o) be the first derivative of r(o). Factor a(v).
2*(v + 2)**2
Let w(o) = -11*o**3 - 8*o**2 + 23*o - 17. Let q(y) = 5*y**3 + 4*y**2 - 11*y + 8. Let h = 13 + -7. Let z(a) = h*w(a) + 13*q(a). Factor z(m).
-(m - 2)*(m - 1)**2
Let v(w) be the third derivative of w**7/4200 - w**6/900 + 2*w**3/3 - w**2. Let x(c) be the first derivative of v(c). What is f in x(f) = 0?
0, 2
Factor 0*o + 0*o**2 - 2/7*o**5 + 0 + 0*o**3 + 4/7*o**4.
-2*o**4*(o - 2)/7
Let y(l) be the second derivative of -2*l + 0*l**2 - 1/30*l**4 + 0*l**3 + 0*l**5 + 0 + 1/75*l**6. Factor y(c).
2*c**2*(c - 1)*(c + 1)/5
Let k be 44/(-24) + 1 - -1. Let g(i) be the first derivative of -2 - k*i**4 + 1/3*i**2 + 2/9*i**3 - 2/3*i. Let g(s) = 0. Calculate s.
-1, 1
Let n(m) be the second derivative of 2*m**6/15 - m**5/5 - m**4/3 + 2*m**3/3 + 32*m. Factor n(r).
4*r*(r - 1)**2*(r + 1)
Let w(h) be the second derivative of h**5/210 - h**2/2 + 3*h. Let g(i) be the first derivative of w(i). Factor g(x).
2*x**2/7
Let d(c) be the third derivative of 1/80*c**6 + 1/24*c**5 + 0*c + 0*c**3 - 1/420*c**7 - 4*c**2 - 1/672*c**8 + 1/24*c**4 + 0. Find k, given that d(k) = 0.
-1, 0, 2
Let d be (-2)/5 - (-216)/15. Suppose -3*a = t - 6*a - d, 0 = 4*a + 12. Factor -t*x**3 - 4*x**2 - 2*x**4 + 0*x**3 + x**3 - 2*x**3.
-2*x**2*(x + 1)*(x + 2)
Let u = 148/85 - 12/85. Factor -2/5*r**2 - u - 8/5*r.
-2*(r + 2)**2/5
Let i be (3/(-4))/(1/(-4)). Suppose i*k + 2*k = 25. Suppose k*z**2 + 3*z - 3*z**2 + z = 0. What is z?
-2, 0
Let -6*m**3 + 4*m**4 + 3*m**2 - 2*m**3 + 2*m**2 - m**2 = 0. What is m?
0, 1
Let j(v) = 3*v**2 - 16*v - 7. Let w be j(6). Factor 0*y + 1/3*y**4 + 0 + 1/3*y**w - 1/3*y**2 - 1/3*y**3.
y**2*(y - 1)*(y + 1)**2/3
Let m(h) = h**2 + 17*h + 11. Let p be m(-15). Let r = p + 19. Factor 4/3*t**2 + 4/3*t**3 - 5*t**4 + 0 + r*t.
-t**2*(3*t - 2)*(5*t + 2)/3
Let z(i) = -i**3 - 8*i**2 + i + 11. Let t be z(-8). Let a(q) be the second derivative of -t*q - 1/42*q**4 + 0*q**3 + 1/7*q**2 + 0. Factor a(p).
-2*(p - 1)*(p + 1)/7
Let x(v) be the second derivative of 0*v**2 + 0 + 2/33*v**3 - v - 1/66*v**4. Factor x(o).
-2*o*(o - 2)/11
Let z(h) be the first derivative of 16*h**5/5 - 23*h**4 - 8*h**3 + 7. Solve z(p) = 0 for p.
-1/4, 0, 6
Let h = 157/987 + -3/47. Let l(s) be the first derivative of 2/7*s + 0*s**2 - 2 - h*s**3. Factor l(d).
-2*(d - 1)*(d + 1)/7
Let i(r) be the third derivative of r**8/9240 - r**7/4620 - 7*r**3/6 + r**2. Let h(u) be the first derivative of i(u). Factor h(l).
2*l**3*(l - 1)/11
Let m be (-2)/(-1) - (12 + -13). Factor 0 + 0*q**2 - 1/2*q**m + 0*q + 1/2*q**4.
q**3*(q - 1)/2
Find p, given that p**5 - 6*p**2 + 7*p - 150 + 0*p**4 + 156 - 8*p**3 + 0*p**4 = 0.
-2, -1, 1, 3
Let w(q) be the first derivative of 7*q**6/1440 + q**5/96 - q**4/48 + 5*q**3/3 - 2. Let j(b) be the third derivative of w(b). Find y such that j(y) = 0.
-1, 2/7
Let d(n) = -2*n**4 + 14*n**3 + 4*n**2 + 8*n. Let p(h) = 3*h**4 - 15*h**3 - 3*h**2 - 9*h. Let l be 1/(8/(-6))*8. Let o(a) = l*d(a) - 5*p(a). Factor o(i).
-3*i*(i + 1)**3
Factor 2/3*u + 2/9*u**2 + 0.
2*u*(u + 3)/9
Factor -3*l**3 - 9*l**5 - 6*l**4 - 7*l**5 + 13*l**5.
-3*l**3*(l + 1)**2
Suppose -j = 2*j + 3. Let x = -1/2 - j. Factor 1/4*n**3 - 3/4*n + 0*n**2 + x.
(n - 1)**2*(n + 2)/4
Let f(j) be the second derivative of 0*j**4 - j - 1/5*j**5 + 0 - 1/21*j**7 + 0*j**3 + 0*j**2 + 1/5*j**6. Let f(n) = 0. What is n?
0, 1, 2
Suppose 4*z = -5*z + 18. Solve -2/3 + 1/3*o**3 + 5/3*o - 4/3*o**z = 0 for o.
1, 2
Let m(n) = 10*n - 2. Let d be m(2). Factor -18*v - 2*v**2 - 2*v**3 + d*v.
-2*v**2*(v + 1)
Suppose 3 + 3 = 3*f. Let u be (-3)/f*32/(-12). Factor 3*n - u - n - 3*n**2 + 4*n + n**2.
-2*(n - 2)*(n - 1)
Let n(w) be the first derivative of -2*w**4/7 - 22*w**3/21 + 3*w**2/7 - 13. Suppose n(t) = 0. Calculate t.
-3, 0, 1/4
Suppose -3*v + 5*x + 16 = 0, 0*v + 2 = 2*v + x. Factor 0*h - 3*h**v + h**3 + 1 - 2 + 3*h.
(h - 1)**3
Factor 3*j - 30*j**5 - 6*j**3 + 62*j**5 - 29*j**5.
3*j*(j - 1)**2*(j + 1)**2
Let o(m) be the third derivative of -5*m**8/336 + m**7/42 + m**6/24 - m**5/12 - m**2. Factor o(j).
-5*j**2*(j - 1)**2*(j + 1)
Let s = 25 + -22. Determine c, given that 0 + 4/7*c**2 + 2/7*c**s + 2/7*c = 0.
-1, 0
Suppose 18*u = 21*u. Let k(t) be the third derivative of 0 + 1/360*t**6 + 1/9*t**3 - 3*t**2 - 1/24*t**4 + 0*t + u*t**5. Determine q so that k(q) = 0.
-2, 1
Let j(v) be the first derivative of -3*v - 1 + 3/2*v**2 + 2*v**3. Suppose j(l) = 0. Calculate l.
-1, 1/2
Let p = 100 + -498/5. Let w be (-39)/(-30) - 2/(20/5). Factor 6/5*m**2 - p + w*m.
2*(m + 1)*(3*m - 1)/5
Let c(s) be the second derivative of -5*s + 1/60*s**5 + 0*s**2 - 1/126*s**7 + 0 + 0*s**3 - 1/36*s**4 + 1/90*s**6. Factor c(i).
-i**2*(i - 1)**2*(i + 1)/3
Suppose -v - 2*v - 54 = -3*n, 5*n - 105 = 2*v. Let y = -205/9 + n. Suppose 0*z - 2/9 + y*z**2 = 0. What is z?
-1, 1
Let a(z) be the first derivative of -z**6/3 - 6*z**5/5 + 2*z**4 + 32*z**3/3 - 32*z + 37. Factor a(t).
-2*(t - 2)*(t - 1)*(t + 2)**3
Let v(y) = y**2 + 3*y - 3. Let x(q) be the first derivative of q**3/3 + q**2 - 2*q + 3. Let r(l) = 2*v(l) - 3*x(l). Suppose r(h) = 0. Calculate h.
0
Suppose 0 = -2*q - 1 - 1. Let c be (q - -1) + -5 + 8. Solve -3 + c + g - g**3 = 0 for g.
-1, 0, 1
Let x(q) = q**2 + 5*q - 2. Let o be x(-5). Let t = 12 + o. Determine j so that 14*j**2 - 2*j**2 + 2*j + 6*j**3 - 6*j**5 - t*j**4 - 2 - 2*j**3 = 0.
-1, 1/3, 1
Suppose -7/3*l**2 - 2/3*l - 2/3*l**3 + 1 = 0. Calculate l.
-3, -1, 1/2
Let g = 4/67 + 642/469. Solve -8/7*m**4 + 0*m + 0 - 4/7*m**2 - g*m**3 - 2/7*m**5 = 0 for m.
-2, -1, 0
Let k(r) be the third derivative of -r**8/336 - 2*r**7/105 - r**6/24 - r**5/30 + 11*r**2. Solve k(v) = 0.
-2, -1, 0
Let q(k) = 3*k - 2*k - 5*k**3 - k**3 + 5*k**3. Let l(o) = -13*o**3 - 6*o**2 + 7*o. Let v(i) = l(i) - 5*q(i). Factor v(c).
-2*c*(c + 1)*(4*c - 1)
Let g be 2/(-4) + (-77)/(-66). What is j in 2/3*j**3 + g - 5/3*j + 1/3*j**2 = 0?
-2, 1/2, 1
Let a be -62*(-1)/35 + 616/(-1078). Factor -9/5*m + 6/5*m**3 + 3/5*m**5 - a*m**2 + 9/5*m**4 - 3/5.
3*(m - 1)*(m + 1)**4/5
Let q be 4/(-22) + 57/132. Factor -q - 1/2*a - 1/4*a**2.
-(a + 1)**2/4
Factor 1/4*i - 1/8*i**2 - 1/8.
-(i - 1)**2/8
Let d(b) be the first derivative of -4*b**3/57 - b**2/19 - 3. Factor d(p).
-2*p*(2*p + 1)/19
Let j(x) be the first derivative of 0*x + 4*x**4 + 2*x**2 - 6/5*x**5 - 14/3*x**3 - 2. Let j(b) = 0. What is b?
0, 2/3, 1
Let i(g) be the first derivative of g**5 + 5*g**4/2 - 5*g**3 - 56. Solve i(f) = 0 for f.
-3, 0, 1
Let x(f) be the first derivative of -f**6/200 + f**4/40 + 2*f**2 - 2. Let q(h) be the second derivative of x(h). Factor q(p).
-3*p*(p - 1)*(p + 1)/5
Let l(v) be the third derivative of 0 + v**2 - 1/4*v**4 + 0*v + 2/3*v**3 + 1/20*v**5 - 1/240*v**6. Suppose l(t) = 0. Calculate t.
2
Let c(a) be the second derivative of -a**4/3 - 4*a**3/3 - 2*a**2 - 2*a. Suppose c(q) = 0. Calculate q.
-1
Let j(w) be the first derivative of -2/21*w**3 - 3/7*w**2 - 4/7*w + 3. Factor j(t).
-2*(t + 1)*(t + 2)/7
Let s(w) be the first derivative of -2*w + 2/3*w**3 + 2 - w**2 + 1/2*w**4. Determine y so that s(y) = 0.
-1, 1
Let c be (-3)/(-2) - 2/(-4). Let a = 6 - c. Let -x**2 + 3*x**5 + 5*x - a*x - 4*x**3 - x**2 + 2*x**4 = 0. Calculate x.
-1, 0, 1/3, 1
Suppose 3*u + 3 = 21. Suppose -u*o + 9 = -3*o. Factor 4*z**2 + 0*z**3 - z + 0*z**2 - 3*z**o.
-z*(z - 1)*(3*z - 1)
Let w(r) = -3*r - 1. Let x be w(-1). Suppose x*v - 15 = -3*v. Solve 6*h**3 - 3*h**3 - 10*h**4 + 5*h**v - 4*h**3 - 14*h**5 = 0.
-1, 0, 2/7
Let k = 27 + -27. Let z(s) be the first derivative of 1/2*s**4 - 4 + 0*s**2 - 1/5*s**5 + k*s - 1/3*s**3. What is w in z(w) = 0?
0, 1
Let x(v) = -4*v**2 + 12*v - 40. Let q(d) = d + 2. Let k(l) = -8*q(l) - x(l). Factor k(g).
4*(g - 3)*(g - 2)
Let h be (-1)/(-3) - 35/(-21). Let q(m) be the third derivative of 1/6*m**3 + 0*m - m**h + 0 + 1/60*m**5 - 1/12*m**4. Suppose q(l) = 0. Calculate l.
1
Let k(p) = p**4 + 11*p**3 - 5*p**2 - 15*p + 12. Let c(g) = 2*g**4 + 10*g**3 - 4*g**2 - 15*g + 12. Let z(r) = 4*c(r) - 5*k(r). Find w such that z(w) = 0.
-1, 1, 4
Let o(x) = -3*x**4 + 3*x**2 - 2*x - 2. Let k(q) = q**4 - q**2 + q + 1. Let j(h) = 6*k(h) + 3*o(h). Factor j(d).
-3*d**2*(d - 1)*(d + 1)
Let w(a) be the first derivative of 2/15*a**3 + 3/5*a**2 + 4/5*a - 3. Factor w(q).
2*(q + 1)*(q + 2)/5
Let h(n) = n**2 + 3*n + 2. Let i be h(-3). Let b = -13 