**2 - 9*b + 7 + 3*b**2 + 5*b**2. Let u(t) = -4*g(t) + 5*r(t). Factor u(w).
2*(w - 1)**2
Let q(h) = 2*h - 2. Let o be q(1). Let -2/7*v + o + 6/7*v**3 - 4/7*v**2 = 0. Calculate v.
-1/3, 0, 1
Let o(x) be the first derivative of x**6/3 - 2*x**4 - 4*x**3/3 + 3*x**2 + 4*x + 5. Factor o(s).
2*(s - 2)*(s - 1)*(s + 1)**3
Let f = 397/8 + -103/2. Let b = f - -53/24. Factor -1/3*n**5 + 4/3 + 5/3*n**3 - 8/3*n + 1/3*n**2 - b*n**4.
-(n - 1)**3*(n + 2)**2/3
Let k be (14 + 2)*(-2)/(-4). Suppose 4*y - k = 2*y. Suppose -2*w**3 + 4*w**3 - 2*w + y*w**2 + 2*w**4 - 6*w**4 = 0. What is w?
-1, 0, 1/2, 1
Suppose 2*t + 30 = -3*t. Let w = t - -9. What is k in -16*k**4 - 29*k**w - 17*k**4 - 25*k**3 - 7*k**5 + k**5 + 24*k - 12*k**2 = 0?
-2, 0, 1/2
Suppose 0 - 6/17*w**3 + 2/17*w**4 + 2/17*w**5 + 4/17*w - 2/17*w**2 = 0. Calculate w.
-2, -1, 0, 1
Let x be (7/4)/(1/4). Find u such that -u**2 - 2 - 2*u**3 + 2 - 8 + x*u**2 = 0.
-1, 2
Factor 4*h - 10*h**2 - 2/5.
-2*(5*h - 1)**2/5
Let l(f) be the first derivative of -f**3/21 + f/7 + 44. Find z such that l(z) = 0.
-1, 1
Let v = -377 - -379. Suppose -2/3*n**v + 2/3 + 0*n = 0. Calculate n.
-1, 1
Let y = 2563/5 + -512. Suppose y*z**2 + 0 - 9/5*z = 0. Calculate z.
0, 3
Let h(v) be the third derivative of -v**9/5040 + v**8/960 - v**7/504 + v**6/720 + v**4/8 - 3*v**2. Let z(g) be the second derivative of h(g). Factor z(k).
-k*(k - 1)**2*(3*k - 1)
Let n(t) be the second derivative of 3*t**4/8 - 2*t**3/3 + t**2/3 + 7*t. Factor n(c).
(3*c - 2)*(9*c - 2)/6
Let t(s) be the first derivative of 3 - 1/20*s**5 - 1/4*s + 1/6*s**3 + 0*s**4 + 0*s**2. Solve t(h) = 0.
-1, 1
Let u be 8/(-48) - (-4)/6. Suppose 0 = -d + 1 + 1. Factor 0*x**d + 0*x**4 + 1/2*x**3 + 0 - u*x**5 + 0*x.
-x**3*(x - 1)*(x + 1)/2
Let f = 4 - 2. Suppose -2/5*x**3 + 0 + 2/5*x - 2/5*x**4 + 2/5*x**f = 0. What is x?
-1, 0, 1
Suppose 29 + 11 = 5*n. Let d be n/28 + 6/28. Factor d*i - 1/2*i**2 + 0.
-i*(i - 1)/2
Let x(k) be the first derivative of -k**6/6 - 2*k**5/5 - k**4/12 + k**3/3 + 4*k + 1. Let b(c) be the first derivative of x(c). Let b(o) = 0. Calculate o.
-1, 0, 2/5
Let x(s) = s**2 - 6*s + 2. Suppose 2*b + 2*b - 24 = 0. Let k be x(b). Factor 1 + 7 + 8*z - z**k + 3*z**2.
2*(z + 2)**2
Factor 3/2 - 9/4*a**2 - 3/4*a + 3/4*a**4 + 3/4*a**3.
3*(a - 1)**2*(a + 1)*(a + 2)/4
Factor 3/5*s - 3/5*s**2 + 6/5.
-3*(s - 2)*(s + 1)/5
Let i(o) be the third derivative of o**7/735 + o**6/420 - o**5/210 - o**4/84 + 4*o**2. Let i(p) = 0. What is p?
-1, 0, 1
Let d(q) be the second derivative of -q**5/90 + 2*q**4/27 - q**3/9 - 6*q. Let d(w) = 0. What is w?
0, 1, 3
What is o in -2/7*o**3 + 12/7*o**2 + 16/7 - 24/7*o = 0?
2
Let q(i) be the second derivative of -i**6/45 - i**5/10 - i**4/6 - i**3/9 + 6*i. Factor q(a).
-2*a*(a + 1)**3/3
Suppose -8*z = 2*z - 10. Let r(j) be the first derivative of 0*j**3 - 1/6*j**4 - 16/9*j**6 + 0*j + 0*j**2 - 16/15*j**5 + z. Determine v so that r(v) = 0.
-1/4, 0
Let c = 6551/4 + -29779/20. Let b = c - 148. Determine g, given that 0 + b*g**2 + 2/5*g**3 - 2/5*g**5 - 4/5*g**4 + 0*g = 0.
-2, -1, 0, 1
Let v(t) be the second derivative of -t**7/56 - t**6/40 + 3*t**5/80 + t**4/16 + 6*t. What is o in v(o) = 0?
-1, 0, 1
Let s(j) be the second derivative of j**4/6 - 2*j**3/15 - 3*j**2/5 - 13*j. Factor s(g).
2*(g - 1)*(5*g + 3)/5
Let a(w) be the first derivative of -4*w**5/15 + 5*w**4/12 + w**3/3 - 5*w**2/6 + w/3 - 6. Solve a(y) = 0 for y.
-1, 1/4, 1
Let n be (1*9)/(8 - 7). Let d(u) = u**3 - 8*u**2 - 9*u + 3. Let h be d(n). What is c in -9*c**4 - 3*c**3 - 4*c**5 - c**2 + 0*c**3 - 3*c**h = 0?
-1, -1/4, 0
Let w(v) be the third derivative of v**5/90 - 5*v**4/36 + 4*v**3/9 + 9*v**2. Suppose w(a) = 0. Calculate a.
1, 4
Let g be 2/(-3) + 10/15. Let i(z) be the third derivative of 0 + 2*z**2 + 0*z**4 + 0*z + g*z**3 - 1/60*z**5. Find j such that i(j) = 0.
0
Let n(o) be the second derivative of o**5/60 - o**4/8 - 5*o**2/2 - o. Let a(g) be the first derivative of n(g). Factor a(s).
s*(s - 3)
Let t(w) = -7*w**2 + 7. Let p(c) be the first derivative of -4*c**3/3 + 4*c + 3. Let s(y) = 5*p(y) - 3*t(y). Determine o so that s(o) = 0.
-1, 1
Let y = -2/181 - -547/362. Let 0 + 0*m + 1/2*m**2 - 1/2*m**5 - y*m**3 + 3/2*m**4 = 0. What is m?
0, 1
Suppose 3*m + 24 = 3*u, 0*u + 5*m = -2*u + 2. Suppose -3*r = -u*r. Factor 1/4*l**3 + 0 + 1/2*l**4 + 1/4*l**5 + 0*l + r*l**2.
l**3*(l + 1)**2/4
Let b(x) = -2*x**2 + 2*x - 3. Let z(i) = i**3 + 2*i**2 - 3*i + 4. Let r(w) = 4*b(w) + 3*z(w). Let q(c) = -c**2 + c. Let d(n) = -2*q(n) + r(n). Factor d(g).
3*g*(g - 1)*(g + 1)
Let c = 67 + -62. Factor -1/5*h + 0*h**2 + 0*h**4 - 1/5*h**c + 0 + 2/5*h**3.
-h*(h - 1)**2*(h + 1)**2/5
Let f(d) be the third derivative of 2*d**6/15 + 11*d**5/15 + 5*d**4/6 - 4*d**3/3 - 5*d**2. Factor f(m).
4*(m + 1)*(m + 2)*(4*m - 1)
Suppose -58 = -5*o + 2. Let g be 1*((-28)/o + 3). Solve 2/3*m**4 + 0*m + 0*m**2 + 0 - g*m**5 + 0*m**3 = 0 for m.
0, 1
Let z(t) be the first derivative of -t**8/420 + t**7/70 - t**6/45 + 7*t**3/3 + 6. Let b(w) be the third derivative of z(w). Factor b(u).
-4*u**2*(u - 2)*(u - 1)
Let f(j) be the second derivative of j**7/147 + j**6/35 + j**5/35 - j**4/21 - j**3/7 - j**2/7 - 12*j. What is p in f(p) = 0?
-1, 1
Let y be (-7 - 525/(-77))*-2. Factor 2/11*u**2 + 2/11 + y*u.
2*(u + 1)**2/11
Solve 3/2*k**3 - 9/2*k**2 + 3*k + 0 = 0 for k.
0, 1, 2
Solve -7/6*b + b**2 + 1/6*b**3 - 1/3*b**4 + 1/3 = 0.
-2, 1/2, 1
Let g = -2 + 6. Suppose x**5 + 2*x**5 + 2*x - 4*x**3 - 4*x**5 + 4*x**2 - 2*x**g + 3*x**5 - 2 = 0. What is x?
-1, 1
Let s = -346 + 695/2. Let -1/2*k**4 + 1/2*k**3 + s*k**2 + 1 - 5/2*k = 0. Calculate k.
-2, 1
Let x = 0 + -1. Let p be x/((-3)/(-18)*-2). Factor -2*w - w**5 + 6 - 6 + 4*w**4 - 4*w**2 + p*w**5.
2*w*(w - 1)*(w + 1)**3
Let b(a) be the first derivative of a**6/30 - 3*a**5/25 + a**4/10 + 2*a**3/15 - 3*a**2/10 + a/5 + 26. Factor b(i).
(i - 1)**4*(i + 1)/5
Let c(b) be the third derivative of -b**6/240 - 4*b**2. Factor c(s).
-s**3/2
Let u(r) be the first derivative of 2*r**3/27 - 2*r**2/9 + 2*r/9 + 25. Factor u(l).
2*(l - 1)**2/9
Let f(i) be the third derivative of i**8/224 + i**7/70 - 3*i**6/80 - i**5/10 + i**4/4 - 3*i**2. Factor f(w).
3*w*(w - 1)**2*(w + 2)**2/2
Let v(q) be the first derivative of -2/3*q**3 - 3/4*q**4 + 0*q**2 - 2 + 0*q - 1/5*q**5. Factor v(g).
-g**2*(g + 1)*(g + 2)
Suppose 0*k**2 + 1/6*k + 0 - 1/6*k**3 = 0. Calculate k.
-1, 0, 1
Let v be (3 + -5 - -2) + 0 + 0. Factor 2/3*h**4 + 0 - 2/3*h**5 + 0*h**2 + 0*h + v*h**3.
-2*h**4*(h - 1)/3
Let i(v) be the third derivative of v**6/240 - v**5/20 + v**4/4 - 2*v**3/3 + 21*v**2. Find f such that i(f) = 0.
2
Suppose 0 = 4*b + 6 - 14. Let g = 259/26 - 84/13. Factor 9/2*u + g*u**b + 1.
(u + 1)*(7*u + 2)/2
Let h(o) = -o**3 + 5*o**2 + 8*o - 9. Let q be h(6). Suppose -p = q*p. Factor -2*r**3 - r + r**3 + 4*r**2 - 2*r**2 + p*r.
-r*(r - 1)**2
Let s(d) = -d**2 - d. Let v = 66 + -42. Let o(u) = -17*u**2 - 19*u - 2. Let b(f) = v*s(f) - 3*o(f). Suppose b(g) = 0. Calculate g.
-1, -2/9
Let q(v) be the third derivative of v**5/100 + v**4/40 + 4*v**2. Solve q(o) = 0.
-1, 0
Let c(f) be the third derivative of 0*f**5 + 1/300*f**6 + 0*f**7 + 0*f**3 + 0 - 1/840*f**8 + 0*f + 0*f**4 - 2*f**2. Let c(i) = 0. Calculate i.
-1, 0, 1
Determine l, given that 8/17*l - 6/17*l**3 + 0*l**2 - 2/17*l**4 + 0 = 0.
-2, 0, 1
Let j = 95/24 - 21/8. Factor 2/3*f - j + 2/3*f**2.
2*(f - 1)*(f + 2)/3
Let l be (0 - -1 - 1)/(-1 + -1). Suppose 1/2*b**3 + 0 - 1/4*b**4 + l*b - 1/4*b**2 = 0. Calculate b.
0, 1
Suppose -26 = -5*j + 4*v, -3*j + 5*v - 81 + 107 = 0. Factor 4/7*p**5 + 8/7*p**j - 4/7*p + 0*p**3 - 8/7*p**4 + 0.
4*p*(p - 1)**3*(p + 1)/7
Let b(i) = i**3 - 4*i**2 + i - 1. Let c be b(4). Suppose -2*w + c = -2*n + 3*n, -2*w = 0. What is j in -j**2 - 3*j**n + 0*j**3 - j**5 - 3*j**4 + 0*j**4 = 0?
-1, 0
Find r such that -35/6*r - 15/2*r**2 + 5/3 = 0.
-1, 2/9
Let i(b) be the first derivative of 1/18*b**4 + 1/3*b**3 - 2 + 0*b**2 - 1/540*b**6 + 0*b - 1/180*b**5. Let u(n) be the third derivative of i(n). Factor u(x).
-2*(x - 1)*(x + 2)/3
Let v(r) = r**3 - 13*r**2 + 10*r + 1. Let w be v(12). Let p = -114/5 - w. Solve 0 + 1/5*x**4 - p*x - 3/5*x**3 + 3/5*x**2 = 0 for x.
0, 1
Factor -16/7 + 16/7*g - 4/7*g**3 + 4/7*g**2.
-4*(g - 2)*(g - 1)*(g + 2)/7
Let l = -160/9 - -166/9. Factor 2/9*g + 0 + 2/3*g**2 + 2/9*g**4 + l*g**3.
2