 be the second derivative of -1/140*h**5 - 1/21*h**4 - 5/42*h**3 + 4*h + 0 - 1/7*h**2. Factor r(d).
-(d + 1)**2*(d + 2)/7
Let t(z) be the first derivative of -z**6/9 - z**5/15 + 7*z**4/12 + 7*z**3/9 - z**2/6 - 2*z/3 - 13. Let t(m) = 0. What is m?
-1, 1/2, 2
Let w(i) be the second derivative of i**6/165 - 3*i**5/110 - 7*i**4/66 + 5*i**3/11 + 18*i**2/11 - 12*i. Suppose w(a) = 0. Calculate a.
-2, -1, 3
Let g(f) = 6*f + 2. Let u be g(-1). Let w be (-2)/(-6) + u/12. Suppose 0 + w*d - 2/5*d**2 + 6/5*d**3 = 0. Calculate d.
0, 1/3
Let c(b) be the first derivative of -3*b**4/20 + b**3/5 + 3*b**2/5 - 18. Find s, given that c(s) = 0.
-1, 0, 2
Let t(m) be the first derivative of -2*m**5/15 - 7*m**4/2 - 98*m**3/3 - 343*m**2/3 + 8. Factor t(d).
-2*d*(d + 7)**3/3
Let y(c) be the second derivative of c**6/45 + c**5/5 + 13*c**4/18 + 4*c**3/3 + 4*c**2/3 - 21*c. Find i such that y(i) = 0.
-2, -1
Let k(s) be the second derivative of 0*s**3 + 0 + 0*s**4 + 1/300*s**6 - 1/150*s**5 - s - s**2. Let x(m) be the first derivative of k(m). Factor x(b).
2*b**2*(b - 1)/5
Let j(d) be the second derivative of -d**6/75 + d**5/25 + 46*d. Factor j(t).
-2*t**3*(t - 2)/5
Let h(z) be the second derivative of z**8/560 - z**7/140 + z**5/20 - z**4/8 + 5*z**3/6 + 4*z. Let q(x) be the second derivative of h(x). Factor q(l).
3*(l - 1)**3*(l + 1)
Factor 36 + 2*j**3 - 20*j - 36 + 25*j**2 - 7*j**3.
-5*j*(j - 4)*(j - 1)
Let q(j) be the first derivative of j**4 + 4*j**3/3 - 2*j**2 - 4*j + 4. What is c in q(c) = 0?
-1, 1
Suppose 0 = 2*p + p. Suppose 0 + 1/2*g**4 - 1/2*g**2 - 1/2*g**3 + 1/2*g**5 + p*g = 0. What is g?
-1, 0, 1
Suppose 3*s + 4*u - 86 = 0, 4*s - 24 = 4*u + 44. Let z = s - 150/7. Factor -6/7*n**3 + 6/7*n + z - 4/7*n**2.
-2*(n - 1)*(n + 1)*(3*n + 2)/7
Let r(c) = c**2 - c. Let j(s) = s + 8. Let u be j(-9). Let w(b) = -2*b**5 - 6*b**4 - 4*b**3 - 6*b**2 + 6*b. Let z(v) = u*w(v) - 6*r(v). Solve z(o) = 0.
-2, -1, 0
Let h(m) be the first derivative of m**6/39 + 2*m**5/65 - m**4/13 - 3. Factor h(c).
2*c**3*(c - 1)*(c + 2)/13
Suppose 0 = 5*t - 1 - 9. Factor -2/5*x + 2/5*x**t + 0.
2*x*(x - 1)/5
Let u(a) be the third derivative of -a**5/20 + 2*a**3 - 8*a**2. Suppose u(h) = 0. Calculate h.
-2, 2
Factor 6*p**3 - 6*p + 15*p**2 - 21 + 10 - 15*p**4 + 11.
-3*p*(p - 1)*(p + 1)*(5*p - 2)
Factor -8*c + 6*c**2 + 7*c**2 - 9*c**2.
4*c*(c - 2)
Let l(o) = -30*o**3 + 84*o**2 - 601*o + 1359. Let d(q) = 14*q**3 - 42*q**2 + 300*q - 680. Let t(i) = -13*d(i) - 6*l(i). Factor t(f).
-2*(f - 7)**3
Suppose -6*m + 11 + 7 = 0. Let t(s) be the second derivative of 0*s**2 + 7/195*s**6 + m*s + 0*s**3 - 1/39*s**4 - 1/26*s**5 + 0. Factor t(q).
2*q**2*(q - 1)*(7*q + 2)/13
Let k(y) be the third derivative of -y**6/60 + y**5/10 + y**4/12 - y**3 - 4*y**2. Factor k(f).
-2*(f - 3)*(f - 1)*(f + 1)
Let u = 53 + -50. Let v(f) be the first derivative of 0*f + 2/9*f**u + 2 + 1/3*f**2. Factor v(h).
2*h*(h + 1)/3
Let g be ((-1)/(12/(-1)))/(-6 + 7). Let o(a) be the first derivative of g*a**2 + 1/18*a**3 - 2 - 1/3*a. Let o(u) = 0. Calculate u.
-2, 1
Let f(k) = k**3 - k**2 + 3. Let v be f(0). What is u in 8*u**5 - 8 + 56*u - 74*u**4 + 146*u**v - 87*u**2 - 47*u**2 + 6*u**5 = 0?
2/7, 1, 2
Let q = 5 - 7. Let r be (16/(q + -2))/(-6). Solve -4/9*o**5 + 0*o + 2/9*o**2 - r*o**4 + 0*o**3 + 0 = 0.
-1, 0, 1/2
Let v(h) be the second derivative of -h**6/6 - 2*h**5 - 35*h**4/12 - 21*h. Factor v(z).
-5*z**2*(z + 1)*(z + 7)
Let j be (-2)/(3*(-8)/6). Let m(w) be the first derivative of -3 + w**2 + 0*w + 4/3*w**3 + j*w**4. Solve m(y) = 0.
-1, 0
Let j(o) be the second derivative of 3/20*o**5 + 0*o**4 + 5*o + 0 + 0*o**2 - 1/2*o**3. Let j(g) = 0. Calculate g.
-1, 0, 1
Let y(g) be the third derivative of -g**8/112 + 13*g**7/70 - 29*g**6/20 + 53*g**5/10 - 85*g**4/8 + 25*g**3/2 - 26*g**2. Determine s so that y(s) = 0.
1, 5
Let t(r) be the first derivative of -r**3 - 3*r**2 - 5. Factor t(k).
-3*k*(k + 2)
Let v(w) be the first derivative of 7*w**3/3 - 7*w**2/2 - 6*w + 3. Let h(l) = l**2 - l - 1. Let y(x) = -6*h(x) + v(x). Let y(o) = 0. Calculate o.
0, 1
Suppose -6*c + 154 = 136. Factor 0 - 18/11*f**2 + 4/11*f + 14/11*f**c.
2*f*(f - 1)*(7*f - 2)/11
Let i(q) be the second derivative of q**6/150 - q**4/30 + q**2/10 + 5*q. Let i(v) = 0. What is v?
-1, 1
Let u(x) be the first derivative of -2*x**5/5 - 3*x**4/2 + 4*x**2 - 7. Find w such that u(w) = 0.
-2, 0, 1
Let w(f) be the third derivative of -f**5/75 - f**4/10 - 7*f**2. Factor w(y).
-4*y*(y + 3)/5
Let d(b) be the first derivative of -21*b**4/4 - 5*b**3 + 3*b**2 + 19. Factor d(n).
-3*n*(n + 1)*(7*n - 2)
Factor -3*a**2 - 9*a + 0*a + 3*a + 5*a.
-a*(3*a + 1)
Let z(o) be the second derivative of o**6/75 - o**5/50 - 3*o**4/10 - 11*o**3/15 - 4*o**2/5 + 10*o. Let z(b) = 0. Calculate b.
-1, 4
Let z be (3 - -1) + (-630)/168. Factor z*n - 1/4*n**4 - 3/4*n**2 + 3/4*n**3 + 0.
-n*(n - 1)**3/4
Let r(l) be the first derivative of -1/2*l**2 - 1/2*l - 1/6*l**3 + 2. Factor r(v).
-(v + 1)**2/2
Suppose 2*r - 6 = -0*r. Suppose -13*s = -4*s. Find m, given that -m**2 + 1/2*m + 1/2*m**r + s = 0.
0, 1
Let c(d) be the first derivative of -d**4/42 + d**2/7 + 3*d + 5. Let q(l) be the first derivative of c(l). Factor q(i).
-2*(i - 1)*(i + 1)/7
Let j be ((-34)/(-85))/(2/10). Suppose -5*w + 3*b = 9, b + 3 = -2*w + 6. Factor 2/9*m**3 - 2/9*m + w + 0*m**j.
2*m*(m - 1)*(m + 1)/9
Let l(a) = a**2 - 3*a + 3. Let d be l(3). Let c be 1045/50 - d/(-2). Suppose 122*w**2 + 1974/5*w**4 + c*w + 1598/5*w**3 + 8/5 + 882/5*w**5 = 0. Calculate w.
-1, -1/3, -2/7
Let k(f) be the second derivative of -4*f**6/15 - f**5/5 + 13*f. Determine z, given that k(z) = 0.
-1/2, 0
Let f(d) = -d + 7. Let r be f(-10). Let l(p) = -5*p**2 + 7*p + 17. Let o(w) = -2*w**2 + 2*w + 6. Let t(h) = r*o(h) - 6*l(h). Factor t(y).
-4*y*(y + 2)
Factor 0 + 1/5*l**2 + 4/5*l.
l*(l + 4)/5
Let h(i) be the third derivative of i**8/588 - 2*i**7/147 + 4*i**6/105 - 4*i**5/105 + 11*i**2. Solve h(a) = 0.
0, 1, 2
Solve 7 - 8 - 50*v + 3 + 13 + 15*v**2 = 0.
1/3, 3
Let m(b) be the second derivative of b**4/30 - 2*b**3/15 + 12*b. Factor m(u).
2*u*(u - 2)/5
Let k(d) = 4*d - 24. Let c be k(7). Let p(v) be the second derivative of 0 + 1/30*v**c + 3*v + 2/5*v**2 - 1/5*v**3. Suppose p(b) = 0. Calculate b.
1, 2
Let h(r) be the first derivative of -2*r**5/55 + 4*r**3/33 - 2*r/11 - 4. Factor h(b).
-2*(b - 1)**2*(b + 1)**2/11
Factor 3/5*u - 2/5 - 1/5*u**2.
-(u - 2)*(u - 1)/5
Let t(c) be the first derivative of 1 + 0*c**5 - 1/5*c**4 + 1/15*c**6 + 1/5*c**2 + 0*c + 0*c**3. Factor t(w).
2*w*(w - 1)**2*(w + 1)**2/5
Let z(d) = -17*d**2 - d**3 + 11 + 3 + 19*d + 7. Let k be z(-18). Factor 2/3*y**2 + 4/3*y - 2/3*y**k + 0.
-2*y*(y - 2)*(y + 1)/3
Suppose -2*x + 22 = 2*i, -2*x - 32 = -4*i - 12. Let j = i + -4. Factor -4*k**j + k**2 + 5 + 4*k - 2 - 4.
-(k - 1)*(k + 1)*(4*k - 1)
Let x(r) be the first derivative of -3*r**3/4 + 15*r**2/4 - 25*r/4 - 15. Factor x(l).
-(3*l - 5)**2/4
Let h be 76/20 + 2/10. Let r(f) be the first derivative of -1/8*f**4 - 2 - 3*f**2 + h*f + f**3. Solve r(m) = 0.
2
Let -24 - 19*p + 17*p**5 + 3*p**3 - 12*p**4 + 30*p**2 + 7*p - 14*p**5 = 0. Calculate p.
-1, 2
Let v be (48/352)/((-3)/(-4)). Find r such that 4/11*r**3 + v*r**4 + 0 + 0*r + 2/11*r**2 = 0.
-1, 0
Let c = -335/2 - -170. Let 1 - c*f**3 + 9/2*f**2 + 1/2*f**4 - 7/2*f = 0. Calculate f.
1, 2
Let p(w) be the third derivative of 0*w**5 + 0*w + 0*w**3 + 0 + 0*w**6 + 1/630*w**7 + 0*w**4 + 3*w**2. Suppose p(i) = 0. What is i?
0
Suppose -2 + 23 = 3*s + 5*j, -4*s + 5 = -j. Let l = -22 - -67/3. Solve 0*f - 1/3*f**s + l*f**3 + 0 = 0.
0, 1
Let c(j) be the third derivative of j**10/50400 - j**8/3360 + j**6/240 + j**5/15 + 6*j**2. Let k(b) be the third derivative of c(b). Factor k(u).
3*(u - 1)**2*(u + 1)**2
Let n(o) = o**3 + o**2 + o - 1. Let k(p) = 4*p**3 + 7*p**2 + 7*p - 6. Let y(f) = k(f) - 6*n(f). Factor y(m).
-m*(m - 1)*(2*m + 1)
Let o(g) be the first derivative of 2*g**7/525 - g**6/150 + g**5/300 - 3*g**2/2 + 2. Let r(b) be the second derivative of o(b). Factor r(h).
h**2*(2*h - 1)**2/5
Let r(m) = 5*m**4 + 11*m**2 - 11. Let i(t) = -t**4 - 2*t**2 + 2. Let j(p) = 11*i(p) + 2*r(p). Determine s so that j(s) = 0.
0
Let p(u) be the second derivative of u**5/200 - u**3/60 + 9*u. Factor p(x).
x*(x - 1)*(x + 1)/10
Let i be 5/(-70)*-4 + (-4)/14. Solve 0 + 2/3*l**