3 + v*l**4 + 1/3 + 0*l - 2/3*l**2 = 0. What is l?
-1, 1
Let j(m) be the third derivative of m**4/24 + 5*m**3/6 - 4*m**2. Let y be j(-3). Factor -1/3 - 1/3*x**3 + 1/3*x + 1/3*x**y.
-(x - 1)**2*(x + 1)/3
Let t(p) = -8*p**2 - p + 4. Let a(i) = 9*i**2 - 3. Let w(y) = -y. Let u be w(6). Let z(f) = u*t(f) - 5*a(f). Find d such that z(d) = 0.
-3, 1
Let l be 2/10 - 212/560. Let k = 3/7 + l. Factor -3/2*q**2 - q**3 - q - k - 1/4*q**4.
-(q + 1)**4/4
Let p(o) be the third derivative of o**8/112 + 3*o**7/70 + o**6/20 - 9*o**2. Solve p(c) = 0.
-2, -1, 0
Let d(f) = f**2 + 4*f. Let u be d(-4). Suppose u = 2*m - 4 - 0. Solve 4*y + 14*y**3 + 4*y**2 + 2*y**2 + 12*y**m = 0 for y.
-1, -2/7, 0
Solve -2*u + 6/5*u**2 - 4/5 = 0 for u.
-1/3, 2
Let m(v) be the third derivative of -v**9/504 + 11*v**8/840 - 19*v**7/1260 + v**6/180 - v**3/3 - 2*v**2. Let f(s) be the first derivative of m(s). Factor f(j).
-2*j**2*(j - 3)*(3*j - 1)**2/3
Let o(b) = b - 6. Let j be o(7). Let w(x) = -x**3 + 3*x**2 + 1. Let t be w(2). Determine m, given that -j - t*m**2 + 2*m**2 - 3*m + m**3 - 2*m**3 = 0.
-1
Suppose 6*u = 5*p + 3*u - 36, 3*u = -p. Let m be (p - 0)*(-8)/(-12). Suppose -2 - 4*w + 2*w**2 + m*w = 0. Calculate w.
-1, 1
Suppose 2*y - 5 = -1. Factor 0*z - y + 0*z + z**3 - 3*z.
(z - 2)*(z + 1)**2
Let x be 3 + 0 - 6 - (-47)/11. Let -x*o**4 + 4/11*o + 0 + 32/11*o**3 - 2*o**2 = 0. What is o?
0, 2/7, 1
Suppose -6*y**2 - 50/3 - 20*y = 0. What is y?
-5/3
Let z be 12/22*(-84)/(-252). Factor 2/11*q**3 + 0 - z*q**4 - 2/11*q + 2/11*q**2.
-2*q*(q - 1)**2*(q + 1)/11
Let p(g) = g**2 + 3*g + 3. Let f be p(-2). Let b(h) = h**3 - h**2 + h + 3. Let d be b(0). Let d - f - 2*n - 2*n**2 + 2 = 0. What is n?
-2, 1
Let y(h) be the first derivative of -h**6/2 - 39*h**5/20 - 45*h**4/16 - 7*h**3/4 - 3*h**2/8 - 10. Solve y(p) = 0 for p.
-1, -1/4, 0
Let d = -1959/7 + 280. Let -1/7*j**3 + 1/7*j + 1/7 - d*j**2 = 0. What is j?
-1, 1
Let i = 24 - 70/3. Let v = 35/3 + -34/3. Find o such that 2/3*o - 1/3 - i*o**3 + v*o**2 = 0.
-1, 1/2, 1
Factor -1/2*r**3 + 0 - 3/2*r**2 - r.
-r*(r + 1)*(r + 2)/2
Let v(q) be the first derivative of 0*q**2 + 2/55*q**5 + 2 - 4/33*q**3 + 0*q**4 + 2/11*q. Determine k so that v(k) = 0.
-1, 1
Let v = -23 - -25. Suppose 2*n + 3*h - 9 = 7*n, -n = h - 3. Suppose 0 + n*u - 2/7*u**v + 2/7*u**3 = 0. Calculate u.
0, 1
Suppose -2*p - 65 = -4*h - h, p - 5 = 0. Suppose 0 + h = 3*u. Find j, given that -3*j - 18*j**3 + 11*j**4 + 2*j**u - 2*j**4 + 12*j**2 + 3*j**4 - 5*j**5 = 0.
0, 1
Let r be ((-2)/3)/((-1)/3). Factor r - m**2 - 2*m**2 - 1 + m + m**2.
-(m - 1)*(2*m + 1)
Let i(k) = -k**4 - k**3 + k**2 - k - 1. Let j(l) = 4*l**5 - 3*l**4 - 5*l**3 + 5*l**2 - 5*l - 5. Let g(q) = -5*i(q) + j(q). Solve g(x) = 0 for x.
-1/2, 0
Suppose -5*p = -5*z + 15, -3*p = 4*z - 0*z - 5. Factor -1/3*d**5 + 0*d**z + 0 + 0*d + 2/3*d**4 - 1/3*d**3.
-d**3*(d - 1)**2/3
Let n(t) be the third derivative of 4*t**2 + 0 + 1/8*t**4 + 0*t**3 - 1/20*t**5 + 0*t. Factor n(s).
-3*s*(s - 1)
Let a(f) = -f**2 - 6*f - 11. Let i be a(-5). Let b = i - -27/4. Solve 1/2*p**4 - 1/4*p**2 - 1/4 + 3/4*p**3 - b*p = 0.
-1, -1/2, 1
Let z(o) be the third derivative of o**8/420 + 8*o**7/525 + 2*o**6/75 + 47*o**2. Solve z(w) = 0.
-2, 0
Let q(j) be the second derivative of j**4/9 + 8*j**3/9 + 8*j**2/3 + 2*j. Factor q(s).
4*(s + 2)**2/3
Let l(f) be the first derivative of 1/4*f**2 - 1/8*f**4 - 1 + 1/6*f**3 - 1/2*f. Factor l(o).
-(o - 1)**2*(o + 1)/2
Determine l so that -4*l + 0 - 4 + 5*l**2 - 2*l**2 + 0*l = 0.
-2/3, 2
Let n(b) be the second derivative of -2/5*b**3 + 5*b + 0 + 1/4*b**4 + 3/10*b**2 - 3/50*b**5. Determine o so that n(o) = 0.
1/2, 1
Let v(i) be the second derivative of i**7/14 - i**6/5 + i**4/2 - i**3/2 + 7*i. Factor v(j).
3*j*(j - 1)**3*(j + 1)
Let w(q) = q**5 + q**3 + 4*q**2 - 2*q + 2. Let l(y) = 3*y**5 + y**3 + 9*y**2 - 5*y + 5. Let h(m) = -4*l(m) + 10*w(m). Let h(f) = 0. What is f?
-1, 0, 2
Let d(m) be the first derivative of -m**7/2520 + m**6/1080 + m**5/180 - 2*m**3/3 - 3. Let c(s) be the third derivative of d(s). Factor c(v).
-v*(v - 2)*(v + 1)/3
Suppose -2*b - 11 = 5*j, -j = 3*b - 19 + 3. Let l = b + -7. Suppose -2/3*g + l*g**2 + 2/3*g**3 + 0 = 0. What is g?
-1, 0, 1
Let x(s) be the second derivative of 0 - 3/2*s**2 - 2*s + 1/4*s**4 + 0*s**3. Factor x(p).
3*(p - 1)*(p + 1)
Let l(x) = x**3 - 2*x**2 - 2*x - 1. Let g be l(3). Find z such that -7 + 21*z - 4*z**3 + 9*z**3 + z**3 + 1 - 21*z**g = 0.
1/2, 1, 2
Factor 4*d**3 + d**3 + 11918*d**2 - 12003*d**2.
5*d**2*(d - 17)
Let a = -116/3 + 39. Factor -2/3*f + 0*f**2 - a*f**4 + 1/3 + 2/3*f**3.
-(f - 1)**3*(f + 1)/3
Let o(j) be the first derivative of 3*j**4/4 - 3*j**2/2 - 3. Find r such that o(r) = 0.
-1, 0, 1
Let b be (2/20)/(84/(-1230)). Let y = 12/7 + b. Factor 0*x + y*x**2 + 0.
x**2/4
Let b(d) be the first derivative of -d**3/5 + 3*d**2/5 - 3*d/5 + 5. Factor b(g).
-3*(g - 1)**2/5
Let o = 251/3 + -83. Factor -2/9 - 4/9*a**2 + o*a - 2/9*a**5 + 2/3*a**4 - 4/9*a**3.
-2*(a - 1)**4*(a + 1)/9
Let l(g) = 22*g**3 - 7*g**2 - 19*g + 4. Let c(d) = -45*d**3 + 15*d**2 + 37*d - 7. Let p(z) = 6*c(z) + 11*l(z). Factor p(x).
-(x - 1)*(4*x + 1)*(7*x + 2)
Let i(f) be the first derivative of f**6/1080 - f**5/60 + f**4/8 - f**3/3 + 2. Let l(a) be the third derivative of i(a). Factor l(g).
(g - 3)**2/3
Let y(m) be the third derivative of 5*m**8/504 - 5*m**7/126 + m**6/36 + 11*m**2. Factor y(q).
5*q**3*(q - 2)*(2*q - 1)/3
Let j(f) = f**2 + 5*f + 3. Let d be j(-5). Factor y + 29*y**2 + y**2 + 1 + 17*y - 50*y**d + 1.
-2*(y - 1)*(5*y + 1)**2
Let p(r) be the second derivative of -7*r**7/6 - 707*r**6/15 - 2698*r**5/5 - 14996*r**4/21 - 1192*r**3/3 - 112*r**2 + 2*r - 26. Factor p(i).
-(i + 14)**2*(7*i + 2)**3/7
Let w(s) be the first derivative of -21*s**4/4 + 19*s**3/3 + 22*s**2 + 4*s - 30. Factor w(x).
-(x - 2)*(x + 1)*(21*x + 2)
Let a be (-4)/(-26) - 6/39. Suppose a + 40/7*c**2 + 46/7*c**3 + 2*c**4 + 8/7*c = 0. What is c?
-2, -1, -2/7, 0
Let l(a) be the first derivative of 5*a**4/4 - 20*a**3/3 + 25*a**2/2 - 10*a + 11. Find z such that l(z) = 0.
1, 2
Let t be 1 + 15/(-5) + (-8)/(-2). Factor t*y**2 - 16/5*y - 2/5*y**3 + 8/5.
-2*(y - 2)**2*(y - 1)/5
Let b be 2 + -5 + (-22)/(-6). Find i, given that -10/3*i**5 - 5/3*i**3 + 7*i**4 + b - 11/3*i**2 + i = 0.
-1/2, -2/5, 1
Let a(j) be the second derivative of 7*j**5/90 + 2*j**4/9 + j**3/9 - 2*j**2/9 + 2*j. Factor a(w).
2*(w + 1)**2*(7*w - 2)/9
Let o = 2 + 2. Let m(g) be the first derivative of -20/3*g**3 - 5*g**2 - 2*g - 1/3*g**6 - 2*g**5 - 5*g**o + 1. Suppose m(t) = 0. What is t?
-1
Let w = -86/33 + 36/11. Determine d, given that -4/9*d + 0 - w*d**3 - 10/9*d**2 = 0.
-1, -2/3, 0
Let l(z) be the third derivative of z**7/42 - 5*z**6/24 + 3*z**5/4 - 35*z**4/24 + 5*z**3/3 + z**2. Factor l(y).
5*(y - 2)*(y - 1)**3
Let s(m) be the third derivative of -m**7/630 - m**6/45 - 2*m**5/15 + m**4/8 - 5*m**2. Let q(k) be the second derivative of s(k). Factor q(z).
-4*(z + 2)**2
Suppose -5/2*d**4 - 1/2*d**2 + 17/2*d - 17/2*d**3 + 3 = 0. Calculate d.
-3, -1, -2/5, 1
Factor 2/11*w**3 + 2/11*w + 0 + 4/11*w**2.
2*w*(w + 1)**2/11
Suppose 0 = -27*b + 22*b. Factor 1/2*a**2 + 0*a + b.
a**2/2
Factor 0 - 8/5*v + 8/5*v**2 - 2/5*v**3.
-2*v*(v - 2)**2/5
Let n(t) be the second derivative of t**7/5040 + t**6/360 + 5*t**4/6 - 4*t. Let o(i) be the third derivative of n(i). Solve o(a) = 0.
-4, 0
Let r = -13/6 - -7/3. Suppose -1/6*x**2 + r - 1/6*x + 1/6*x**3 = 0. What is x?
-1, 1
Let y(u) = 4*u**2 + 3*u - 7. Let b(i) = 5*i**2 + 3*i - 8. Let h(j) = -5*b(j) + 6*y(j). Factor h(m).
-(m - 2)*(m - 1)
Let s = 2/1385 + 11066/9695. Solve -8/7 - s*g - 2/7*g**2 = 0.
-2
Let i(s) be the third derivative of -s**7/126 - s**6/120 + s**5/90 + 2*s**2 + 8*s. Factor i(p).
-p**2*(p + 1)*(5*p - 2)/3
Suppose -2*l + 5*l - 33 = 0. Let n(c) = -c + 14. Let k be n(l). Factor 6/13*b**2 - 4/13*b + 0*b**k - 2/13*b**4 + 0.
-2*b*(b - 1)**2*(b + 2)/13
Let m(t) be the first derivative of -t**6/75 + t**4/15 - t**2/5 - 3*t + 1. Let y(f) be the first derivative of m(f). Determine w, given that y(w) = 0.
-1, 1
Let q(u) be the second derivative of -u**7/4200 + u**6/1200 - u**4/12 - 4*u. Let k(t) be the third derivative of q(t). Factor k(w).
-3*w*(w - 1)/5
Let j(c) be the third derivative of 5*c**8/336 + 5*c**7/42 + 5*c**6/12 + 5*c**5/6 + 25*c**4/24 + 5*c