2*w**4 - w**3 + 6*w**2 - 2*w + 3. Let a(u) = 7*b(u) - 6*d(u). What is f in a(f) = 0?
-1, 1
Let q(u) = u**2 - 10*u + 11. Let o be q(9). Factor 0*w**3 - o + 2*w**3 - 3*w**3 + 3*w.
-(w - 1)**2*(w + 2)
Suppose m = 3*m. Factor k**4 + k**2 + m*k**2 + 2*k**4 - 4*k**4.
-k**2*(k - 1)*(k + 1)
Let u = 8197/3 - 2762. Let m = u - -365/12. What is n in m*n**2 + 3/4*n**3 + 1/4*n + 0 + 1/4*n**4 = 0?
-1, 0
Let u(g) = 3*g + 37. Let d be u(-12). Let n(h) be the first derivative of -10/3*h**3 + 3*h**2 - d + 4*h. What is l in n(l) = 0?
-2/5, 1
Let y(r) be the third derivative of 0 - 1/180*r**5 + 1/72*r**4 + r**2 + 0*r**3 + 0*r. Solve y(n) = 0 for n.
0, 1
Let j(l) = 2*l**4 + 3*l**3 + 10*l**2 + 4*l. Let y(h) = 2*h**4 + 2*h**3 + 10*h**2 + 4*h. Let p(q) = 6*j(q) - 5*y(q). Suppose p(w) = 0. What is w?
-2, -1, 0
Let c(m) be the third derivative of -m**5/60 - 5*m**4/24 + 4*m**3/3 - 9*m**2. Let i be c(-6). Factor 2/5*p**i + 8/5*p + 8/5.
2*(p + 2)**2/5
Suppose g - 4 = -4*y, 3*y - 2*g - 26 = 3*g. Suppose y - 3*f - 3*f - 3*f**2 + 7 = 0. Calculate f.
-3, 1
Let r(l) be the second derivative of l + 0 + 2/7*l**3 - 9/7*l**2 - 1/42*l**4. Find w such that r(w) = 0.
3
Factor 10*s**2 - s - 1 - 6 + 5*s + 1.
2*(s + 1)*(5*s - 3)
Let h = 943 - 1881/2. Factor -h + 5/2*y**2 + 0*y.
5*(y - 1)*(y + 1)/2
Suppose 5*b = 0, -2*y + y = 2*b. Let t(k) be the second derivative of 0 + 1/6*k**3 - 2*k + y*k**2 - 1/12*k**4. Factor t(c).
-c*(c - 1)
Let j(z) be the first derivative of 0*z**2 - 1/15*z**3 + 0*z**4 + 1 + 0*z + 1/25*z**5. Find w such that j(w) = 0.
-1, 0, 1
Let c be ((-12)/(-75))/((-4)/(-10)). Let r = 12 + -8. Factor 2/5*s**r - c*s**5 + 2/5 - 2/5*s + 4/5*s**3 - 4/5*s**2.
-2*(s - 1)**3*(s + 1)**2/5
Let m = -6 - -9. Let n be (0 - (2 + -2)) + m. Factor r**2 - 3*r**3 + 4*r**n + 0*r**3 - 1 - r.
(r - 1)*(r + 1)**2
Let d be ((-3)/(-7) - (-5 - 1)) + -1. Let 2/7*w**5 + 32/7*w - 2*w**4 - 50/7*w**2 - 8/7 + d*w**3 = 0. What is w?
1, 2
Let x = -4 - -37. Let t be 72/x - (-2)/(-11). Factor 2/3*h - 1/3*h**t + 0.
-h*(h - 2)/3
Let c(q) be the first derivative of 2*q**5/115 + 7*q**4/46 + 26*q**3/69 - 3*q**2/23 - 36*q/23 - 27. Determine s, given that c(s) = 0.
-3, -2, 1
Let b(z) = -4*z**2 - 9*z. Let x(c) = -c**2 - 2*c + 2 + 3 - 5. Let o(j) = 4*b(j) - 18*x(j). Factor o(f).
2*f**2
Let n(l) be the first derivative of -l**6/12 - l**5/15 + 14. Factor n(f).
-f**4*(3*f + 2)/6
Let k(r) = -r**4 - 7*r**3 + 2*r**2 + 3. Let w(f) = f**4 + 13*f**3 - 4*f**2 - 5. Let u(c) = 5*k(c) + 3*w(c). Factor u(z).
-2*z**2*(z - 1)**2
Let k(t) = 2*t**4 - 4*t**3 + 4*t - 2. Let h(r) = 2*r**4 - 5*r**3 + r**2 + 5*r - 3. Let o(n) = 2*h(n) - 3*k(n). Let o(s) = 0. Calculate s.
-1, 0, 1
Suppose -7 = m - w, 5*m + 2 = -4*w - 6. Let c(u) = 6*u**2 + 6*u - 4. Let z(v) = -5*v**2 - 5*v + 3. Let o(h) = m*z(h) - 3*c(h). Factor o(y).
2*y*(y + 1)
Let v be 8/(-60) + 7270/525. Factor v*i**2 + 128/7*i**3 + 24/7*i + 2/7.
2*(4*i + 1)**3/7
Let z**2 - 5*z**2 + z**3 + 5*z - 3 + 2*z - z**2 = 0. Calculate z.
1, 3
Let l(v) be the second derivative of -v**5/90 + v**4/36 - 3*v**2/2 + 3*v. Let m(s) be the first derivative of l(s). Let m(j) = 0. Calculate j.
0, 1
Let s(r) be the third derivative of r**8/784 - r**7/490 - r**6/280 + r**5/140 + 9*r**2. Suppose s(q) = 0. Calculate q.
-1, 0, 1
Let t be 18/(-56)*-2 - (-72)/84. Factor -15*h**2 + 3/2*h**5 + 15/2*h + 15*h**3 - t - 15/2*h**4.
3*(h - 1)**5/2
Find y such that 741 + y**2 + 2*y**3 - 741 = 0.
-1/2, 0
Let x(y) = -y**2 + 2*y + 3. Let q be x(3). Let j(z) be the first derivative of 3 + q*z + z**3 + 3/5*z**2. Factor j(n).
3*n*(5*n + 2)/5
Let 0 + 1/7*s**3 + 0*s + 3/7*s**2 = 0. What is s?
-3, 0
Factor -5*q**4 + 25*q**3 - 15*q**2 + 11*q**5 - 25*q**5 + 9*q**5.
-5*q**2*(q - 1)**2*(q + 3)
Let q(x) be the second derivative of -x**5/10 - x**4/3 - x**3/3 + 6*x. Suppose q(l) = 0. Calculate l.
-1, 0
Suppose 2*x = 31 - 23. Find c, given that 3/4*c - 1/4*c**5 - 1/2*c**3 - 3/4*c**x + 1/2*c**2 + 1/4 = 0.
-1, 1
Determine i so that -12*i**2 + 35*i**3 + 468*i**4 + 16*i**2 + 45*i**3 + 648*i**5 = 0.
-1/2, -1/9, 0
Let m(i) be the first derivative of -5*i**3 + 6*i**2 + 3*i + 10. Factor m(k).
-3*(k - 1)*(5*k + 1)
Let m = -13 + 20. Suppose m*c - 4*c = 6. Factor -2/3*g**c - 1/3*g + 1/3*g**3 + 2/3.
(g - 2)*(g - 1)*(g + 1)/3
Let h = -2213/2 + 1129. Let k = -22 + h. Factor 1/2*f + 0*f**2 + 0 - k*f**3.
-f*(f - 1)*(f + 1)/2
Let j = -37 + 39. Let y(u) be the first derivative of -1/2*u**2 - j + 0*u + 1/3*u**3. Suppose y(t) = 0. Calculate t.
0, 1
Let p(u) be the first derivative of u**6/18 + u**5/15 - 27. Factor p(m).
m**4*(m + 1)/3
Let w(h) = -h - 1. Let x(n) = -2*n**2 - 2*n + 6. Let r(q) = 2*w(q) - x(q). Factor r(c).
2*(c - 2)*(c + 2)
Find y such that 0 + 4/11*y**2 - 4/11*y**4 + 10/11*y**5 - 10/11*y**3 + 0*y = 0.
-1, 0, 2/5, 1
Let g = 373/15 + -71/3. Solve -g*a**4 + 0*a - 4/5*a**2 + 0 + 2*a**3 = 0.
0, 2/3, 1
Let g = 2233/3 + -743. Suppose 4/3*w - g - 1/3*w**2 = 0. Calculate w.
2
Let s = -699 + 709. What is l in 16/3*l - 2*l**5 - 22/3*l**4 - 8/3 - 10/3*l**3 + s*l**2 = 0?
-2, -1, 1/3, 1
Factor -3/7*i**2 + 3/7*i + 0.
-3*i*(i - 1)/7
Let q(d) be the third derivative of 8/3*d**3 + 0*d + 1/15*d**5 + 0 - 6*d**2 - 2/3*d**4. Let q(z) = 0. What is z?
2
Let z(n) be the third derivative of n**8/1344 + n**7/420 - n**5/120 - n**4/96 - 8*n**2. Find q, given that z(q) = 0.
-1, 0, 1
Suppose 0 = 4*z - 16*z + 24. Factor 0*r + 0 + 2/7*r**4 + 4/7*r**z - 6/7*r**3.
2*r**2*(r - 2)*(r - 1)/7
Let p(h) = -14*h**5 - 125*h**4 - 214*h**3 - 164*h**2 - 39*h. Let w(f) = 3*f**5 + 25*f**4 + 43*f**3 + 33*f**2 + 8*f. Let n(b) = 2*p(b) + 11*w(b). Factor n(j).
5*j*(j + 1)**3*(j + 2)
Suppose 5 = 2*r - 1. Let x = -26/15 - -12/5. Let 10/3*m**2 + 4/3*m**r + 8/3*m + x = 0. What is m?
-1, -1/2
Let j be ((-20)/6)/(21/9 - 3). Let s(d) be the second derivative of 0 - 1/24*d**3 + 0*d**2 + 0*d**4 + d + 1/80*d**j. Determine c so that s(c) = 0.
-1, 0, 1
Let o = -6 - -5. Let f = o + 5. Factor -4*g**f + 4*g**4 + 0*g**4 - g**4.
-g**4
Suppose s = 3*s - 4. Suppose 0 = -0*p + s*p. Let p - 1/2*q - 3/4*q**4 + 1/2*q**3 + 3/4*q**2 = 0. Calculate q.
-1, 0, 2/3, 1
Factor -7/2*z + 3/2*z**3 - 3/2*z**2 + 3 + 1/2*z**4.
(z - 1)**2*(z + 2)*(z + 3)/2
Suppose 0*q**4 + 3/2*q - 3*q**3 + 0 + 0*q**2 + 3/2*q**5 = 0. Calculate q.
-1, 0, 1
Let x = -617/2 - -278. Let n = 31 + x. Factor r + 0 + n*r**2.
r*(r + 2)/2
Let h = 18134/255 + 47/85. Let l = h + -71. Let 2/9 + 2/9*i**3 + l*i**2 + 2/3*i = 0. Calculate i.
-1
Let s(l) be the third derivative of -l**7/3780 - l**6/270 - l**5/45 - l**4/24 + l**2. Let p(b) be the second derivative of s(b). Factor p(w).
-2*(w + 2)**2/3
Let b(o) be the third derivative of -o**6/220 + o**5/110 + 5*o**4/44 + 3*o**3/11 + 31*o**2. Factor b(k).
-6*(k - 3)*(k + 1)**2/11
Let z(w) = -w**2 - 5. Let o(t) = -8*t**2 - 46. Let h(u) = 6*o(u) - 52*z(u). What is m in h(m) = 0?
-2, 2
Let o = -1961/13 - -151. Factor 66/13*t**4 + 92/13*t**3 + 18/13*t + o + 60/13*t**2 + 18/13*t**5.
2*(t + 1)**3*(3*t + 1)**2/13
Let u be -4 - -1*(-2)/(-2). Let a be 3*(-1)/u*3. Solve 4*f**2 + 0*f + 2 - a*f - 3*f**2 = 0 for f.
1, 2
Determine q, given that 30*q**3 + 60*q**2 + 73*q - 2 + 0 + 17 + 5*q**4 - 23*q = 0.
-3, -1
Let a(u) = 8*u**3 + 22*u**2 - 62*u + 35. Let i(n) = 9*n**3 + 21*n**2 - 61*n + 35. Let z(o) = 4*a(o) - 3*i(o). Find s such that z(s) = 0.
-7, 1
Let v(x) be the first derivative of x**5/5 + x**4/2 + x**3/3 - 6. Determine z, given that v(z) = 0.
-1, 0
Let d(q) be the second derivative of 1/24*q**4 + 0*q**2 - 3*q + 1/6*q**3 + 0. What is t in d(t) = 0?
-2, 0
Let r(l) be the first derivative of 4*l + 9/2*l**4 - 9*l**2 - 14/5*l**5 + 10/3*l**3 + 1. Determine x, given that r(x) = 0.
-1, 2/7, 1
Let p(b) be the first derivative of b**3/6 - b**2/4 - b + 2. Factor p(y).
(y - 2)*(y + 1)/2
Suppose 2*m - 384 = 828. Let i = 4260/7 - m. Suppose 8/7 + i*g**2 - 24/7*g = 0. Calculate g.
2/3
Let y(b) be the second derivative of -9*b + 17/30*b**5 - 17/9*b**3 + 2/3*b**2 + 17/9*b**4 + 0 - 4/5*b**6. Let y(r) = 0. What is r?
-1, 2/9, 1/4, 1
Suppose 5*f + 2 = 12. Factor -2 + 5*q**3 - 13*q**3 + q**2 + q**f + 8*q.
-2*(q - 1)*(q + 1)*(4*q - 1)
Let k(o) be the third derivative of 11*o**7/105 + o**6/30 + 49*o**2. Factor k(f).
2*f**3*(11*f + 2)
Let y(g) = g**2 - 12*g + 3. Let a(s) = s**2 - 2*s - 3. Let o be a(-3). Let q be y(o). Factor x**2 - 1/2*x - 1/2*x**q 