 3*i(x) - 5*u(x). Factor s(f).
3*(f - 3)*(f + 1)**2
Suppose 2*j = 2*w - 1 - 1, 5*j = -2*w + 2. Factor -13/3*z**2 + j + 64/3*z**5 + 20*z**3 + 1/3*z - 112/3*z**4.
z*(z - 1)*(4*z - 1)**3/3
Let b be (20/15)/((-4)/(-6)). Let s(i) be the second derivative of -b*i + 0 + 1/6*i**2 - 2/9*i**3 + 1/12*i**4. Determine z, given that s(z) = 0.
1/3, 1
Let 4/3*f**5 + 0*f + 0*f**2 - 8*f**4 + 0 + 12*f**3 = 0. Calculate f.
0, 3
Factor 0*h**2 - 7*h**4 - 2 - h**3 - 7*h**3 + 9*h - 9*h**2 + 19*h**4.
(h + 1)*(2*h - 1)**2*(3*h - 2)
Let m be (-6)/(-15) - (-16)/10. Let j(v) = 3*v - 3 + 2 - v**2 + 2*v**m. Let i(d) = -d**2 - 5*d + 1. Let a(g) = -3*i(g) - 5*j(g). Factor a(u).
-2*(u - 1)*(u + 1)
Suppose -2*x + 14 = 2*d, -23 = -d - 7*x + 2*x. Let s(p) be the first derivative of -1/2*p**4 + 0*p**d + 2/5*p**5 + 0*p**2 + 0*p - 1/12*p**6 + 2. Factor s(v).
-v**3*(v - 2)**2/2
Let o(q) be the first derivative of 25*q**4/42 + 20*q**3/21 + 4*q**2/7 - 2*q + 2. Let v(a) be the first derivative of o(a). Factor v(p).
2*(5*p + 2)**2/7
Let j be 3/270*(-92)/(-1). Let y = j + 7/9. Find l, given that -6/5 + 3/5*l**3 - y*l + 0*l**2 = 0.
-1, 2
Let i(h) be the third derivative of h**8/8400 + h**7/1050 + h**6/360 + h**5/300 - 2*h**3/3 + h**2. Let z(s) be the first derivative of i(s). Factor z(o).
o*(o + 1)**2*(o + 2)/5
Let y be (-3)/(-12) - 45/(-12). What is v in y*v + 3*v**2 - 2*v + 2*v - v = 0?
-1, 0
Let d(c) = 86*c. Let a be d(2). Let s be (-1)/(-3) - a/(-6). Suppose 4*j**4 + 25*j**3 + 4*j - 3*j**4 - s*j**3 - 3*j**4 + 2 = 0. What is j?
-1, 1
Let s = -197/3 - -66. Factor -s*l**4 - 2*l**2 - 1/3 + 4/3*l**3 + 4/3*l.
-(l - 1)**4/3
Let d = 12 - 10. Let b = 1/8 - -5/24. Let 0*l + 0 + 1/3*l**5 + b*l**d + l**4 + l**3 = 0. What is l?
-1, 0
Let s(q) be the second derivative of -1/24*q**4 - 1/6*q**3 + 0 - 1/2*q**2 - 1/240*q**5 - q. Let v(b) be the first derivative of s(b). Solve v(w) = 0.
-2
Suppose -4*z + 2*z = -3*b, 0 = -4*z + 2*b. Let s(d) = -d**2 - d + 5. Let n be s(z). Determine v so that -v**4 + 5*v - n*v + v**2 = 0.
-1, 0, 1
Let q be (10/(-6))/((-3)/9). Let v**4 - v**2 + 2*v**5 - v**3 + 0*v**5 + 4*v**5 - q*v**5 = 0. What is v?
-1, 0, 1
Let x(f) = -f**2 - 1. Let z(w) = -w**3 - 4*w**2 - 6. Let h(m) = 30*x(m) - 5*z(m). Suppose h(l) = 0. Calculate l.
0, 2
Let t(h) = h**2. Let l(s) = -152*s**2 + 48. Let d(b) = 16*b**2 - 5. Let m(z) = -48*d(z) - 5*l(z). Let r(i) = -3*m(i) - 21*t(i). Find y, given that r(y) = 0.
0
Suppose -2*i + 15 = 3*i. Suppose 2*x = -s + 1, i*s - 1 = -6*x + x. Factor 3/2 - 9/2*b - 3/2*b**3 + 9/2*b**x.
-3*(b - 1)**3/2
Let f(c) = -3*c + 8. Let p be f(4). Let b be 6/p*160/(-264). Let 4/11*n**3 - 4/11*n + 10/11*n**2 + 0 - b*n**4 = 0. Calculate n.
-1, 0, 2/5, 1
Let x(z) be the first derivative of -z**5/40 + z**4/12 - z**3/12 - 3*z + 2. Let k(b) be the first derivative of x(b). Solve k(y) = 0.
0, 1
Let j(k) be the first derivative of 4*k**5/25 - 2*k**4/5 - 16*k**3/15 + 16*k**2/5 - 11. Solve j(v) = 0.
-2, 0, 2
Let k(p) = 242*p**4 - 837*p**3 + 437*p**2 + 480*p + 83. Let s(h) = 727*h**4 - 2512*h**3 + 1312*h**2 + 1440*h + 248. Let u(o) = 8*k(o) - 3*s(o). Factor u(a).
-5*(a - 2)**2*(7*a + 2)**2
Let o be 66/9 - (-3)/(-9). Factor 14*l**2 - 5*l + 21*l - o*l + 23*l + 8.
2*(l + 2)*(7*l + 2)
Let j(h) be the first derivative of 4*h**5/25 - h**4/4 - h**3/5 + h**2/2 - h/5 + 3. Factor j(n).
(n - 1)**2*(n + 1)*(4*n - 1)/5
Suppose 2*r - 5*r = 0. Let t(z) = -z + 6. Let q be t(6). Suppose -3*f**4 + q*f + r + 3*f**2 - 9/2*f**3 + 9/2*f**5 = 0. Calculate f.
-1, 0, 2/3, 1
Let w = -4 - -3. Let n(p) = 3*p - 1. Let g(v) = v**2 + v - 1. Let o(s) = w*g(s) + n(s). What is j in o(j) = 0?
0, 2
Let h be -2*(-10)/(1210/11). Factor -4/11 - h*d + 2/11*d**2.
2*(d - 2)*(d + 1)/11
Let b be (-12)/(-24) - (-9)/6. Let h(p) be the second derivative of 0 + 1/60*p**4 + 1/30*p**3 - 2*p - 1/5*p**b. Factor h(w).
(w - 1)*(w + 2)/5
Let x be (-1 - 1)*2/(-2). Let d(l) be the second derivative of 0 - 1/50*l**5 + 1/15*l**3 + 0*l**4 + 0*l**x + 2*l. Find v, given that d(v) = 0.
-1, 0, 1
Let d = 612 - 20194/33. Let y = 122/165 + d. Factor -19/5*v**2 + y - 3*v**3 + 0*v.
-(v + 1)*(3*v + 2)*(5*v - 2)/5
Factor -2/9*k - 2/9*k**2 + 4/3.
-2*(k - 2)*(k + 3)/9
Factor 4 - 14*t**4 - 38*t**3 - 2*t**5 - 50*t**2 - 32*t + 3 - 19 + 4.
-2*(t + 1)**3*(t + 2)**2
Let l(c) be the third derivative of c**8/672 - 2*c**7/105 + 5*c**6/48 - 19*c**5/60 + 7*c**4/12 - 2*c**3/3 + 9*c**2. Factor l(a).
(a - 2)**3*(a - 1)**2/2
Let s(w) be the first derivative of 5*w**4/2 - 5*w**3 - 20*w**2 - 15*w + 33. Factor s(x).
5*(x - 3)*(x + 1)*(2*x + 1)
Let y(h) = -h**2 + 18*h - 30. Let v be y(16). Find m, given that -1/2*m**4 - m**v + 0 - 3/2*m**3 + 0*m = 0.
-2, -1, 0
Let z = 123 - 120. Let t(p) be the first derivative of -z*p**2 + 6*p - 1 + 1/2*p**3. Let t(h) = 0. What is h?
2
Let f(j) = 57*j**3 + 48*j**2 + 9*j - 15. Let u(k) = -7*k**3 - 6*k**2 - k + 2. Let p(z) = 4*f(z) + 33*u(z). Suppose p(m) = 0. What is m?
-2, -1, 1
Let s = -3/55 - -119/165. Let r(u) be the first derivative of 2/5*u**5 - 1 - u**4 + 0*u + 0*u**2 + s*u**3. Solve r(l) = 0.
0, 1
Solve -c**2 + 0 + 1/2*c**4 + 1/2*c**3 + 0*c = 0.
-2, 0, 1
Let c(r) be the third derivative of r**5/60 - r**4/6 + 2*r**3/3 + 13*r**2. Let c(n) = 0. Calculate n.
2
Let r(n) be the third derivative of 0*n**4 + 0*n**3 + 0*n + 1/240*n**5 + 0 + 1/160*n**6 - 3*n**2. Find f, given that r(f) = 0.
-1/3, 0
Let y(j) be the third derivative of j**5/20 - j**4/2 + 3*j**3/2 + 4*j**2. Suppose y(w) = 0. What is w?
1, 3
Let v(w) = 5*w**2 + 6*w + 1. Let t(r) = -6*r**2 - 7*r - 1. Let y be 32/18 - (-4)/18. Let d be y/3*1*6. Let n(p) = d*t(p) + 5*v(p). Factor n(f).
(f + 1)**2
Let v(o) be the second derivative of o**5/50 - 6*o. What is q in v(q) = 0?
0
Factor -3/2*m**2 + 3/4*m**4 + 3/4*m**5 + 3/4*m - 3/2*m**3 + 3/4.
3*(m - 1)**2*(m + 1)**3/4
Let v(o) = -17*o**5 + 32*o**4 - 5*o**3 - 28*o**2 + 25*o - 4. Let c(u) = -u**5 + u**3 + u. Let j(w) = 3*c(w) - v(w). Factor j(m).
2*(m - 1)**3*(m + 1)*(7*m - 2)
Let p(r) be the third derivative of -r**8/168 + r**6/30 - r**4/12 + 2*r**2. Factor p(i).
-2*i*(i - 1)**2*(i + 1)**2
Let z(n) = -n**2 + n - 1. Let h(q) = -q**2 - 14*q + 19. Let d(r) = h(r) + 4*z(r). Factor d(u).
-5*(u - 1)*(u + 3)
Solve -6*p**5 - 6*p**5 + 4*p**5 + 4*p**5 - 12*p**4 = 0.
-3, 0
Let v(s) be the third derivative of 2*s**7/105 + s**6/15 + s**5/15 + 8*s**2. Determine n so that v(n) = 0.
-1, 0
Let k(t) be the first derivative of t**4 - 8*t**3/3 + 22. Determine b, given that k(b) = 0.
0, 2
Let t be -1 - 1/(-3)*7. Factor -t*l**2 + 0 - 2/3*l - 2/3*l**3.
-2*l*(l + 1)**2/3
Let k(c) be the second derivative of -c**6/330 + c**5/110 + c**4/33 - 4*c**3/33 - 4*c. Let k(t) = 0. What is t?
-2, 0, 2
Let o(a) be the first derivative of -9/2*a**2 - 3/4*a**4 - 3*a**3 + 1 - 3*a. Suppose o(c) = 0. What is c?
-1
Let u(m) = -m**3 - 15*m**2 - m - 20. Let j be u(-15). Let d(i) = -2*i**2 - 11*i - 5. Let t be d(j). Factor 1/2*a**3 - 1/2*a + t*a**2 + 0.
a*(a - 1)*(a + 1)/2
Let n(c) = -3*c**3 + 19*c**2 - 22*c - 46. Let d(q) = -12*q**3 + 75*q**2 - 87*q - 183. Let s be 1/(-1) + 0 + -1. Let o(j) = s*d(j) + 9*n(j). Factor o(t).
-3*(t - 4)**2*(t + 1)
Let r = 611 + -7941/13. Factor -2/13*w + 0 + r*w**2.
2*w*(w - 1)/13
Suppose -1/8*f**3 + 17/8*f**2 - 81/8 - 63/8*f = 0. Calculate f.
-1, 9
Let r = 113 + -110. Factor 0*z + 0 + 0*z**2 + 2/7*z**5 + 0*z**4 - 2/7*z**r.
2*z**3*(z - 1)*(z + 1)/7
Let h(n) = n**2 + n + 1. Let w(r) = 4*r**2 + 3*r + 4. Let z = -29 + 44. Let m(d) = z*h(d) - 3*w(d). Let m(q) = 0. Calculate q.
-1
Let j(n) be the second derivative of n**4/15 - 16*n**3/15 + 32*n**2/5 + 3*n. Let j(f) = 0. What is f?
4
Let r(b) be the second derivative of 18*b**2 + 0 + 8*b**3 + 4/3*b**4 - 2*b. Factor r(s).
4*(2*s + 3)**2
Let q = 187/3 + -60. Let n = -2 + q. Factor -1/3*d**3 + 1/3*d - n + 1/3*d**2.
-(d - 1)**2*(d + 1)/3
Let d(p) be the second derivative of -p**5/90 + p**4/18 - p**3/9 + p**2 - 4*p. Let f(z) be the first derivative of d(z). Suppose f(v) = 0. What is v?
1
Let h(t) be the third derivative of 7*t**6/96 - t**5/4 - 5*t**4/24 - t**2 + 3. Determine i, given that h(i) = 0.
-2/7, 0, 2
Let j(c) be the first derivative of c**5/5 + c**4 + c**3 - 2*c**2 - 4*c - 4. Factor j(f).
(f - 1)*(f + 1)*(f + 2)**2
Let f be 12/8 - 2/(-8)*2. Let r be (-18)/(-4) + (-4)/8. Let 1/2*d**3 - 1/2*d - 1/4*d**r + 0*d**f 