 -3*w + 4*b = -12, -6*b - 15 = -b. Let o be (w*(-1)/(-3))/2. Factor 1/3*l**2 + o*l - 1/3.
(l - 1)*(l + 1)/3
Let y(w) be the third derivative of -w**7/525 + w**5/100 + w**4/60 - w**3/6 - w**2. Let v(k) be the first derivative of y(k). Factor v(r).
-2*(r - 1)*(2*r + 1)**2/5
Factor 0*x - 1/5*x**2 + 1/5.
-(x - 1)*(x + 1)/5
Let a(z) be the first derivative of 1/5*z**5 + 3 + 0*z**2 + 0*z**3 + 0*z + 0*z**4. Factor a(c).
c**4
Suppose 4*d - 5*d + 6 = 0. Let m be d/4*(-16)/(-12). Let 3/2*q**m - 3/2*q**5 + 0*q + 0 - 3/2*q**4 + 3/2*q**3 = 0. Calculate q.
-1, 0, 1
Let s(f) be the first derivative of 3*f + 1/2*f**3 + 2 - 9/4*f**2. What is a in s(a) = 0?
1, 2
Suppose 0 = -i - 5*p + 4*p - 1, -3*p = 2*i + 3. Suppose o + a - 4 = -2*o, -3*o + 4*a + 14 = i. Factor -4*z**o - 2*z**2 + z**2 - 3*z + 1 + 2*z - 3*z**3.
-(z + 1)**2*(3*z - 1)
Suppose 2*g + 2*l - 4*l = -6, -4*g - 8 = -3*l. Let p(w) be the first derivative of -1/2*w**2 - w - 1/5*w**5 + g + 1/2*w**4 + 2/3*w**3 - 1/6*w**6. Factor p(j).
-(j - 1)**2*(j + 1)**3
Let v(s) be the second derivative of s**9/7560 - s**7/2100 + s**3/2 - 3*s. Let a(l) be the second derivative of v(l). Factor a(o).
2*o**3*(o - 1)*(o + 1)/5
Let w = -21851 + 1507783/69. Let r = w - 6/23. Factor -r*s**2 + 8/3*s - 8/3.
-2*(s - 2)**2/3
Let b(t) be the first derivative of 3*t**4/20 - 3*t**3/5 + 9*t**2/10 - 3*t/5 - 2. Factor b(v).
3*(v - 1)**3/5
Let v(l) = -l**3 + l - 1. Let a(g) be the first derivative of -g**5/5 + 3*g**4/2 - g**3 - g**2 + 3*g + 3. Let d(k) = a(k) + 3*v(k). Factor d(f).
-f*(f - 1)**3
Suppose -b = b - 4. Factor 3*y**3 - y**3 - b*y + 0*y**3.
2*y*(y - 1)*(y + 1)
Let j(o) = o + 1. Let v(w) be the first derivative of w**4/2 - 5*w**3/3 - w**2/2 - 3*w - 2. Let x(g) = -6*j(g) - 2*v(g). Factor x(y).
-2*y*(y - 2)*(2*y - 1)
Let i = -4 + 7. Solve -5 - 3*u**i + 2 + 3*u + 3*u**4 - u**2 - u**4 + 2 = 0 for u.
-1, 1/2, 1
Let j(w) = -w**4 + w**3 - w**2 - w. Let l(r) = 4*r**4 - 3*r**3 + 8*r**2 + 3*r. Let g(y) = 6*j(y) + l(y). Solve g(o) = 0.
-1, 0, 1, 3/2
Let x(z) = -8*z - 95. Let s be x(-12). Factor -1/2*q**2 + s - 1/2*q.
-(q - 1)*(q + 2)/2
Let t(p) be the second derivative of -p**8/224 + p**7/70 - p**5/20 + p**4/16 - p**2/2 - 5*p. Let x(i) be the first derivative of t(i). Factor x(h).
-3*h*(h - 1)**3*(h + 1)/2
Let t(q) = q. Let z be t(0). Let a be -1 - (-2)/((-30)/(-25)). Suppose 0 - a*f**4 - 2/3*f**3 + z*f**2 + 0*f = 0. What is f?
-1, 0
Let w be (-2)/(-26)*(5 + -15)*-2. Factor 0*m**2 - w*m**4 - 10/13*m + 4/13 + 20/13*m**3 + 6/13*m**5.
2*(m - 1)**4*(3*m + 2)/13
Let f(q) be the second derivative of -q**4/8 + 9*q**3/4 - 6*q**2 + 11*q. Factor f(s).
-3*(s - 8)*(s - 1)/2
Find f, given that 3 - 11/4*f - 1/4*f**2 = 0.
-12, 1
Let d = 9 + -2. Factor v**2 + 3*v**2 + 2 - d*v**2 + v**2.
-2*(v - 1)*(v + 1)
Let r be (-6)/(-44)*4/6. Let l = r + 9/22. Factor -l*g + 1/2*g**2 + 0.
g*(g - 1)/2
Let p(h) be the second derivative of 9*h**5/20 - 7*h**4/4 + h**3 + h. Factor p(o).
3*o*(o - 2)*(3*o - 1)
Let k(c) be the first derivative of 1/2*c**2 - 1 + 1/5*c**5 + 3*c - 2/3*c**3 - 1/12*c**4. Let h(s) be the first derivative of k(s). Factor h(f).
(f - 1)*(f + 1)*(4*f - 1)
Let j = 107/230 - -4/115. Suppose -j*l**5 + 1/2*l + 0 + l**2 + 0*l**3 - l**4 = 0. What is l?
-1, 0, 1
Suppose -3*i = -0*i. Suppose 2*x = 5*n + 11 - 5, 6 = 2*x - n. Determine y so that 0*y**2 + i*y - 2/7*y**x + 0 = 0.
0
Let d(y) be the first derivative of -y**4/16 - y**3/6 + y**2/8 + y/2 - 21. Factor d(l).
-(l - 1)*(l + 1)*(l + 2)/4
Let f(j) be the third derivative of 0*j**5 + 0*j**7 + 1/6*j**4 - 1/15*j**6 + 1/84*j**8 + 0*j**3 + 0*j - 3*j**2 + 0. Factor f(z).
4*z*(z - 1)**2*(z + 1)**2
Let w = -104 - -110. Let a(h) be the second derivative of 1/15*h**w + h + 0*h**4 - h**2 + 1/5*h**5 + 0 - 2/3*h**3. Factor a(b).
2*(b - 1)*(b + 1)**3
Let m(w) be the first derivative of 4/3*w + 4 - 2*w**2 + w**3. Suppose m(b) = 0. Calculate b.
2/3
Let d(n) be the first derivative of -n**4/8 + 23*n**3/18 - 7*n**2/6 - 30. Suppose d(m) = 0. Calculate m.
0, 2/3, 7
Let c(y) = y**4 + 2*y**3 - 2*y - 1. Let u(x) = -5*x**4 - 11*x**3 - x**2 + 11*x + 6. Suppose 4*l = 2*l + 22. Let a(w) = l*c(w) + 2*u(w). Factor a(g).
(g - 1)**2*(g + 1)**2
Let m(k) = -k**2 + 6*k + 10. Let h be m(7). Suppose -24*v + 6*v**4 + 9*v**2 - 5*v**h + 5*v**3 + 21*v**3 + 0*v - 12 = 0. What is v?
-2, -1/2, 1
Suppose y + 4*p = -4*y + 42, -24 = -3*y - 2*p. Let c = 8 - y. Factor 2*i**4 + 13*i**2 - 13*i**2 - c*i**5.
-2*i**4*(i - 1)
Let s(c) = 24*c**3 - 207*c**2 + 465*c + 153. Let b(o) = 23*o**3 - 206*o**2 + 465*o + 152. Let l(i) = 3*b(i) - 2*s(i). Factor l(k).
3*(k - 5)**2*(7*k + 2)
Let o = 5 + -5. Suppose o = -w + 4*d + 4, w = 4*w + 3*d + 3. Factor -2/7*z**2 + 0 + w*z.
-2*z**2/7
Suppose 5*n = s + 2*n + 1, 2*n = -4*s + 10. Suppose 3*f - s*b = 12, 4*f - b = 3*b + 12. Determine k so that 2*k**3 - 2 - 5*k + 8*k**2 + 15*k + f = 0.
-2, -1
Suppose 2*h - 4 + 0*h**3 + 0*h**3 + 6 - 2*h**2 - 2*h**3 = 0. What is h?
-1, 1
Let 1/2*q**3 + 0 + 0*q**2 + 0*q = 0. What is q?
0
Let g(b) be the second derivative of -b**7/14 - b**6/5 + b**4/2 + b**3/2 - 17*b. Let g(c) = 0. What is c?
-1, 0, 1
Let r(p) be the second derivative of -p**7/2520 + p**6/240 - p**5/60 - p**4/12 + p. Let y(l) be the third derivative of r(l). What is g in y(g) = 0?
1, 2
Suppose x = 129 - 483. Let p = x - -2482/7. Factor -2/7 - p*s - 2/7*s**2.
-2*(s + 1)**2/7
Suppose -30 = 5*h - 10*h + 5*z, -h - 3*z = -2. Let y(b) be the second derivative of 1/4*b**4 + b + 0 + 1/2*b**2 + 1/20*b**h + 1/2*b**3. Let y(q) = 0. What is q?
-1
Suppose -4*k - 20 = -14*k. Let y(j) be the third derivative of k*j**2 + 0 - 1/420*j**6 + 0*j - 1/210*j**5 + 0*j**4 + 0*j**3. Factor y(r).
-2*r**2*(r + 1)/7
Let r = 415/6 + -8297/120. Let y(o) be the second derivative of 1/24*o**4 + 0*o**2 + 2*o + 0 - r*o**5 + 0*o**3. Factor y(w).
-w**2*(w - 1)/2
Let x = 2471373/50 + -49424. Let c = -24/25 + x. Factor -17/2*v**3 + 1 + c*v**4 + 21/2*v**2 - 11/2*v.
(v - 1)**3*(5*v - 2)/2
Let p(z) be the first derivative of 4*z**3/3 - 4*z**2 - 12*z + 4. Let p(o) = 0. Calculate o.
-1, 3
Let v(c) be the first derivative of -2/9*c**3 + 3 + 2/3*c + 0*c**2. Determine z so that v(z) = 0.
-1, 1
Let d(n) = 7*n**2 + 3*n - 6. Let a(p) = -p - 1. Let g(i) = 6*a(i) + 3*d(i). Let m(r) = 5*r**2 + r - 6. Let y(b) = 2*g(b) - 9*m(b). Solve y(f) = 0.
-2, 1
Let p be (0/15)/(3/3). Factor 0*i - 1/4*i**2 + p.
-i**2/4
Let x(r) = r**2 - 3*r + 2. Let k be x(3). Let z = 2 - k. What is i in -i**2 + 1/2*i**4 + 0*i + 1/2 + z*i**3 = 0?
-1, 1
Let v(x) be the first derivative of 0*x + 5/6*x**6 + 2 - 5/4*x**4 - 2/5*x**5 + 0*x**2 + 2/3*x**3. Factor v(h).
h**2*(h - 1)*(h + 1)*(5*h - 2)
Let r(w) be the second derivative of -w**4/48 - w**3/24 + w**2/4 - 9*w. Determine c, given that r(c) = 0.
-2, 1
Let i(o) be the third derivative of -o**8/23520 - o**7/1764 - o**6/315 - o**5/105 + o**4/24 - 4*o**2. Let v(b) be the second derivative of i(b). Factor v(l).
-2*(l + 1)*(l + 2)**2/7
Let l(n) be the first derivative of -n**8/280 - n**7/75 - n**6/60 - n**5/150 + 4*n**2 + 3. Let c(v) be the second derivative of l(v). Factor c(p).
-2*p**2*(p + 1)**2*(3*p + 1)/5
Let v(o) be the third derivative of -343*o**8/216 + 392*o**7/135 - 98*o**6/45 + 112*o**5/135 - 4*o**4/27 - 19*o**2. Find b such that v(b) = 0.
0, 2/7
Let g(a) be the third derivative of 0*a - 1/100*a**6 + 1/525*a**7 + 1/50*a**5 + a**2 - 1/60*a**4 + 0 + 0*a**3. Factor g(y).
2*y*(y - 1)**3/5
Let q(y) be the first derivative of 1/6*y**4 + 1/3*y**2 - y - 2 + 1/3*y**3 + 1/30*y**5. Let o(s) be the first derivative of q(s). Factor o(h).
2*(h + 1)**3/3
Let g be 5/(-30)*-33 + -4. Let b(c) be the second derivative of -2*c**3 - c - 1/10*c**6 + 0 + 3/4*c**5 - g*c**4 + 12*c**2. Suppose b(y) = 0. What is y?
-1, 2
Let w(p) be the third derivative of -1/120*p**6 - 1/24*p**4 + 0 - p**2 - 1/30*p**5 + 0*p + 0*p**3. Solve w(b) = 0 for b.
-1, 0
Let s(q) be the third derivative of -q**7/735 + q**6/84 - 3*q**5/70 + q**4/12 - 2*q**3/21 - 7*q**2. Factor s(h).
-2*(h - 2)*(h - 1)**3/7
Suppose -5*b = d - 1, -6*b + 4*b - d = 2. Let k be b/5 - (-216)/45. Let -4/5*y**3 + 6/5*y - 2/5*y**k - 4/5*y**2 - 2/5 + 6/5*y**4 = 0. Calculate y.
-1, 1
Determine u so that 3*u - 1/4*u**3 + 0*u**2 - 4 = 0.
-4, 2
Let r = -8 - 48. Let k be (7/r)/((-2)/4). Let 0*s**2 + 0 + 1/4*s - k*s**3 = 0. What is s?
-