 - 25*k**2. Solve c(h) = 0 for h.
1
Let c(j) be the first derivative of 1/9*j**3 + 0*j + 1/6*j**2 - 2. Determine y, given that c(y) = 0.
-1, 0
Let m(h) = -3*h**2 - 27*h - 15. Suppose 4*l = -l + 10. Let x(c) = c**2 + 7*c + 4. Let n(y) = l*m(y) + 9*x(y). Factor n(w).
3*(w + 1)*(w + 2)
Factor -2/3*x**2 + 4/3*x + 0.
-2*x*(x - 2)/3
Let d(i) = -3*i**2 - 9*i - 4. Let b be -2 - (0/1)/1. Let w(r) = 21*r**2 + 63*r + 27. Let m(y) = b*w(y) - 15*d(y). Factor m(o).
3*(o + 1)*(o + 2)
Let t(q) = -3*q**4 - 18*q**3 + 8*q**2 + 10*q - 1. Let d(x) = x**3 + x - 1. Let o(s) = 4*d(s) + t(s). Suppose o(n) = 0. Calculate n.
-5, -1, 1/3, 1
Let k(l) be the first derivative of -l**6/30 - l**5/10 - l**4/12 + 3*l**2/2 - 3. Let d(n) be the second derivative of k(n). Factor d(v).
-2*v*(v + 1)*(2*v + 1)
Let g(k) = k**3 - 5*k**2 + 10*k - 12. Let i be g(3). Factor 4/7*w - 2*w**2 + i.
-2*w*(7*w - 2)/7
Suppose 2 = 2*s + 3*w - 4*w, 4*w - 8 = 0. Let m(q) be the first derivative of 1/2*q**s - 1/6*q**3 - 1/2*q - 3. Find i such that m(i) = 0.
1
Factor -3*q**5 - 3*q + 1 - 1 + 12*q**3 - 6*q**3.
-3*q*(q - 1)**2*(q + 1)**2
Let q be -2 - (-3 + 3/(2 - -1)). Factor 0 + 4/7*n**3 - 2/7*n**4 - 2/7*n**2 + q*n.
-2*n**2*(n - 1)**2/7
Let o be ((-9)/(-3) - 5) + 5. Let h be (o*1)/(33/22). Determine i, given that 2/3*i**h + 0*i + 0 = 0.
0
Let f = 80/7 + -1012/91. Factor 0*v - 2/13*v**2 + 0 - f*v**3 - 2/13*v**4.
-2*v**2*(v + 1)**2/13
Let m(u) be the third derivative of u**7/12600 - u**6/3600 - u**5/300 + u**4/12 - 2*u**2. Let x(p) be the second derivative of m(p). Find w such that x(w) = 0.
-1, 2
Let g(f) be the second derivative of -f**7/210 + f**5/30 - f**3/6 - f**2 + 3*f. Let v(m) be the first derivative of g(m). Factor v(q).
-(q - 1)**2*(q + 1)**2
Factor 4*j + 3*j**4 - j - 9*j**3 + 8*j**5 - 5*j**5 + 3*j - 3*j**2.
3*j*(j - 1)**2*(j + 1)*(j + 2)
Let f be (-24)/(-7) - (-41)/574. Factor -f*o**3 + 0 - 3/2*o**4 - 5/2*o**2 - 1/2*o.
-o*(o + 1)**2*(3*o + 1)/2
Factor x**3 + 0*x + 1/4*x**4 - 5/4*x**2 + 0.
x**2*(x - 1)*(x + 5)/4
Let w(b) be the second derivative of b**4/4 + b**3/2 + 14*b. Factor w(s).
3*s*(s + 1)
Let b(o) be the second derivative of -o**6/120 - o**5/120 - o**3/3 - 2*o. Let l(p) be the second derivative of b(p). Suppose l(g) = 0. Calculate g.
-1/3, 0
Let t(n) = -8*n**4 + 4*n**3 + 30*n**2 - 16*n + 2. Let z(b) = -8*b**4 + 4*b**3 + 29*b**2 - 16*b + 3. Let c(v) = -3*t(v) + 2*z(v). Factor c(w).
4*w*(w - 2)*(w + 2)*(2*w - 1)
Factor 4*w - 5*w**4 - 5*w**3 + w + 0*w + 15*w**2 - 10.
-5*(w - 1)**2*(w + 1)*(w + 2)
Let t be 2/4 - (-45)/10. Let 3*k**2 - 2*k - k - k**4 + t*k = 0. Calculate k.
-1, 0, 2
Let a(b) = b**2 - b - 12. Let z be a(-3). Let v(y) be the third derivative of -1/18*y**4 + 0*y + 2/9*y**3 - 3*y**2 + z + 1/180*y**5. Factor v(h).
(h - 2)**2/3
Let l(q) be the first derivative of 4*q**3/3 - 6*q**2 - 5. Determine b so that l(b) = 0.
0, 3
Let t be (47/(-987))/((-2)/48*1). Let 8/7*m**4 + t*m**2 + 0 - 2/7*m**5 - 12/7*m**3 - 2/7*m = 0. Calculate m.
0, 1
Let a(g) be the third derivative of -g**8/7560 - g**7/3780 + g**6/1620 + g**5/540 + 2*g**3/3 + 4*g**2. Let s(t) be the first derivative of a(t). Factor s(h).
-2*h*(h - 1)*(h + 1)**2/9
Let w = -3742/13 + 288. Suppose 3*j - 4*j + 2 = 0. Solve -2/13*l**4 + 0 + 0*l**3 + 0*l + 0*l**j - w*l**5 = 0 for l.
-1, 0
Suppose 0*o = -o + p + 16, -o - 5*p + 10 = 0. Determine l, given that -75/2*l**2 + 125/4*l**3 - 2 + o*l = 0.
2/5
Let g(y) be the second derivative of -y**7/210 - y**6/50 - y**5/50 + y**4/30 + y**3/10 + y**2/10 - 4*y. Factor g(v).
-(v - 1)*(v + 1)**4/5
Let p be (-9)/(-6)*4/3. Determine k so that -2*k**p - 2*k + 4*k + 0*k**2 = 0.
0, 1
Let p(k) = -5*k**3 - 7*k**2 + 3*k + 3. Let t(h) = -11*h**3 - 15*h**2 + 7*h + 7. Let b(s) = 7*p(s) - 3*t(s). Determine l, given that b(l) = 0.
-2, 0
Let a(i) be the second derivative of -1/42*i**4 + 0*i**2 + 0 - 1/21*i**3 + 3*i. Factor a(h).
-2*h*(h + 1)/7
Let m(i) = -3*i**3 - 7*i**2 - 7*i + 1. Let a(y) = 6*y**3 + 14*y**2 + 15*y - 3. Suppose -12 = 5*h + 13. Let j(o) = h*m(o) - 2*a(o). Factor j(x).
(x + 1)**2*(3*x + 1)
Suppose -49 = -3*y - 2*z, 4*y - z - 52 = 3*z. Suppose y = -j + 6*j. Factor 4*p**5 - 6*p**5 - 2*p - 3*p**3 + 7*p**j.
-2*p*(p - 1)**2*(p + 1)**2
Suppose -2*t - 2 = 6*a - 8*a, -2*t - a = -7. Factor 4/9 - 8/9*n**t - 14/9*n.
-2*(n + 2)*(4*n - 1)/9
Factor 0 + 2/5*n**3 - 2/5*n**2 + 0*n.
2*n**2*(n - 1)/5
Suppose -21 + 1 = -4*x. Let f = 24 - 22. Factor 2*n**x + n - 3*n + f*n**3 + 2*n**3 - 4*n**5.
-2*n*(n - 1)**2*(n + 1)**2
Let k be 1*(-1)/(-2)*0. Let q(m) be the first derivative of -2 - 1/5*m**5 + 1/2*m**4 + 0*m**2 + k*m - 1/3*m**3. Factor q(h).
-h**2*(h - 1)**2
Suppose -5*g + 2 + 4 = 4*n, n - 9 = -5*g. Suppose -13 = -5*c - 3*q, -c + 6 = -q - 3. Solve -c*m**g + 4*m + 5*m**3 + m**2 - 4*m**3 = 0 for m.
0, 2
Let u(l) = -l**2 + l - 14. Let j be u(0). Let z(d) = -5*d**3 + d**2 - 5*d + 3. Let t(f) = 11*f**3 - f**2 + 11*f - 7. Let v(p) = j*z(p) - 6*t(p). Factor v(a).
4*a*(a - 1)**2
Suppose 0*k = -k + 3. Factor 7*n - n - 2*n + 7*n**2 - n**2 + 2*n**k.
2*n*(n + 1)*(n + 2)
Let u(c) be the second derivative of c**7/140 + c**6/80 - c**2/2 - 6*c. Let y(f) be the first derivative of u(f). Factor y(x).
3*x**3*(x + 1)/2
Let h(y) be the first derivative of y**6/30 - 3*y**4/10 + 8*y**3/15 - 3*y**2/10 + 2. Factor h(z).
z*(z - 1)**3*(z + 3)/5
Let f(h) = -h**4 - h**3 + h. Let d(l) = -3*l**4 - 6*l**3 - 5*l**2. Let t = -3 + 0. Let m(j) = t*d(j) + 6*f(j). Determine y so that m(y) = 0.
-2, -1, 0
Let v(z) be the second derivative of 1/3*z**3 + 1/3*z**4 - z**2 + 1/21*z**7 - 1/15*z**6 - 1/5*z**5 + 0 + 2*z. Solve v(c) = 0.
-1, 1
Let z be ((-2)/(-5))/(2/10). Let s be (3*1)/(-13 + 9) - -1. Factor 1/4*a**z - s*a - 1/2.
(a - 2)*(a + 1)/4
Let m(b) be the third derivative of -b**8/33600 - b**7/4200 - b**6/1800 + b**4/6 - b**2. Let i(o) be the second derivative of m(o). Solve i(q) = 0.
-2, -1, 0
Factor -41*a**2 - 3*a**3 + 24 + 0*a - 6*a + 26*a**2.
-3*(a - 1)*(a + 2)*(a + 4)
Let p(k) = 5*k**5 + 5*k**4 - 5*k**3 + k**2 - 3*k + 3. Let c(a) = 6*a**5 + 6*a**4 - 6*a**3 + 2*a**2 - 4*a + 4. Let b(t) = 3*c(t) - 4*p(t). Factor b(f).
-2*f**2*(f - 1)*(f + 1)**2
Let f(d) be the second derivative of -d**4/42 + d**3/21 - 42*d. Determine y so that f(y) = 0.
0, 1
Let i be 5 - (3 + 3/(-1)). Let -l**4 + 2*l**4 + 0*l**3 - i*l + 3*l - 1 + 2*l**3 = 0. What is l?
-1, 1
Suppose -4*h = -0*h - 2*l - 14, -7 = -5*h - l. Factor -2/5*m**h + 0 - 2/5*m.
-2*m*(m + 1)/5
Let g(x) be the third derivative of -3*x**5/160 - 5*x**4/64 - x**3/8 + 21*x**2 - 2. Factor g(u).
-3*(u + 1)*(3*u + 2)/8
Let o(w) be the third derivative of -w**7/5040 - w**6/480 - w**5/120 + 7*w**4/24 - 7*w**2. Let v(u) be the second derivative of o(u). Solve v(c) = 0 for c.
-2, -1
Let j(s) be the second derivative of -s + 0 - 1/20*s**5 - 1/2*s**3 - 1/2*s**2 - 1/4*s**4. Factor j(k).
-(k + 1)**3
Let 12 - 3/2*s**5 - 42*s + 57*s**2 - 75/2*s**3 + 12*s**4 = 0. Calculate s.
1, 2
Suppose -2*h = b - 5*h - 3, 0 = 3*h. Let i(c) be the third derivative of 1/210*c**5 - 1/42*c**4 - c**2 + 1/21*c**b + 0 + 0*c. Determine r, given that i(r) = 0.
1
Let o(q) be the first derivative of -4*q**5/5 + q**4 + 4*q**3 - 2*q**2 - 8*q - 20. Factor o(p).
-4*(p - 2)*(p - 1)*(p + 1)**2
Factor -3/2*g**2 + 0 - 3/8*g.
-3*g*(4*g + 1)/8
Suppose 2*o - 3*o = -3. Factor 0*a**3 - 2*a**2 + 3*a**2 + 4*a + a**2 - 2*a**o.
-2*a*(a - 2)*(a + 1)
Let x be (-7)/(-245)*14 - (-1)/5. What is k in -1/5*k**3 + 2/5*k + 0 + 3/5*k**2 - x*k**4 - 1/5*k**5 = 0?
-2, -1, 0, 1
Let o = -265 + 2917/11. Suppose 6/11*d**3 - 6/11*d**4 + 0*d - o*d**2 + 0 + 2/11*d**5 = 0. Calculate d.
0, 1
Suppose 2*o - 4*o = -14. Let m = 10 - o. Factor -2*v + 4*v**2 - 7*v**3 + 0*v**3 + 10*v**m + 8*v**4 + 11*v**3.
2*v*(v + 1)**2*(4*v - 1)
Let n(w) = -w**2 + 7*w + 10. Let p be n(8). Let z(u) be the first derivative of -4*u**p - 1 - 5/3*u**3 - 1/4*u**4 - 4*u. Determine d, given that z(d) = 0.
-2, -1
Let h be (2 + -1)*884/12. Let p = -73 + h. Factor 0 + 0*d + 4/3*d**3 - 2/3*d**2 - p*d**4.
-2*d**2*(d - 1)**2/3
Suppose -k = -0*k + 4. Let s = k - -6. Factor -q + 0*q**s - 2 + 4 - q**2.
-(q - 1)*(q + 2)
Let i = -75 - -78. Factor f**2 + 0*f - 1/2*f**i + 0.
-f**2*(f - 2)/2
Suppose 6 - 15 = -3*r. Factor -2/9*v**r + 4/9*v**2 + 0*v + 0.
-2*v**2*(v - 2)/9
Let f(l) = -l**3 - l**2 + 2*l + 2. Let t be f(-2). Let m(a) be th