- 2)*(q - 1)
Let o(g) be the third derivative of -g**5/300 + 7*g**4/60 - 49*g**3/30 + 4*g**2. Solve o(p) = 0 for p.
7
Solve -4*s**5 + 12*s**2 + 17*s**3 + 8 - 8 - 4*s + 3*s**4 - 6*s**4 = 0 for s.
-2, -1, 0, 1/4, 2
Let q = -23 + 27. Let c(r) be the first derivative of -2 + 3/5*r**5 - 1/6*r**6 - 1/2*r**q - r - 2/3*r**3 + 3/2*r**2. Determine l so that c(l) = 0.
-1, 1
Let q(k) = k**2 - 4*k**2 + 2*k**2. Let n(p) = 2*p**3 + 4*p**2. Suppose -5*v = -7 + 2. Let i(y) = v*n(y) + 2*q(y). Factor i(u).
2*u**2*(u + 1)
Let f(s) be the third derivative of -3*s**6/32 + 7*s**5/48 + 5*s**4/48 - 13*s**2. Factor f(v).
-5*v*(v - 1)*(9*v + 2)/4
Let f(s) = -5*s**4 - 40*s**3 - 108*s**2 - 122*s - 43. Let n(i) = 135*i**4 + 1080*i**3 + 2915*i**2 + 3295*i + 1160. Let g(r) = 55*f(r) + 2*n(r). Solve g(v) = 0.
-3, -1
Let z(j) be the third derivative of -j**5/30 + j**4/4 + 5*j**2. Determine d so that z(d) = 0.
0, 3
Let b(c) be the third derivative of -c**7/280 - 2*c**3/3 + 2*c**2. Let h(j) be the first derivative of b(j). Factor h(k).
-3*k**3
Let x(i) be the first derivative of -5*i**4/2 + 14*i**3/3 + 8*i**2 - 8*i + 8. Factor x(v).
-2*(v - 2)*(v + 1)*(5*v - 2)
Suppose -1/5 + 1/5*y**2 + 0*y = 0. Calculate y.
-1, 1
Let b be ((-6)/14)/(38/(-133)). Solve -3/2*r + 3*r**2 + b*r**3 - 3 = 0 for r.
-2, -1, 1
Let g(o) = 7*o**3 - 13*o**2 + 12*o + 3. Let v(p) = 13*p**3 - 27*p**2 + 24*p + 5. Let f(l) = -5*g(l) + 3*v(l). Find a, given that f(a) = 0.
0, 1, 3
Find i such that i**3 - 3/2*i**4 + 9/2*i**2 + 2 - 6*i = 0.
-2, 2/3, 1
Determine b, given that -2/11*b + 2/11*b**3 - 6/11 + 6/11*b**2 = 0.
-3, -1, 1
Let p(o) = o - 8. Let g be p(10). Let k(l) be the first derivative of -2 + 0*l + 3/2*l**4 + l**2 - g*l**3 - 2/5*l**5. Suppose k(d) = 0. Calculate d.
0, 1
Suppose 0 = 98*h - 92*h - 12. Let 2/3*y + 4/3 - 2/3*y**h = 0. What is y?
-1, 2
Let j(c) be the third derivative of c**8/112 - c**7/70 - 3*c**6/40 + c**5/20 + c**4/4 - 29*c**2 + c. Factor j(s).
3*s*(s - 2)*(s - 1)*(s + 1)**2
Let y be (-43)/(-28) + 1 + 27/(-21). Factor 2*r + 1/4*r**3 - 1 - y*r**2.
(r - 2)**2*(r - 1)/4
Let w(t) be the second derivative of -t**3/6 + 9*t**2/2 + t. Let g be w(7). Factor -c**3 - 3*c + c**4 - g - 6*c**2 + 0*c**4 + 8*c + 3*c**2.
(c - 1)**3*(c + 2)
Suppose -4*x = 4*v - 12, -2*v = -2*x + 5*x - 7. Factor 1/5*s**4 + 1/5*s**v + 0*s + 2/5*s**3 + 0.
s**2*(s + 1)**2/5
Let j(g) be the first derivative of g**3/8 + 9*g**2/4 + 27*g/2 - 18. Factor j(r).
3*(r + 6)**2/8
Let g(z) be the first derivative of -z**4/9 + 2*z**2/3 + 6*z - 7. Let p(f) be the first derivative of g(f). Find k, given that p(k) = 0.
-1, 1
Suppose 4*k - 18 = -2*p + p, -30 = -5*p - 5*k. Suppose -3*y - 12 = 3*g, 2*y + 9 - 1 = 0. Find r, given that -1/3*r**3 - 1/3*r + g + 2/3*r**p = 0.
0, 1
Suppose -15/2 - 35/6*z**2 - 25/2*z - 5/6*z**3 = 0. Calculate z.
-3, -1
Let y = 11899 + -249827/21. Let a = 20/7 + y. Suppose -a*n**2 - 2*n**3 - 14/3*n - 4/3 = 0. Calculate n.
-1, -2/3
Let j(q) = -q**3 - q**2. Let v be j(-1). Let u = 2 + v. Factor 1/2*s + 1/4 + 1/4*s**u.
(s + 1)**2/4
Let t = -4 + 8. Solve -8*r**4 - r**4 + 10*r**t + r**3 = 0.
-1, 0
Let x(m) be the first derivative of -3*m**5/5 + 3*m**4/4 + 3*m**3 - 3*m**2/2 - 6*m + 5. Find p such that x(p) = 0.
-1, 1, 2
Let w be (-60)/(-27) - 2/9. Let l(h) be the second derivative of 0 - 1/7*h**w - 2*h + 0*h**3 + 1/42*h**4. Factor l(a).
2*(a - 1)*(a + 1)/7
Let d(i) be the second derivative of -i**4/24 + i**3 - 9*i**2 - 19*i. Factor d(q).
-(q - 6)**2/2
Suppose -12 = -4*h + 20. Let 3*a - h + 8 + 3*a**3 + 6*a**2 = 0. Calculate a.
-1, 0
Let r(b) be the third derivative of 1/150*b**6 + 0*b + 1/15*b**3 + 0 + 4*b**2 - 1/30*b**4 - 1/525*b**7 + 0*b**5. Factor r(t).
-2*(t - 1)**3*(t + 1)/5
Solve 0*d + 0*d**3 + 1/6*d**4 - 1/6*d**2 + 0 = 0 for d.
-1, 0, 1
Let n(z) = -z**3 - 4*z**2 - 2*z. Let d be n(-3). Let l = d - -7. Let 0*w**2 - 7*w**l - 12*w + 2 + 39*w**4 + 2*w**2 + 48*w**3 = 0. What is w?
-1, 1/4
Let g be ((-12)/15)/((-4)/30). Let b be g/(-36) + 38/12. Factor y - 2*y**2 - y**b - y.
-y**2*(y + 2)
Let m(f) = 3*f**4 - 9*f**3 + 13*f**2 - 3*f - 1. Let p(i) = i**4 + i**2 + i - 1. Let d(k) = 5*m(k) - 5*p(k). Factor d(n).
5*n*(n - 2)**2*(2*n - 1)
Let g(v) be the second derivative of 0*v**3 - 2*v + 1/6*v**4 + 0*v**2 + 0 - 1/20*v**5. Solve g(p) = 0 for p.
0, 2
Let q(a) be the first derivative of -1/5*a**2 + 1/15*a**6 + 0*a**4 + 0*a + 4/25*a**5 - 10 - 4/15*a**3. Suppose q(x) = 0. Calculate x.
-1, 0, 1
Let -21*u**4 - 4*u**5 + 5*u**4 - 20*u**3 - 8*u**2 + 147*u - 147*u = 0. What is u?
-2, -1, 0
Let c(o) be the third derivative of o**8/26880 + o**7/5040 + o**6/2880 + o**4/8 - 3*o**2. Let d(s) be the second derivative of c(s). Let d(y) = 0. What is y?
-1, 0
Suppose t - 7 = -3*k, 4*t + k - 3 = 14. Factor 0 + 42/11*i**t + 0*i + 32/11*i**3 + 8/11*i**2 + 18/11*i**5.
2*i**2*(i + 1)*(3*i + 2)**2/11
Factor 2/5 - 2/5*f**2 + 0*f.
-2*(f - 1)*(f + 1)/5
Let q(x) be the second derivative of 3*x - 1/45*x**6 - 7/9*x**3 - 2/3*x**2 - 1/2*x**4 - 1/6*x**5 + 0. Find v, given that q(v) = 0.
-2, -1
Let s(w) be the third derivative of -w**8/3696 - w**7/1155 - w**6/1320 - 16*w**2. What is j in s(j) = 0?
-1, 0
Suppose -6*p + 324 = -9*p. Let y be (-6)/(-21) + p/(-14). Find a such that 2*a**2 + 8 - y + 2*a = 0.
-1, 0
Let t(k) be the first derivative of -4 - 2/15*k**5 + 0*k**3 - 1/18*k**6 + 0*k**2 + 0*k - 1/12*k**4. Let t(l) = 0. Calculate l.
-1, 0
Let y be (-3)/2*52/(-6). Suppose y = 4*c - 3. Factor -c*s**3 + 2*s**4 - 2*s**2 + 3*s**2 + s**2.
2*s**2*(s - 1)**2
Let w(v) be the third derivative of -v**8/6720 - v**7/840 + v**5/12 - 4*v**2. Let g(b) be the third derivative of w(b). Factor g(q).
-3*q*(q + 2)
Let -1 + 40*v**3 + 3 + 46*v**2 + 11*v + 6*v = 0. What is v?
-1/2, -2/5, -1/4
Let d be -1*(-2 - -2) - 0. Let r(i) be the third derivative of -1/240*i**6 + 0*i**7 + 0*i**4 + 0*i**5 + 2*i**2 + 0 + d*i + 1/672*i**8 + 0*i**3. Factor r(y).
y**3*(y - 1)*(y + 1)/2
Let i(b) be the second derivative of b**7/1260 - b**5/180 - b**3/3 - b. Let u(v) be the second derivative of i(v). Let u(m) = 0. Calculate m.
-1, 0, 1
Let o = -3 - -5. Let n be (3/3)/((-4)/(-2)). Factor -1/4*q**3 + n - 5/4*q + q**o.
-(q - 2)*(q - 1)**2/4
Let j(o) be the third derivative of -o**7/360 + o**6/360 - o**4/24 + o**2. Let h(f) be the second derivative of j(f). Factor h(b).
-b*(7*b - 2)
Let g(b) be the first derivative of -b**6/24 + 17*b**5/80 - 7*b**4/16 + 11*b**3/24 - b**2/4 - b - 3. Let x(z) be the first derivative of g(z). Factor x(a).
-(a - 1)**3*(5*a - 2)/4
Let s(m) = m**3 - 3*m**2 - 2*m - 6. Let k(r) = r**3 - 3*r**2 - r - 5. Let j be (-6)/(-3)*5/(-2). Let q(z) = j*k(z) + 4*s(z). Solve q(y) = 0 for y.
1
Let y = -3157/9 + 351. Find l such that -2/3*l**2 + y*l + 4/9 = 0.
-2/3, 1
Suppose 1/2*x + 0 + 4*x**3 + 7/4*x**4 + 11/4*x**2 = 0. What is x?
-1, -2/7, 0
Let j(a) be the second derivative of a**4/8 + a**3 + 3*a**2 + a. Factor j(x).
3*(x + 2)**2/2
Let l(c) = 6*c**2 - 4*c - 10. Let i(x) = 7*x**2 - 3*x - 10. Let b(n) = 4*i(n) - 5*l(n). Determine w, given that b(w) = 0.
-1, 5
Solve -15*a**2 + 24*a**3 + 6*a - 4*a**4 + a**4 - 12*a**3 = 0.
0, 1, 2
Factor 1/2*g**4 + 7/2*g**3 + 0 + 9/2*g + 15/2*g**2.
g*(g + 1)*(g + 3)**2/2
Factor -6*v - 4*v**2 - 34 + 46 + 14*v.
-4*(v - 3)*(v + 1)
Let n = 93 - 90. Factor -2*i**n - 3/4*i**4 - 7/4*i**2 + 0 - 1/2*i.
-i*(i + 1)**2*(3*i + 2)/4
Let y(b) be the second derivative of b**5/110 - b**4/33 - 4*b**3/33 + 8*b**2/11 - 30*b + 2. Solve y(n) = 0.
-2, 2
Let w = 36 - 34. Let f(p) be the first derivative of -4/27*p**3 + 1/3*p**w + 2 - 1/9*p**4 - 1/27*p**6 - 2/9*p + 2/15*p**5. Factor f(d).
-2*(d - 1)**4*(d + 1)/9
Let k(y) = 2*y**2 - 3*y + 3. Let l be k(3). Suppose -5*s + 8 = -3*h, 12 = 2*h + 4*s - l. Let -m**5 - m**5 - 4*m**2 + m + m + h*m**4 = 0. What is m?
-1, 0, 1
Let w(h) be the third derivative of h**6/420 + h**5/105 + h**4/84 + 4*h**2. Find k such that w(k) = 0.
-1, 0
Let u(f) = f**3 - 4*f**2 - 2*f + 5. Let d be u(4). Let r(n) = n**3 + 5*n**2 + 5*n - 1. Let l be r(d). Let 1/3*h**l - h + 2/3 = 0. Calculate h.
1, 2
Let r(j) be the second derivative of 3/4*j**2 + 7*j - 7/8*j**3 + 3/16*j**4 + 0. Solve r(w) = 0 for w.
1/3, 2
Factor -237 - 72*f**2 + 12*f - 15*f**4 + 237 + 63*f**3.
-3*f*(f - 2)**2*(5*f - 1)
Let s(v) be the third derivative of -v**5/60 + v**4/12 - 20*v**2. Factor s(y).
-y*(y - 2)