2 - 4*f + 2. Let n(y) = -78*y**2 - 25*y + 13. Let o(w) = g*q(w) + 6*n(w). Factor o(l).
3*l*(13*l + 2)
Let n(g) = g**2 + g + 6. Let i be n(0). Suppose -3*a - 1 = -3*r + 11, a + i = 2*r. Determine t, given that t**r - 5*t**2 - t**2 + 4*t**2 = 0.
0
Let u(t) be the second derivative of -t**6/10 + 27*t**5/10 - 97*t**4/4 + 72*t**3 - 96*t**2 + 17*t. Factor u(x).
-3*(x - 8)**2*(x - 1)**2
Let q(u) = u**3 + 8*u**2 + 6*u - 8. Let m be q(-7). Let l be (-30)/(-9) - (1 - m). Factor l*h**4 - 1/3 - 5/3*h + 5/3*h**3 - h**2.
(h - 1)*(h + 1)**2*(4*h + 1)/3
Factor 2 + 5/7*n - 1/7*n**2.
-(n - 7)*(n + 2)/7
Let w be ((-6)/12 + 1)*(-2)/(-3). Factor 1/3 - w*q**3 + q**2 - q.
-(q - 1)**3/3
Find b such that -8/9*b + 0 + 40/9*b**2 - 4/9*b**4 + 14/9*b**5 - 14/3*b**3 = 0.
-2, 0, 2/7, 1
Suppose 0 = j + 3*z + 10, 2*j - 13 = z + 2. Suppose -p + 5*x + 17 = 0, -4*p = -0*p - 5*x - 23. Factor 4*a**2 - 6*a**3 + 3*a**5 - 6*a**p - 6*a**4 - 5*a**j.
-2*a**2*(a + 1)**3
Let z = -171 - -173. What is w in 1/5*w**z + 1/5*w + 0 = 0?
-1, 0
Let k(p) be the third derivative of -p**8/144 - p**7/70 + 13*p**6/180 + p**5/5 + p**4/9 + 23*p**2. Let k(v) = 0. What is v?
-2, -1, -2/7, 0, 2
Let g = -454 + 775. Let f = -953/3 + g. Factor 20/3*d**2 - 20/3*d**3 + f*d**4 - 2/3*d**5 + 2/3 - 10/3*d.
-2*(d - 1)**5/3
Let j(n) = n - 1. Let q(o) = o**2 - 4*o + 2. Let y(b) = 2*j(b) + q(b). Factor y(w).
w*(w - 2)
Let i be -11 + 13 - 4*6/20. Factor 0*y**2 + i*y**3 - 2/5 + 2/5*y**4 - 4/5*y.
2*(y - 1)*(y + 1)**3/5
Suppose -4*b + 16 = 4*l, -2*b + 4*l = 3*l - 2. Factor -3/5*p**4 - 6/5*p**b + 0 + 0*p + 9/5*p**3.
-3*p**2*(p - 2)*(p - 1)/5
Let c be -13 + 5 - (0 - 1). Let j be c + 3 + 1 + 3. What is r in -r + 1/2*r**2 + j = 0?
0, 2
Let k = 8 - 2. Factor i - 5 + 2*i**2 - 3*i + k - i**2.
(i - 1)**2
Let t = -1 - -9. Factor t*r - 8*r + 3*r**4.
3*r**4
Let k be 14/(-56) + (33/(-60) - -1). Determine g, given that 4/5*g - 4/5 - k*g**2 = 0.
2
Let d(v) be the third derivative of -5*v**6/24 + v**5 + 55*v**4/24 - 5*v**3 + 9*v**2. Solve d(r) = 0.
-1, 2/5, 3
Let g(h) be the second derivative of h**5/100 - 11*h**4/60 + 7*h**3/6 - 5*h**2/2 - 5*h. Let g(w) = 0. What is w?
1, 5
Let d be (-9)/(-15) - (-2)/5. Let w(r) = -r - 1. Let n(y) = 10*y**3 - 6*y**2 - 2*y + 2. Let c(k) = d*n(k) + 2*w(k). Determine u so that c(u) = 0.
-2/5, 0, 1
Let o(j) = 4*j**2 + 4*j. Let i(s) = -s**2. Let x(d) = 6*i(d) + o(d). What is v in x(v) = 0?
0, 2
Let h = 35 + -33. Suppose -4*q - 8 = 0, 2*p + 0*p + 4*q - 52 = 0. Factor 16/5*f - 4*f**3 + 0 + 56/5*f**h - p*f**4.
-2*f*(3*f - 2)*(5*f + 2)**2/5
Let j(v) be the third derivative of v**5/300 - v**4/30 + 2*v**3/15 - 3*v**2. Factor j(u).
(u - 2)**2/5
Let z(f) be the first derivative of -f**4/2 + f**2 - 1. Factor z(p).
-2*p*(p - 1)*(p + 1)
Let f(r) be the second derivative of -r**6/480 - r**5/240 - r**2 - 3*r. Let l(k) be the first derivative of f(k). Solve l(d) = 0 for d.
-1, 0
Let s = 37 - 34. Let f(l) be the first derivative of -3/10*l**4 - 1/5*l**2 + 3 + 2/5*l**s + 0*l + 2/25*l**5. Factor f(m).
2*m*(m - 1)**3/5
Let q = -351/8 - -44. Let o(s) be the first derivative of 2 + 1/12*s**3 + q*s**2 + 0*s. Determine z, given that o(z) = 0.
-1, 0
Let z = 13/28 - 5/28. Factor z*g + 4/7*g**2 + 2/7*g**5 - 4/7*g**3 - 2/7*g**4 - 2/7.
2*(g - 1)**3*(g + 1)**2/7
Let s(n) be the first derivative of -3*n**3/2 + 3*n**2/2 + 3*n/2 - 6. Suppose s(j) = 0. Calculate j.
-1/3, 1
Let a(r) be the second derivative of r**4/20 + r**3/2 + 27*r. Factor a(m).
3*m*(m + 5)/5
Factor 2 + 3*d - 3*d**2 + 6*d**2 + d**3 + 2 - 3.
(d + 1)**3
Let y(c) be the third derivative of -c**6/360 + c**5/120 - c**3/2 - 3*c**2. Let a(f) be the first derivative of y(f). Solve a(m) = 0 for m.
0, 1
Let w(j) be the first derivative of 3*j**5/40 - 3*j**3/8 + 3*j**2/8 + 24. Factor w(g).
3*g*(g - 1)**2*(g + 2)/8
Let w(s) be the second derivative of s**6/60 + s**5/10 + 5*s**4/24 + s**3/6 - 47*s. Factor w(t).
t*(t + 1)**2*(t + 2)/2
Let p(n) = -7. Let r(o) = -3. Let w(i) = -4*p(i) + 9*r(i). Let u(j) = 2*j**2 - 2*j + 4. Let k(x) = u(x) - 4*w(x). Factor k(q).
2*q*(q - 1)
Factor 3/4*i**2 - 9/4*i - 3/2 + 9/4*i**3 + 3/4*i**4.
3*(i - 1)*(i + 1)**2*(i + 2)/4
Let x(s) be the third derivative of -7/15*s**5 + 3*s**2 + 0*s + 49/180*s**6 + 1/6*s**3 + 1/3*s**4 + 0. Let m(i) be the first derivative of x(i). Factor m(c).
2*(7*c - 2)**2
Let j(k) be the first derivative of k**4/4 - 5*k**3/3 + 4*k**2 - 4*k - 8. Suppose j(c) = 0. What is c?
1, 2
Let n(q) = 7*q**2 + 15*q. Let s(k) = 22*k**2 + 45*k. Let y(r) = -7*n(r) + 2*s(r). Factor y(p).
-5*p*(p + 3)
Suppose -3*d + 11 - 2 = 0. Suppose 2*i + 1 + 1 = 5*c, 16 = 2*c + d*i. Suppose 7*u**2 + 13*u + 9*u**3 + 11*u**c + 2*u**2 + 2 = 0. Calculate u.
-1, -2/9
Let h(g) be the first derivative of -2*g**3/33 + 8*g/11 - 5. Let h(i) = 0. What is i?
-2, 2
Suppose 0 = -3*z + 5 + 7. Let w be z/10 - 8/120. What is q in 0 - 1/3*q**3 + 0*q**2 + 0*q + w*q**4 = 0?
0, 1
Suppose 20/11 - 2/11*b**2 - 18/11*b = 0. Calculate b.
-10, 1
Suppose -c + 3*c = 10. Let d = 16 + -14. Factor r**2 + c - 3 - 3*r**d.
-2*(r - 1)*(r + 1)
Suppose 2*g - f = -3*f - 4, -f = 4*g - 7. Suppose -2 - 3 = 5*q, -g = -2*w - 5*q. Factor -8*l + 2*l**3 + 5*l**2 - 7*l**3 + 4*l**3 + w + 0*l**3.
-(l - 2)**2*(l - 1)
Let j = 1673 + -11709/7. Factor j*o - 4/7 + 2/7*o**2.
2*(o - 1)*(o + 2)/7
Let t(b) = b + 4 - 4*b**2 - 1 + 3*b**2 - 2. Let l(a) = 4*a**2 - 4*a - 5. Let f(n) = -2*l(n) - 10*t(n). Let f(v) = 0. What is v?
0, 1
Let j(r) be the second derivative of -6*r + 0*r**6 - 1/21*r**7 + 0 + 0*r**4 + 0*r**2 + 1/10*r**5 + 0*r**3. Solve j(s) = 0 for s.
-1, 0, 1
Let c(x) be the first derivative of 2*x**3 - 3*x**2 - 1/2*x**4 + 4 + 2*x. Factor c(m).
-2*(m - 1)**3
Factor 2/5 + 2/5*o**2 - 4/5*o.
2*(o - 1)**2/5
Let z(i) be the third derivative of i**7/2520 + i**6/1080 + 7*i**3/6 + 3*i**2. Let q(m) be the first derivative of z(m). Let q(d) = 0. What is d?
-1, 0
Let p(a) be the second derivative of -a**6/60 - 7*a**5/40 + a**4/8 + 55*a**3/12 - 25*a**2/2 - 53*a. Factor p(d).
-(d - 2)*(d - 1)*(d + 5)**2/2
Let x(m) be the third derivative of -5*m**8/336 - m**7/21 + m**5/6 + 5*m**4/24 - 8*m**2. Factor x(t).
-5*t*(t - 1)*(t + 1)**3
Suppose 4*q = 2*q. Suppose q = -2*k + 7 - 1. Factor 2/9 - 2/9*i**4 + 0*i**2 + 4/9*i**k - 4/9*i.
-2*(i - 1)**3*(i + 1)/9
Suppose -5*b - 21 = -12*b. Factor -12 - b*z**2 - 18*z - 14 - 1.
-3*(z + 3)**2
Suppose -5*s = -10*s. Let l be 5/(-3) - (1 - -1 - 4). Suppose -l*f**3 - 1/3*f + 2/3*f**2 + s = 0. What is f?
0, 1
Factor 5*k**4 - 8*k**4 - 3*k**5 - 3*k**4 - 3*k**3.
-3*k**3*(k + 1)**2
Let x(p) be the first derivative of 1/9*p**6 - 2/9*p**3 + 0*p - 2/5*p**5 + 1/2*p**4 + 0*p**2 + 4. Solve x(c) = 0.
0, 1
Let i(s) be the third derivative of -s**8/3360 + s**7/630 - s**6/360 - s**4/8 - 2*s**2. Let c(z) be the second derivative of i(z). Let c(j) = 0. What is j?
0, 1
Let y(t) = 2*t**3 + 6*t**2. Let j(h) be the first derivative of h**4/2 + 5*h**3/3 + 1. Let s(r) = 4*j(r) - 3*y(r). Find u such that s(u) = 0.
-1, 0
Let o(u) be the third derivative of 7*u**2 - 1/60*u**6 + 0 - 1/6*u**3 - 1/70*u**7 + 1/12*u**4 + 0*u + 1/15*u**5. Factor o(p).
-(p - 1)*(p + 1)**2*(3*p - 1)
Suppose -4*a = -a - 2*k - 5, -4*a + 22 = 5*k. Solve 0 + 3/4*h + 3/4*h**4 - 3/4*h**2 - 3/4*h**a = 0.
-1, 0, 1
Determine a so that -1/3*a**3 + 0*a**2 + a + 2/3 = 0.
-1, 2
Let p(h) = h**2 - 5*h. Let x be (5/(-15))/((-2)/24). Let n = 10 - x. Let z(r) = -2*r**2 + 11*r. Let b(w) = n*z(w) + 13*p(w). Factor b(f).
f*(f + 1)
Suppose 6 = 4*c - 6. Factor c*p**3 - 2*p + 0*p**3 - 2*p**2 - p**3 +