*n**3 + 2*n + 7*n**2.
-2*n*(n - 1)*(n + 1)**2
Let z(m) be the third derivative of m**5/210 - m**3/21 + 23*m**2. Factor z(u).
2*(u - 1)*(u + 1)/7
Let u(t) be the second derivative of 2*t**7/21 + 2*t**6/5 + 2*t**5/5 - 2*t**4/3 - 2*t**3 - 2*t**2 - 4*t. Factor u(f).
4*(f - 1)*(f + 1)**4
Suppose 0 + 2*a**2 + 1/2*a**4 + 0*a - 2*a**3 = 0. Calculate a.
0, 2
Let g(m) = -m + 1. Let s(f) = -4*f**2 - 12*f. Let o(i) = -4*g(i) + s(i). Factor o(h).
-4*(h + 1)**2
Let i = -13 - -21. Let h be (i/14)/((-18)/(-21)). Factor h*f**2 - 2/9*f - 4/9.
2*(f - 1)*(3*f + 2)/9
Factor 0*s + 3/2*s**2 + 0 + 3/4*s**5 + 0*s**4 - 9/4*s**3.
3*s**2*(s - 1)**2*(s + 2)/4
Let i(x) be the second derivative of 0 - 5*x + 0*x**3 - 1/3*x**2 + 1/18*x**4. Factor i(u).
2*(u - 1)*(u + 1)/3
Let l(n) = n**3 - 3*n**2 - 3*n. Let t be l(4). Suppose 6*j**2 - 2*j**3 - 4 + 2*j**4 - t*j**4 + 3*j - j = 0. Calculate j.
-2, -1, 1
Let -1/5*z + 1/5*z**2 - 1/5 + 1/5*z**3 = 0. Calculate z.
-1, 1
Let i(r) be the second derivative of 3*r**7/49 + 11*r**6/35 + 19*r**5/70 + r**4/14 - r. Factor i(s).
2*s**2*(s + 3)*(3*s + 1)**2/7
Let m(p) be the third derivative of p**8/224 - p**7/28 + 7*p**6/80 - 3*p**5/40 - 14*p**2. Factor m(b).
3*b**2*(b - 3)*(b - 1)**2/2
Let l(h) be the third derivative of -h**6/48 + 5*h**5/24 - 5*h**4/16 - 15*h**3/4 + 22*h**2. What is v in l(v) = 0?
-1, 3
Let j be (9/9)/((-7670)/(-4)). Let s = j + 61346/26845. Determine l so that -2/7*l + 0 - 32/7*l**3 - s*l**2 = 0.
-1/4, 0
Let n(i) = -10*i**4 - 3*i**3 + 3*i**2 + 3*i + 7. Let w(d) = 7*d**4 + 2*d**3 - 2*d**2 - 2*d - 5. Let c(v) = 5*n(v) + 7*w(v). Factor c(p).
-p*(p - 1)*(p + 1)**2
Suppose -q - f = 3*q - 17, -4*f - 37 = -5*q. Let p(j) be the second derivative of -2*j + j**3 + 1/40*j**q + 2*j**2 + 1/4*j**4 + 0. Solve p(w) = 0.
-2
Let q(x) = 11*x**3 - 12*x**2 + 15*x + 2. Let i(r) = 4*r**3 - 4*r**2 + 5*r + 1. Let m(s) = 8*i(s) - 3*q(s). Factor m(j).
-(j - 2)*(j - 1)**2
Let n(p) be the first derivative of 3*p**3 - 9*p**2/2 + 2*p - 6. Factor n(h).
(3*h - 2)*(3*h - 1)
Let n(w) be the first derivative of -w**5/5 - w**4/9 - 2*w + 1. Let r(l) be the first derivative of n(l). Factor r(k).
-4*k**2*(3*k + 1)/3
Let m be (1 - 1)/(12 - 14). Let c(w) be the second derivative of -1/35*w**5 - 1/14*w**4 + m*w**2 - 1/21*w**3 + 0 + w. Factor c(y).
-2*y*(y + 1)*(2*y + 1)/7
Suppose -d - 11 = 3*h, -5*d - 4*h - 4 = -d. Let -r**4 - d*r**2 - 5*r**3 - 3*r**4 - 3*r**3 = 0. Calculate r.
-1, 0
Let o(x) = x - 1. Let k(n) = n**2 + 5*n + 10. Let m(i) = -i + 3. Let y be m(2). Let b(p) = y*k(p) + o(p). Factor b(q).
(q + 3)**2
Let a(s) be the third derivative of -s**6/660 + s**5/110 + s**4/33 - 56*s**2. Find g, given that a(g) = 0.
-1, 0, 4
Let g(s) = -s**3 + s**2 - 1. Let v(h) = 5*h**3 - 8*h**2 + 5*h + 2. Let i(f) = 4*g(f) + v(f). Find p such that i(p) = 0.
1, 2
Suppose -6*k + 16 = -4*k. Factor 2*d**5 - d - k*d + d + 6*d**4 + 2*d + 4*d**3 - 2 - 4*d**2.
2*(d - 1)*(d + 1)**4
Let t(c) = 12*c + 3*c**4 - 3 - 6*c**3 - 6*c + 0. Let u(b) = b**4 - b**3 + b - 1. Let o be 1 + 1 + 2/(-2). Let v(q) = o*t(q) - 4*u(q). Factor v(i).
-(i - 1)*(i + 1)**3
What is o in -46*o**4 - 6*o**3 + 20 - 15*o**2 + 31*o - 19*o**3 + 41*o**4 - 6*o = 0?
-4, -1, 1
Factor 2/3*l**3 + 0*l + 2/3*l**2 + 0.
2*l**2*(l + 1)/3
Let w be 0 + 2 + (-8)/7. Let x(p) be the first derivative of 1 + 6/7*p**4 + w*p**3 + 0*p + 2/7*p**5 + 2/7*p**2. Solve x(l) = 0.
-1, -2/5, 0
Let n(h) be the second derivative of -h**7/315 - h**6/180 + h**5/45 - h**2 - 4*h. Let r(g) be the first derivative of n(g). Factor r(y).
-2*y**2*(y - 1)*(y + 2)/3
Let o(p) = p**2 + 6*p + 5. Let z(f) = f**2 + 5*f + 4. Let v(q) = -2*o(q) + 3*z(q). Factor v(t).
(t + 1)*(t + 2)
Let i = -770 + 770. What is c in i - 2/3*c - 1/3*c**2 = 0?
-2, 0
Let i = 69 - 63. Let p(t) be the third derivative of 0*t - 1/525*t**7 + 0*t**4 + 1/300*t**i + 0*t**3 + 0 + 3*t**2 + 0*t**5. Factor p(r).
-2*r**3*(r - 1)/5
Factor -46*m**2 - 12*m**2 - 39*m**3 - 93*m - 30 - 41*m**2 - 3*m**4.
-3*(m + 1)**3*(m + 10)
Factor -v**3 + 0*v - 1/2*v**4 + 0 - 1/2*v**2.
-v**2*(v + 1)**2/2
Find d such that -56*d**2 - 6*d - 3 - 1 + 54*d**2 = 0.
-2, -1
Let v(z) be the second derivative of -z**3/6 + 13*z**2/2 + z. Let f be v(9). Determine s so that s**2 + 3*s**4 - f*s**3 - 3*s**2 + 3*s**2 = 0.
0, 1/3, 1
Let s = 16 + -16. Let f(u) be the third derivative of s*u + 1/84*u**4 + 1/210*u**5 + 0 + 0*u**3 - 2*u**2. Solve f(n) = 0.
-1, 0
Let h(v) be the first derivative of 8 - 23/10*v**2 + 6/5*v + 7/15*v**3. Factor h(t).
(t - 3)*(7*t - 2)/5
Let i(r) be the third derivative of r**5/360 + r**4/72 - 7*r**2. Factor i(c).
c*(c + 2)/6
Let i(m) be the first derivative of -m**6/9 - 2*m**5/15 + m**4/3 + 4*m**3/9 - m**2/3 - 2*m/3 - 2. Solve i(q) = 0.
-1, 1
Factor 0 + 2/3*r**5 + 26/3*r**3 - 4*r**4 - 8*r**2 + 8/3*r.
2*r*(r - 2)**2*(r - 1)**2/3
Let t = 2 - -1. Suppose 3*i + 1 = -4*u, 2*i = -3 - t. Factor 0*n**2 - n**3 + 0*n**u + 2 + n + 2*n.
-(n - 2)*(n + 1)**2
Let y(p) be the second derivative of p**5/60 + p**2 + 2*p. Let b(g) be the first derivative of y(g). Let b(i) = 0. Calculate i.
0
Let g(a) be the first derivative of 4 + 1/2*a**2 + 1/3*a**3 + 0*a. Find j, given that g(j) = 0.
-1, 0
Let r be 2/(-4) + (-627)/6. Let x be r/(-100) + 2/(-8). Find c, given that -2/5*c - x*c**4 + 0 + 4/5*c**2 + 0*c**3 + 2/5*c**5 = 0.
-1, 0, 1
Let h(f) be the first derivative of -1/2*f**6 + 6*f - 3*f**4 + 3 - 12/5*f**5 + 2*f**3 + 15/2*f**2. Factor h(m).
-3*(m - 1)*(m + 1)**3*(m + 2)
Let k(a) be the second derivative of 1/18*a**4 + 1/6*a**3 + 1/6*a**2 - 3*a + 0. Factor k(h).
(h + 1)*(2*h + 1)/3
Let l = 2 - 5. Let y = 5 + l. Factor 2/3 + y*u**2 + 2*u + 2/3*u**3.
2*(u + 1)**3/3
Let b(d) be the third derivative of d**8/2184 - d**7/1365 - d**6/260 + d**5/390 + d**4/78 + 2*d**2. Solve b(i) = 0 for i.
-1, 0, 1, 2
Let n(z) = 23*z**4 - 51*z**3 + 23*z**2. Let i(m) = -12*m**4 + 26*m**3 - 12*m**2. Let v(q) = -11*i(q) - 6*n(q). Factor v(u).
-2*u**2*(u - 3)*(3*u - 1)
Suppose -5*q + 25 = 5. Let d(p) = -3*p**4 + 2*p**3 + 6*p - 1. Let n(o) = -o**4 + o**3 + o. Let y(v) = q*n(v) - d(v). Factor y(x).
-(x - 1)**3*(x + 1)
Factor -f**2 + 2*f + 10*f**4 + 0*f**3 - 9*f**4 - 2*f**3 + 0*f**3.
f*(f - 2)*(f - 1)*(f + 1)
Suppose 0 = -9*n - 0 - 0. Factor 2/7*s**5 + 0*s**4 + n - 4/7*s**3 + 2/7*s + 0*s**2.
2*s*(s - 1)**2*(s + 1)**2/7
Let l = -2 + 7. Let r = 3 + -1. Suppose -1/4*v**l + 1/4*v**r - 2*v - 1/4*v**4 + 1 + 5/4*v**3 = 0. What is v?
-2, 1
Let h(p) be the second derivative of -p**7/105 + p**6/75 + p**5/25 - p**4/15 - p**3/15 + p**2/5 + 6*p. Determine w so that h(w) = 0.
-1, 1
Let f = 1 - -2. Let a + 3*a - a**f - 3*a = 0. Calculate a.
-1, 0, 1
Factor 2/9 + 1/9*d - 1/9*d**3 - 2/9*d**2.
-(d - 1)*(d + 1)*(d + 2)/9
Let t = -7 + 4. Let n(u) = -2*u**2 + 5*u + 4. Let l(s) = 3*s**2 - 9*s - 7. Let v(b) = t*l(b) - 5*n(b). Factor v(h).
(h + 1)**2
Let b(k) be the first derivative of 5 + 0*k**5 + 3/2*k**4 + 0*k + 0*k**2 - 4/3*k**3 - 1/3*k**6. Suppose b(p) = 0. Calculate p.
-2, 0, 1
Let r(k) = -9*k**5 - 18*k**4 - 21*k**3 + 6. Let w(a) = -8*a**5 - 17*a**4 - 20*a**3 - a**2 + 5. Let u(t) = -5*r(t) + 6*w(t). Factor u(j).
-3*j**2*(j + 1)**2*(j + 2)
Suppose 5*h - 29 = -3*u, -2*h + 3*u + 3 = h. Let b be ((-3)/2)/((-3)/h). Factor 2*s + 3*s**b - 4*s - 4*s**3 + 3*s.
-s*(s - 1)*(4*s + 1)
Factor -4/9 - 2/9*k**3 + 4/9*k**2 + 2/9*k.
-2*(k - 2)*(k - 1)*(k + 1)/9
Let z(b) be the second derivative of b**4/42 - 2*b**3/7 + 9*b**2/7 + 35*b. Solve z(w) = 0 for w.
3
Let k(m) be the second derivative of -m**6/10 - 21*m**5/10 - 61*m**4/4 - 42*m**3 - 54*m**2 + 5*m. Factor k(q).
-3*(q + 1)**2*(q + 6)**2
Suppose -2*p + 4*q = -10, 5*p - 17 = p + 5*q. Suppose 3*x + 11 = -4*k - p, 3*x + 4 = -2*k. Factor 0*y**x + 2/7*y**4 + 0 + 0*y + 2/7*y**3.
2*y**3*(y + 1)/7
Let d be 8/(-6)*(-18)/4. Let x(s) be the third derivative of 0*s + 1/60*s**5 - s**2 - 1/6*s**3 + 1/240*s**d - 1/48*s**4 + 0. Solve x(g) = 0 for g.
-2, -1, 1
Solve 0*t - 6/11*t**2 + 2/11*t**3 + 8/11 = 0.
-1, 2
Let m = -6 - -7. Let w = 4 - m. Suppose 1/2*b**2 + 1/4*b + 1/4*b**w + 0 = 0. Calculate b.
-1, 0
Factor -4/5*f**3 + 6/5*f + 6/5*f**4 - 2/5 - 2/5*f**5 - 4/5*f**2.
-2*(f - 1)**4*(f + 1)/5
Let m(w) be the second derivative of w**7/45 - 23*w**6/225 - 29*w**5/150 + 31*w**4/90 + 22*w**3/45 - 8*w**2/15 - 26*w. Suppose m(y) = 0. Calculate y.
-1, 2/7, 1, 4
Let q be (3/(