lve m(z) = 0.
-1, 1
Let m be (-9 + 3)*(-2)/6. Let g(f) be the first derivative of -2/5*f**5 + 1/2*f**4 + 2 + 2/3*f**3 + 0*f**m + 0*f - 1/3*f**6. Determine v, given that g(v) = 0.
-1, 0, 1
Let j(c) be the first derivative of c**7/21 - c**6/5 + c**5/5 + c**4/3 - c**3 + c**2 - c + 2. Let g(z) be the first derivative of j(z). Factor g(x).
2*(x - 1)**4*(x + 1)
Let g(o) = -o**3 - 5*o**2 + 7*o + 7. Let w be g(-6). Let p be (2 - w)/(2/4). Factor -2/7*b**5 - 20/7*b**3 + 10/7*b**4 - 10/7*b + 2/7 + 20/7*b**p.
-2*(b - 1)**5/7
Suppose 5*b - 2 = 4*b. Factor 14*v**5 - 5*v**b - 5*v**5 - 3*v**3 - 12*v**4 + 13*v**2 - 2*v**2.
3*v**2*(v - 1)**2*(3*v + 2)
Determine o so that -14/5*o**2 + 22/5*o - 2 + 2/5*o**3 = 0.
1, 5
Let l(u) be the first derivative of 0*u**3 + 1/10*u**5 - 2*u - 1/15*u**6 - 2 + 0*u**2 + 0*u**4. Let m(v) be the first derivative of l(v). Factor m(c).
-2*c**3*(c - 1)
Let q(x) be the third derivative of -x**7/42 - x**6/6 + x**5/12 + 5*x**4/6 - 2*x**2 - 13. Solve q(s) = 0.
-4, -1, 0, 1
Let y = -5 + 7. Let r(g) = -1 - 4*g**2 + 0 - 5*g + y. Let x(v) = -v. Let t(z) = r(z) - 2*x(z). Factor t(b).
-(b + 1)*(4*b - 1)
Let y(a) be the second derivative of a**4/60 - a**3/5 + 9*a**2/10 - 8*a. Factor y(t).
(t - 3)**2/5
Let j(t) be the second derivative of -3*t + 0 + 1/8*t**2 + 1/8*t**3 + 1/80*t**5 + 1/16*t**4. What is y in j(y) = 0?
-1
Let f(q) = -q**3 + 4*q**2 - 2*q - 1. Let y be f(4). Let m(g) = -g**3 - 10*g**2 - 9*g + 6. Let x be m(y). Factor 0 - 3/2*b**5 + 0*b + 0*b**3 - x*b**2 + 9/2*b**4.
-3*b**2*(b - 2)**2*(b + 1)/2
Factor -504/5*b - 3/5*b**3 + 15*b**2 + 432/5.
-3*(b - 12)**2*(b - 1)/5
Let t(b) be the second derivative of 2*b**7/21 + 4*b**6/15 + b**5/5 + 7*b. Factor t(a).
4*a**3*(a + 1)**2
Let i(a) = -18*a - 30. Let c(m) = -m**2 + 18*m + 31. Let s(d) = -3*c(d) - 4*i(d). Let s(x) = 0. Calculate x.
-3
Let t(g) be the first derivative of -7/2*g**2 + 7/4*g**4 - 3 - g**5 + g**3 + 2*g. Factor t(v).
-(v - 1)**2*(v + 1)*(5*v - 2)
Let k(x) = 2*x - 12. Let j be k(9). Let r(o) be the first derivative of 0*o**3 + 1/2*o**j + 0*o + 6/5*o**5 + 0*o**2 - 1 + 3/4*o**4. Factor r(a).
3*a**3*(a + 1)**2
Factor -2/3*p**2 - 6 - 4*p.
-2*(p + 3)**2/3
Let m(z) be the third derivative of 1/120*z**6 + 0*z**4 - z**2 + 0*z**3 + 0 - 1/60*z**5 + 0*z. Determine t so that m(t) = 0.
0, 1
Let z(t) = 2*t - 10. Let d be z(11). Let f be 2/(-6) + 28/d. Find j such that 4*j**2 + j**3 - j + 0*j - j**4 + 3*j**2 - 6*j**f = 0.
-1, 0, 1
Let y(x) be the second derivative of x**6/240 - x**5/80 - 14*x. Factor y(u).
u**3*(u - 2)/8
Let b(j) be the second derivative of 2/27*j**4 + 0*j**2 + 1/27*j**3 + 0 + 1/189*j**7 + 4/135*j**6 + 2*j + 1/15*j**5. What is p in b(p) = 0?
-1, 0
Find m, given that -7*m**4 + 8*m**2 + 9*m**4 - 8*m**3 + 17 - 17 = 0.
0, 2
Let j(r) be the second derivative of -3*r**5/80 - 3*r**4/16 + r**3/8 + 9*r**2/8 + 5*r. Solve j(i) = 0 for i.
-3, -1, 1
Let k(f) = -f**2 - 6*f - 3. Let b = -1 - 4. Let g be k(b). Factor -m**g + 2*m**5 - m**2 - 2*m**3 + 2*m**4 + 0*m**2.
2*m**2*(m - 1)*(m + 1)**2
Let f(s) be the third derivative of 2*s**7/525 - s**6/75 + s**5/75 + 7*s**2. Let f(h) = 0. Calculate h.
0, 1
Let k be 6 - 2*(-3 + 2). Let p be k/(-12) + (-66)/(-45). Factor 2/5*z**4 + 0 + 0*z + 2/5*z**2 - p*z**3.
2*z**2*(z - 1)**2/5
Factor 4/3*w - 10/3 - 2/15*w**2.
-2*(w - 5)**2/15
Let p(g) be the second derivative of g**7/8820 + g**4/6 - 4*g. Let s(q) be the third derivative of p(q). Factor s(k).
2*k**2/7
Let n(b) = b**2 - b + 1. Let o be n(2). Let 2*s - 2*s + s**5 + 0*s + s**o + 3*s**2 - 2*s - 3*s**4 = 0. Calculate s.
-1, 0, 1, 2
Let c = 31/13 + -111/52. Factor -1/2*b + 0 + 1/4*b**2 + c*b**3.
b*(b - 1)*(b + 2)/4
Let j(u) = -392*u**4 + 675*u**3 - 422*u**2 + 98*u. Let c(r) = 131*r**4 - 225*r**3 + 141*r**2 - 33*r. Let x(y) = 17*c(y) + 6*j(y). Factor x(k).
-k*(5*k - 3)**3
Let s be (-5)/(-1) + (-1 - -1). Suppose -4*h - f = -6, -4*h + 19 = -3*f + s. Factor -2*x**2 + 2*x + 2*x**2 + h*x**2.
2*x*(x + 1)
Let x be (6/4)/((-6)/(-16)). Suppose x*v = v. Factor 1/2*a**2 + 0 + v*a.
a**2/2
Let k be (-2)/3*231/14. Let u(b) = -7*b**4 + 7*b**3 - b**2 + b - 4. Let l(f) = -20*f**4 + 20*f**3 - 2*f**2 + 2*f - 11. Let s(w) = k*u(w) + 4*l(w). Factor s(j).
-3*j*(j - 1)**2*(j + 1)
Let z(r) be the third derivative of 9*r**7/140 + 3*r**6/20 - r**5/20 - r**4/4 + r**3/4 + 9*r**2. Find k such that z(k) = 0.
-1, 1/3
Let d(u) be the second derivative of u**5/90 - u**4/54 - u**3/27 + u**2/9 + 25*u. Solve d(b) = 0 for b.
-1, 1
Let m(c) = c**3 + 4*c**2 - 5*c + 2. Let q be m(-5). What is i in -1 + 6*i**2 - 3*i**q - 3*i**2 + i**2 = 0?
-1, 1
Let t(j) = 3*j - 46. Let b be t(16). Solve 1/3*l**4 + 0*l + 0*l**b + 0*l**3 + 1/3*l**5 + 0 = 0 for l.
-1, 0
Suppose -3*j = 10 - 28. Factor -j*i**5 + 4*i**3 + 5*i**3 + 10*i**4 - 2*i**2 - 11*i**3.
-2*i**2*(i - 1)**2*(3*i + 1)
Suppose -2 = -t - 0. Factor -y**t - 4*y - y + 4*y.
-y*(y + 1)
Factor o**3 + o**4 + 2*o**5 - 4*o**2 - 5*o**4 - 3*o**3 + 8*o**4.
2*o**2*(o - 1)*(o + 1)*(o + 2)
Let u(f) be the first derivative of 1/3*f**3 - f**2 + f + 2. Factor u(y).
(y - 1)**2
Let y(u) be the second derivative of u**4/54 - 4*u**3/27 + 4*u**2/9 - u. Factor y(b).
2*(b - 2)**2/9
Let m(u) = u**3 - 29*u**2 - 48*u - 32. Let f(t) = -28*t**2 - 48*t - 32. Let k(x) = -5*f(x) + 4*m(x). Suppose k(w) = 0. Calculate w.
-2
Let c = 1 - -3. Suppose 0 = c*g + 4, 2*g = 3*b + 5*g - 3. Solve d**3 - d**4 - 10*d**2 + 8*d**b + 2*d**3 = 0 for d.
0, 1, 2
Find x, given that 2*x + 48 + 12*x - 36 - 2*x**3 = 0.
-2, -1, 3
Let k(z) be the third derivative of -z**6/135 + 47*z**5/270 - 11*z**4/9 - 4*z**3/3 + 17*z**2. Let k(v) = 0. Calculate v.
-1/4, 6
Let j(a) = 5*a**4 - 13*a**3 + 21*a**2 + 13*a. Let z(i) = 2*i**4 - 6*i**3 + 10*i**2 + 6*i. Let k(u) = 6*j(u) - 13*z(u). What is p in k(p) = 0?
-1, 0, 1
Let q(n) be the second derivative of n**7/630 + n**6/180 - n**5/180 - n**4/36 + n**2 - 2*n. Let h(p) be the first derivative of q(p). Solve h(v) = 0 for v.
-2, -1, 0, 1
Let u(l) be the first derivative of l**3 + 3/2*l**2 + 0*l + 1. Factor u(r).
3*r*(r + 1)
Let n(o) be the second derivative of 7*o**6/165 + 2*o**5/5 + 16*o**4/11 + 80*o**3/33 + 16*o**2/11 + 9*o. Factor n(j).
2*(j + 2)**3*(7*j + 2)/11
Suppose 0*i + 5*g = -2*i + 4, g = -5*i + 10. Let c be (i/(-4))/(1/(-4)). Factor 3*y - 9/4*y**c + 3/4*y**4 + 3 - 3/2*y**3.
3*(y - 2)**2*(y + 1)**2/4
Let o(c) be the first derivative of -2*c**3/9 + 4*c**2/3 + 12. What is k in o(k) = 0?
0, 4
Let x(u) be the third derivative of 2*u**7/105 + u**6/6 + 8*u**5/15 + 2*u**4/3 + 30*u**2. Factor x(o).
4*o*(o + 1)*(o + 2)**2
Suppose q - 2*q + 2*x + 6 = 0, q + 9 = -3*x. Suppose 3*d - d - p - 3 = q, 15 = 5*p. Factor 4*w**4 + w - 9*w**2 - 2*w - 6*w**d + 13*w**2 - w**5.
-w*(w - 1)**4
Let -8*x - 4 - 4 - 8*x**2 + 7*x**2 - x**2 = 0. What is x?
-2
Let w(i) = -2*i**5 + 2*i**4 + 7*i**3 - 2*i**2 + 5*i. Suppose 2*p + 3*p + 25 = 0. Let j(h) = -h**3 - h. Let v(s) = p*j(s) - w(s). Factor v(o).
2*o**2*(o - 1)**2*(o + 1)
Let b(p) be the third derivative of p**8/10080 - p**7/5040 + 7*p**3/6 + 6*p**2. Let u(d) be the first derivative of b(d). Factor u(c).
c**3*(c - 1)/6
Let s(z) = -z**3 + 1. Let l(i) = 5*i**3 + 5*i**2 - i - 9. Let n(v) = -5*l(v) - 20*s(v). Factor n(r).
-5*(r - 1)*(r + 1)*(r + 5)
Let s(a) = 3*a - 13. Let l be s(6). Let f(y) be the second derivative of 1/18*y**4 + 0 + 3*y - 7/60*y**l - 1/3*y**2 + 7/18*y**3. Find b, given that f(b) = 0.
-1, 2/7, 1
Let m(x) = 2*x**3 - 15*x**2 + 8*x - 3. Let u be m(7). Suppose -s**3 + 0*s + s**5 + 0 + 1/2*s**u - 1/2*s**2 = 0. What is s?
-1, -1/2, 0, 1
Let a be (-1)/(-3)*0 + 6. Let c be (20/6)/(4/a). Factor -c - 2*g**3 + 3 + 2*g + 2*g**2 + 0*g**3.
-2*(g - 1)**2*(g + 1)
Let h(p) = -p**2 - 14*p - 6. Let w be h(-7). Let f = w + -41. Factor -1/3*g**3 + 2/3 + g + 0*g**f.
-(g - 2)*(g + 1)**2/3
Let u(k) be the third derivative of 0 + 0*k + 1/28*k**4 + 0*k**3 + 3*k**2 + 1/210*k**5. Suppose u(r) = 0. What is r?
-3, 0
Let v(z) = 3*z**3 - 11*z**2 + z - 5. Let d(p) = -2*p**3 + 6*p**2 - p + 3. Let k(f) = 5*d(f) + 3*v(f). Factor k(w).
-w*(w + 1)*(w + 2)
Let u(q) = -q**2 + 1133 + q - 1133. Let t be (1 - 1) + -1 - 1. Let m(r) = -6*r + 8. Let o(z) = t*u(z) + m(z). Factor o(p).
2*(p - 2)**2
Let r = -686 + 686. Solve 0*b + 1/7*b**2 + r - 1/7*b**4 + 0*b**3 = 0.
-1, 0, 1
Let y(w) be the third derivative of -w**8/1512 - w*