 Let i(o) = -14*g(o) - 5*p(o). Factor i(l).
-4*l*(l - 3)*(l + 1)
Let g be (3 + 0)/((-6)/8). Let j(f) = -2*f**2. Let c(i) be the third derivative of -i**5/30 + i**4/24 + i**2. Let w(t) = g*c(t) + 3*j(t). Factor w(m).
2*m*(m - 2)
Factor -1/3*y**3 + 0*y**2 + 0 + 4/3*y.
-y*(y - 2)*(y + 2)/3
Suppose 5*y - 35 = -155. Let k be (y/16)/((-1)/2). Factor -d**2 + 0*d + d**3 - d + 2*d + k*d**2.
d*(d + 1)**2
Let w(p) = 4*p**4 + 7*p**3 - 3*p + 3. Let x(q) = -7*q**4 - 13*q**3 - q**2 + 5*q - 5. Let a(y) = 5*w(y) + 3*x(y). Determine r, given that a(r) = 0.
-3, -1, 0
Let g(l) be the first derivative of 2*l**6/21 - 8*l**5/35 - l**4/7 + 8*l**3/21 - 11. Solve g(m) = 0.
-1, 0, 1, 2
Let f(z) be the second derivative of z**4/78 - 2*z**3/39 - 3*z**2/13 - 10*z. Solve f(a) = 0 for a.
-1, 3
Factor -2*f + 9*f - 6*f + f**2 - 2.
(f - 1)*(f + 2)
Let t = 401 + -1195/3. What is f in -4/3*f**3 + 8/3 + 4/3*f - t*f**2 = 0?
-2, -1, 1
Let q(f) be the second derivative of f**5/5 + 2*f**4/3 - 2*f**3 - 8*f. Factor q(r).
4*r*(r - 1)*(r + 3)
Let x be 2*(0 - -1)*1. Factor 2 + 0 + x*u**2 + 2*u**2 + 6*u.
2*(u + 1)*(2*u + 1)
Let j = 51/44 + -10/11. Let h = 1/4 + 0. Factor -j*l**2 + 0 + h*l.
-l*(l - 1)/4
Let p = -178 + 182. Let x(t) be the first derivative of 4/39*t**3 + 0*t + 1 - 3/26*t**p + 0*t**2. Factor x(s).
-2*s**2*(3*s - 2)/13
Determine w so that 4/5*w**2 + 0 - 4*w = 0.
0, 5
Find a such that 6/7*a**3 + 0 - 2/7*a**5 - 2/7*a**4 + 10/7*a**2 + 4/7*a = 0.
-1, 0, 2
Suppose -m - 3*a = -0*a - 11, 5*m - 35 = 5*a. Let z = m + -23/3. Factor 0*w + w**3 + 0 - z*w**2.
w**2*(3*w - 1)/3
Suppose 4*a + 2 = 18. Solve 2/11*d**a + 2/11*d**3 - 2/11*d**2 + 0*d - 2/11*d**5 + 0 = 0 for d.
-1, 0, 1
Suppose 2*t - 52 = 5*n, -16 = n - 0*n + t. Let y be (2/2)/(n/(-8)). Suppose -1/3 + 1/3*c**4 + 0*c**2 - y*c**3 + 2/3*c = 0. What is c?
-1, 1
Factor -2*o**3 - 2*o**4 - 2*o**2 + 5*o**2 + 6*o - 4*o - o**2.
-2*o*(o - 1)*(o + 1)**2
Let a(n) be the first derivative of -n**9/1008 + n**8/560 + 4*n**3/3 + 1. Let m(i) be the third derivative of a(i). Solve m(g) = 0 for g.
0, 1
Let l(g) = 7*g**4 - 3*g**2 - 4*g. Let p(y) = -57*y**4 + 24*y**2 + 33*y. Let f(t) = 33*l(t) + 4*p(t). Factor f(h).
3*h**2*(h - 1)*(h + 1)
Let n(l) = l + 7. Let g be n(-5). Let y(u) be the third derivative of 0*u**3 - u**g + 0*u**6 + 1/210*u**7 + 0*u**5 - 1/336*u**8 + 0*u**4 + 0*u + 0. Factor y(k).
-k**4*(k - 1)
Let z be 1*(0 - (1 - 4)). Let k be (-5)/(-6) - z/6. Factor -k*o**2 + 0*o - 2/3*o**3 + 0 - 1/3*o**4.
-o**2*(o + 1)**2/3
Let z(l) be the first derivative of -l**6/9 - 2*l**5/15 + l**4/6 + 2*l**3/9 - 2. Determine j, given that z(j) = 0.
-1, 0, 1
What is x in -2/11*x + 0 + 10/11*x**3 - 2/11*x**2 - 6/11*x**4 = 0?
-1/3, 0, 1
Let f(m) be the second derivative of 2*m**7/21 - 2*m**5/5 + 2*m**3/3 - 4*m. Solve f(w) = 0.
-1, 0, 1
Factor 0 + 0*m + 3/5*m**4 - 3/5*m**5 - 3/5*m**2 + 3/5*m**3.
-3*m**2*(m - 1)**2*(m + 1)/5
Let b(v) be the third derivative of -v**6/900 + v**5/75 - v**4/15 + v**3/2 - 3*v**2. Let r(a) be the first derivative of b(a). Determine h, given that r(h) = 0.
2
Let t(r) be the second derivative of 5*r**4/12 + 5*r**3 + 20*r**2 - 33*r. Let t(p) = 0. What is p?
-4, -2
Let u be 2/((-8)/(-20)) + -3. Let o(l) be the first derivative of -1/3*l**u - 2 + 0*l - 2/9*l**3. Factor o(s).
-2*s*(s + 1)/3
Let o(d) = 3*d**3 - 18*d**2 + 27*d**2 + 8*d - 2*d**3. Let y be o(-8). Factor y*f - 10/9*f**3 + 4/9*f**2 + 8/9*f**4 + 0 - 2/9*f**5.
-2*f**2*(f - 2)*(f - 1)**2/9
Suppose 0 = -10*a + 1 + 29. Let g(d) be the first derivative of -1/6*d**3 + 0*d**2 + a + 0*d + 1/4*d**4 - 1/10*d**5. Factor g(u).
-u**2*(u - 1)**2/2
Let n(r) = 2*r - 2. Let m be n(2). Let u be 0*1/2*-1. Solve u*z**m + 0 + 0*z**4 + 4/5*z**3 - 2/5*z - 2/5*z**5 = 0 for z.
-1, 0, 1
Let b(z) = -z**3 - z**2 + z + 2. Let o be b(-2). Let k = o + -1. Factor 1 - 3*p**k + 2*p - 2*p**2 + 1 + p**3.
-2*(p - 1)*(p + 1)**2
Let y(k) be the first derivative of -4*k**3/3 - 16*k**2 - 64*k + 7. Suppose y(m) = 0. Calculate m.
-4
Let k(d) be the third derivative of 2/45*d**5 - 1/3*d**3 + 4*d**2 + 0*d - 1/90*d**6 + 0 - 1/315*d**7 + 1/18*d**4. Solve k(b) = 0 for b.
-3, -1, 1
Let p(s) be the second derivative of 3/2*s**2 - 3*s + 1/60*s**6 + 0 + 1/12*s**4 + 0*s**3 + 1/15*s**5. Let i(j) be the first derivative of p(j). Factor i(r).
2*r*(r + 1)**2
Let x(k) be the second derivative of -25*k**4/72 + 35*k**3/36 - 5*k**2/6 - 2*k + 5. Let x(z) = 0. What is z?
2/5, 1
Let a(f) be the second derivative of -f**7/5040 + f**6/480 - f**5/120 - f**4/4 + 5*f. Let y(n) be the third derivative of a(n). Factor y(j).
-(j - 2)*(j - 1)/2
Let y(c) be the second derivative of c**7/252 - c**6/180 - c**5/120 + c**4/72 - c - 1. Factor y(d).
d**2*(d - 1)**2*(d + 1)/6
Let w(a) be the third derivative of a**5/40 + a**4/4 + a**3 - 2*a**2. Find u such that w(u) = 0.
-2
Let p(k) = k**3 + 4. Let s(t) = t**2 - t - 3. Let m(i) = 3*p(i) + 4*s(i). Factor m(c).
c*(c + 2)*(3*c - 2)
Let a(m) be the first derivative of m**7/3780 + m**6/810 - m**5/540 - m**4/54 + 4*m**3/3 - 2. Let s(f) be the third derivative of a(f). Factor s(g).
2*(g - 1)*(g + 1)*(g + 2)/9
Let a(f) be the third derivative of -f**8/560 - f**7/350 + f**6/100 + f**5/50 - f**4/40 - f**3/10 + 13*f**2. Factor a(i).
-3*(i - 1)**2*(i + 1)**3/5
Let m(r) be the first derivative of -r**3/21 + 5*r**2/7 - 25*r/7 - 34. Factor m(i).
-(i - 5)**2/7
Suppose -2*l - 2*s + 3 = 5, -4*s - 22 = -2*l. Find i such that -4/13*i - 2/13*i**5 + 2/13*i**2 - 2/13*i**4 + 0 + 6/13*i**l = 0.
-2, -1, 0, 1
Suppose 0 = 4*c, -2*q = 3*q + 3*c. Suppose i = -q*i. Factor -1/4*g + i - 1/2*g**2 - 1/4*g**3.
-g*(g + 1)**2/4
Let f be (3/(-9))/((-1)/3). Let z be (0 - 0)*f/(-2). Determine b, given that 2/5*b**3 + 0 + z*b**2 - 2/5*b = 0.
-1, 0, 1
Let q(a) = -a - 1. Let h be q(-3). Let i(o) = -2*o + 2. Let g(c) = c**2 + 3*c - 5. Let d(m) = h*g(m) + 5*i(m). Let d(v) = 0. Calculate v.
0, 2
Let b(i) be the third derivative of i**8/50400 - i**7/18900 - i**6/2700 + i**4/8 + 2*i**2. Let a(n) be the second derivative of b(n). Factor a(j).
2*j*(j - 2)*(j + 1)/15
Factor -13 - 4*q**3 + 6*q**2 + 5*q + 23 + 2*q**3 + 13*q.
-2*(q - 5)*(q + 1)**2
Let r = 504 + -18143/36. Let o(y) be the third derivative of 0 - 2*y**2 + 0*y - 1/315*y**7 - 1/60*y**6 - 1/30*y**5 + 0*y**3 - r*y**4. Factor o(z).
-2*z*(z + 1)**3/3
Let j be 7 - (1/1 + 1). Find n, given that 2*n**j + 19*n**4 - 16*n**4 - 5*n**5 = 0.
0, 1
Let k(j) be the first derivative of j**4 + 8*j**3/3 + 13. Find c, given that k(c) = 0.
-2, 0
Let a = -55 + 277/5. Suppose 0 = -12*x + 3 - 3. Factor x + 2/5*g - a*g**2.
-2*g*(g - 1)/5
Let w(d) = -d**2 + 135. Let g be w(0). Suppose -66*z**3 - g*z**4 + 345*z**3 + 81*z**5 + 40*z - 108*z**4 - 4 - 153*z**2 = 0. Calculate z.
1/3, 2/3, 1
Let l = 65 - 34. Suppose -3*q - k + 7 = -2*q, -5*q - 4*k = -l. Factor 3/4*z**5 + 0 + 7/4*z**q + 0*z - 1/2*z**2 - 2*z**4.
z**2*(z - 1)**2*(3*z - 2)/4
Let i(a) = -a**2 - 7*a + 2. Let p be i(-9). Let z be (p/18)/(2/(-24)). Find y such that -z*y**5 + 1/3*y**2 + 2*y**3 + 0*y**4 + 0 + 0*y = 0.
-1/4, 0, 1/2
Factor 0*t + 8/3*t**2 - 40/3*t**3 + 6*t**4 + 0.
2*t**2*(t - 2)*(9*t - 2)/3
Let k(w) be the second derivative of 0*w**3 + 2*w + 0*w**2 - 1/6*w**4 + 0. What is t in k(t) = 0?
0
Let r(a) be the first derivative of 0*a**2 - 2/5*a**5 + 3 + 0*a**4 - 2*a + 4/3*a**3. What is x in r(x) = 0?
-1, 1
Let d(t) = 4*t**2 + 13*t - 17. Let y(k) = 4*k**2 + 12*k - 16. Let n(h) = 4*d(h) - 3*y(h). Find m, given that n(m) = 0.
-5, 1
Let n(h) = -h**2 - 16*h - 12. Let d be n(-15). Determine l so that 4/5 + 8/5*l**2 + 2/5*l**d + 2*l = 0.
-2, -1
Let l(g) be the first derivative of g**6/18 + g**5/15 - g**4/12 - g**3/9 - 11. Factor l(z).
z**2*(z - 1)*(z + 1)**2/3
Let i(r) be the first derivative of 0*r**6 + 1 - r**3 - 1/3780*r**7 + 0*r**5 + 0*r**2 + 0*r + 0*r**4. Let g(a) be the third derivative of i(a). Factor g(c).
-2*c**3/9
Let c(s) be the first derivative of 2 + 0*s**2 + 2/3*s**3 + 0*s - 1/2*s**4. Factor c(a).
-2*a**2*(a - 1)
Suppose -162/5*r**5 + 0 - 56/5*r**2 - 8/5*r - 26/5*r**3 + 252/5*r**4 = 0. Calculate r.
-2/9, 0, 1
Let d(a) be the second derivative of a**6/10 - 9*a**5/20 + 3*a**4/4 - a**3/2 + 11*a. Factor d(y).
3*y*(y - 1)**3
Let m be 2*1/(4 + -2). Factor 5*w - m - 3*w**2 + 0 + 0 - 9*w.
-(w + 1)*(3*w + 1)
Let j(h) be the second derivative of h**7/84 + 3*h**6/20 + 11*h**