2*u**4 - 1/9*u**3 - 1/3*u**2 + 7*u + 0. Factor t(y).
-(y + 2)**2/6
Let l = 473/705 + -1/235. Let k(x) be the first derivative of 0*x**4 + 6 + 2/5*x**5 + 0*x + 0*x**2 - l*x**3. Factor k(j).
2*j**2*(j - 1)*(j + 1)
Determine b so that -55*b**3 - 3 + 25*b**3 - 85*b**2 + 4 + 20*b + 14 = 0.
-3, -1/3, 1/2
Let y be 2*((-1)/(-4) - 3890/40). Let q = y - -194. Determine v, given that 6/7*v + q + 2/7*v**2 = 0.
-3, 0
Let q(c) = 10*c**2 + 24*c + 10. Let b be q(-2). Solve 1/3*s + 0 + 1/6*s**4 + 2/3*s**3 + 5/6*s**b = 0.
-2, -1, 0
Factor 0*o**2 - 2*o - 8*o + 4 + 13*o - o**2.
-(o - 4)*(o + 1)
Suppose 309*i = 239 + 379. Factor -2/5*l**i + 6/5 + 4/5*l.
-2*(l - 3)*(l + 1)/5
Let r(z) be the third derivative of -15*z**5/4 - 85*z**4/6 - 50*z**3/3 + 474*z**2. Factor r(h).
-5*(5*h + 2)*(9*h + 10)
Let i(j) be the third derivative of -1/12*j**5 + 7*j**2 + 0*j**3 + 0 + 0*j - 1/42*j**7 + 0*j**4 + 1/12*j**6. Let i(a) = 0. Calculate a.
0, 1
Let b(s) = s**2 + 4*s + 5. Let y be b(0). Factor 4 - 14 + 5*t**3 + 0*t - y*t - 5*t**4 + 13*t**2 + 2*t**2.
-5*(t - 2)*(t - 1)*(t + 1)**2
Let j(i) be the second derivative of -17*i**5/10 - 49*i**4/6 + 2*i**3 - 53*i. Suppose j(t) = 0. What is t?
-3, 0, 2/17
Let f be ((-42)/3)/(-2) + 0. Suppose -5*r = -5*v - 2*r + 21, 2*r + f = v. Solve 34*y**4 - 30*y**4 - 12*y**2 + 4*y**2 + 4*y**v = 0 for y.
-2, 0, 1
Let w = -44 - -66. Factor w*u + 5*u**2 - 42*u + 26*u - 4*u**2.
u*(u + 6)
Factor 1650/7*p + 36/7 - 1112/7*p**2 + 186/7*p**3.
2*(p - 3)**2*(93*p + 2)/7
Let f(a) be the third derivative of -a**6/120 - 17*a**5/60 - 10*a**4/3 - 32*a**3/3 + 3*a**2 + 50. Factor f(w).
-(w + 1)*(w + 8)**2
Let g(o) be the second derivative of 16*o**6/75 - 36*o**5/25 + 97*o**4/30 - 12*o**3/5 + 4*o**2/5 - 135*o. Solve g(w) = 0.
1/4, 2
Let j(h) be the second derivative of -h**4/4 + 4*h**3/3 + 5*h**2/2 - 9*h. Let s(l) = -3*l**2 + 9*l + 6. Let d(x) = 6*j(x) - 5*s(x). Factor d(f).
-3*f*(f - 1)
Let s(i) be the first derivative of i**6/160 - 3*i**5/80 + 15*i**2/2 + 11. Let g(q) be the second derivative of s(q). Factor g(f).
3*f**2*(f - 3)/4
Let j(t) = -5*t**2 - 34*t - 161. Let o(g) = g**2 + 2*g - 2. Let i(u) = -3*j(u) - 12*o(u). Let i(x) = 0. What is x?
-13
Let t(f) be the third derivative of -f**6/480 + 193*f**5/240 + 389*f**4/96 + 65*f**3/8 - 82*f**2 - 6*f. Factor t(j).
-(j - 195)*(j + 1)**2/4
Let z(n) = 5*n**2 - 5*n - 5. Let u be (-20)/(-8) - 3/2. Let l(k) = -1. Let h(x) = u*z(x) + 5*l(x). Factor h(d).
5*(d - 2)*(d + 1)
Suppose u - 5*h = 2 + 60, 5*h + 136 = 3*u. Find q such that -34*q**2 - 5*q + 3 - q + u*q**2 = 0.
1
Suppose 3*y - 7*y = -t - 2, 2*t - 3*y = 1. Let o(f) = -4*f. Let p be o(-3). Find x such that p*x**2 + 12*x**2 - 26*x**t - 2*x = 0.
-1, 0
Let k = -12/55 + 146/165. Let 0*c + k*c**3 + 0 + 0*c**2 = 0. Calculate c.
0
Let w(c) = -22*c**2 - 133*c - 2. Let j be w(-6). Let i(a) be the second derivative of 2/7*a**2 + 8*a - 1/70*a**5 + 1/21*a**3 + 0 - 1/21*a**j. Factor i(m).
-2*(m - 1)*(m + 1)*(m + 2)/7
Let r(k) be the third derivative of -k**4/12 + 25*k**3/6 - 7*k**2. Let x be r(11). Suppose -5*t + 4*t**x - 7*t**2 + 17*t + 27*t**2 - 36 = 0. What is t?
-3, 1
Let q be 8 + 1 - (-7 - -12). Let f(g) be the third derivative of 1/240*g**5 + 0*g - 6*g**2 + 0*g**q + 0*g**3 + 0 - 1/480*g**6. Solve f(s) = 0.
0, 1
Let n = -6/193 + -7479/1544. Let g = 321/56 + n. Determine u so that -2*u + 10/7*u**2 + g - 2/7*u**3 = 0.
1, 3
Let k(y) be the first derivative of y**5/5 - 49*y**4/12 + 61*y**3/9 - 5*y**2/2 - 253. Suppose k(s) = 0. What is s?
0, 1/3, 1, 15
Let f be (-6)/(4 - (23 + -12)). Determine u so that f*u - 6/7*u**3 + 0 + 16/7*u**2 = 0.
-1/3, 0, 3
Let w(o) be the third derivative of -5 - 1/3*o**3 + 0*o - 1/240*o**5 - 3*o**2 - 3/32*o**4. Factor w(m).
-(m + 1)*(m + 8)/4
Let y = -3329/15 - -222. Let z(q) be the first derivative of -y*q**3 + 2/5*q + 6 + 1/10*q**2. Let z(a) = 0. Calculate a.
-1, 2
Let x(c) be the first derivative of 0*c**2 + 2/3*c**3 - 27 - 1/10*c**4 + 0*c. Solve x(i) = 0 for i.
0, 5
Factor -48050/11*b - 182/11*b**3 + 5394/11*b**2 - 119164/11 + 2/11*b**4.
2*(b - 31)**3*(b + 2)/11
Let b(h) = -1. Let u(p) = -2*p**3 + 14*p**2 - 28*p + 5. Let z(r) = 22*b(r) - 2*u(r). Suppose z(n) = 0. What is n?
1, 2, 4
Let k(l) be the second derivative of -l**4/54 - 4*l**3/27 - l**2/3 + 3*l + 18. Suppose k(p) = 0. Calculate p.
-3, -1
Let r(g) be the second derivative of 54*g**7/7 + 138*g**6/5 + 58*g**5/5 - 20*g**4 + 16*g**3/3 + 13*g. Determine z so that r(z) = 0.
-2, -1, 0, 2/9
Let g = -225/322 + -2/23. Let d = 12/7 - g. Factor 3/2*h**2 - d*h + 1.
(h - 1)*(3*h - 2)/2
Suppose 2*r - 48 = -4*r. Suppose -3*j + r = j. Factor -13*c**j - 23*c**2 + 24*c + 40*c**3 - 22*c**3 - 3*c**4.
-3*c*(c - 2)**3
Factor 19*o**2 - 403 + 185 - 16*o - 3*o**3 + 198.
-(o - 5)*(o - 2)*(3*o + 2)
Suppose -2*h = 3*m + 4, -44*h + 41*h - 5*m = 8. Let d(l) be the first derivative of 0*l + 0*l**2 + 8/3*l**3 - 3 + l**h. Factor d(j).
4*j**2*(j + 2)
Determine w so that -4/3*w**3 - 3 + 4*w + 2/3*w**2 - 1/3*w**4 = 0.
-3, 1
Let x be ((-10)/(-8))/(2/(-8)). Let m = -4 - -1. Let o(s) = -3*s**2 + 13*s + 13. Let f(p) = 2*p**2 - 7*p - 7. Let j(g) = m*o(g) + x*f(g). Factor j(w).
-(w + 2)**2
Let q(x) be the second derivative of x**5/200 - 3*x**4/40 + 2*x**3/5 - x**2 - 2*x - 27. Solve q(j) = 0.
2, 5
Let h(u) = -u**3 + u**2 + 2. Let n be h(0). Let d be 33/(-77)*(8 - 13). Factor 0 - 3*w**n - d*w**3 - 6/7*w.
-3*w*(w + 1)*(5*w + 2)/7
Let h be (-5)/(-6) + (217/(-21) - -10). Factor h*p + 0 - 2/3*p**2 + 1/6*p**3.
p*(p - 3)*(p - 1)/6
Let c be -18*(-3)/15*13/78. Solve c*f + 3/5*f**5 - 6/5*f**3 - 3/5 + 6/5*f**2 - 3/5*f**4 = 0 for f.
-1, 1
Let f(r) = -r**3 + 4*r**2 + 4*r + 7. Let y be f(5). Let n be (-2 + -1)*4/(-6). Factor -2 + 4*a**2 + 33*a + 0*a**3 - 35*a - n*a**y + 2*a**3.
2*(a - 1)*(a + 1)**2
Let l(w) = -w**3 + 17*w**2 + 19*w - 32. Let c(j) = 12*j**3 - 188*j**2 - 210*j + 352. Let p be -1 - (-5)/((-5)/(-7)). Let v(m) = p*c(m) + 68*l(m). Factor v(i).
4*(i - 1)*(i + 4)**2
Factor 8*i - 36 - 1/3*i**2.
-(i - 18)*(i - 6)/3
Suppose -2*b + 2*a - 2 = 0, 3*a - 22 = -5*b + 5. Let m(q) be the first derivative of q**b - 3 - 6*q - 3/2*q**2. Factor m(l).
3*(l - 2)*(l + 1)
Suppose 3*t + 12 = -i + 8*t, 0 = -4*i + 5*t - 3. Factor -17*k + 11*k + k**3 - 3*k**4 + i + 5*k**3.
-3*(k - 1)**3*(k + 1)
Let c(j) be the first derivative of 4/3*j**3 + 0*j + 0*j**2 + 1/720*j**6 + 9 - 1/160*j**5 + 1/96*j**4. Let r(v) be the third derivative of c(v). Solve r(d) = 0.
1/2, 1
Let t(f) be the first derivative of 2*f**3 + 15 - 6*f + 21/2*f**2 - 21/4*f**4. Factor t(m).
-3*(m - 1)*(m + 1)*(7*m - 2)
Let a = -162/7 + 4381/189. Let z(x) be the second derivative of 2/9*x**2 + 0 - a*x**3 + 4*x - 1/54*x**4. Factor z(o).
-2*(o - 1)*(o + 2)/9
Let t be (13/26 + 1594/60)*6. Let a = -162 + t. Factor -4/5*i + 2/5 + a*i**2.
2*(i - 1)**2/5
Let b(w) be the third derivative of 0*w**4 - 3/40*w**6 + 0*w**7 + 0 + 1/112*w**8 - 1/10*w**5 - 19*w**2 + 0*w + 0*w**3. Solve b(f) = 0 for f.
-1, 0, 2
Let f = 699/791 - 3/113. Let h = -313/28 - -47/4. Factor -f*v - h - 2/7*v**2.
-2*(v + 1)*(v + 2)/7
Factor -3/5*y + 2*y**2 + 0.
y*(10*y - 3)/5
Let l be -5 + (8/(-10) + 1 - 714/(-105)). Factor 2/3*r**3 - 4/9*r**l + 0 + 0*r - 2/9*r**4.
-2*r**2*(r - 2)*(r - 1)/9
Let t(o) be the first derivative of 495*o**6/2 - 159*o**5/5 - 14*o**4 + 4*o**3/3 - 272. Solve t(w) = 0 for w.
-2/11, 0, 1/15, 2/9
Let w(s) = 9*s - 18*s + 8*s. Let b(n) = n**3 + 2*n - 2. Let h(j) = -b(j) - 5*w(j). Solve h(g) = 0.
-1, 2
Let h(v) be the third derivative of 2*v**7/735 + 13*v**6/42 - 19*v**5/15 + 67*v**4/42 - v**2 - 168. Factor h(u).
4*u*(u - 1)**2*(u + 67)/7
Let g(v) be the third derivative of -5*v**8/28 + 55*v**7/42 - 89*v**6/24 + 21*v**5/4 - 95*v**4/24 + 5*v**3/3 + 79*v**2. Solve g(h) = 0.
1/4, 1/3, 1, 2
Let x(w) = 71 + 6*w - 3*w - 69 - 5*w**2. Let s(k) = -11*k**2 + 6*k + 2. Let f(m) = 2*s(m) - 5*x(m). Let f(g) = 0. Calculate g.
-1, 2
Let r(l) be the second derivative of l**7/14 - 7*l**6/10 - 3*l**5/20 + 7*l**4/4 - 185*l. Find p such that r(p) = 0.
-1, 0, 1, 7
Let i = 353 - 350. Find t, given that -25/2*t + 5/2*t**i - 10*t**2 + 0 = 0.
-1, 0, 5
Let c = -136 - -157. Factor 3 - m**4 + 11*m**2 + 8*m**2 - 4*m**3 + 4*m - c*m**2.
-(m - 1)*(m + 1)**2*(m + 3)
Let -112*l + 36 + 4*l**4 - 32*l**3 - 115*l - 125*l + 256*l + 88*l**2 = 0. Calculate l.
1, 3
Let g 