 0*q**3 - 6/7*q**2.
2*q*(q - 2)*(q + 1)**2/7
Suppose -27 = -c - 23. Let i(d) be the second derivative of 3*d - 1/12*d**3 - 1/48*d**c - 1/8*d**2 + 0. Suppose i(u) = 0. Calculate u.
-1
Let r(m) be the second derivative of -m**4/42 + m**3/21 + 2*m**2/7 - 13*m. Determine t so that r(t) = 0.
-1, 2
Let n(d) be the second derivative of 0 + 2/5*d**2 - 2*d + 1/60*d**4 - 2/15*d**3. Factor n(u).
(u - 2)**2/5
Solve 6*x**5 + 33/2*x**4 + 3/2*x**3 + 3 - 15/2*x - 39/2*x**2 = 0.
-2, -1, 1/4, 1
What is z in z**4 + 9*z**3 - 11*z**4 + 5*z**5 - 4*z**3 = 0?
0, 1
Let t(g) be the third derivative of -g**6/24 + 11*g**5/36 + 5*g**4/18 - 3*g**2. What is r in t(r) = 0?
-1/3, 0, 4
Let i(v) = 4*v**2 - v - 2. Let y be i(2). Suppose 4*s - y = s. Factor 3*z**3 - 6*z**3 + 4*z**s + z**3 - 2*z**5.
-2*z**3*(z - 1)**2
Let m = -97/3 - -33. Solve 4/3*x**3 + m*x**2 + 0 + 2/3*x**4 + 0*x = 0 for x.
-1, 0
Let r(f) = f**3 + 2*f**2 + 2. Let c be r(-2). Suppose 0*u**2 - u**c + 10*u - 8*u = 0. Calculate u.
0, 2
Solve -64 + 4411*v**2 - 173460*v**4 - 11198*v**2 - 7257*v**2 - 1988*v**2 - 154350*v**5 - 1632*v - 75824*v**3 = 0.
-2/7, -2/15
Let k(w) be the second derivative of 0*w**2 - 1/6*w**3 - 4*w + 0 + 1/4*w**4. Factor k(m).
m*(3*m - 1)
Let i(w) = 10*w**3 - 55*w**2 + 70*w - 35. Let b(l) = -5*l**3 + 28*l**2 - 35*l + 18. Let q(y) = -5*b(y) - 3*i(y). Suppose q(j) = 0. Calculate j.
1, 3
Suppose 0*y - 3*t - 5 = -y, 4*y + 5*t = -65. Let f = y - -16. Suppose 14/3*z**3 + 0 + 4/3*z - f*z**2 = 0. What is z?
0, 2/7, 1
Let w(b) = b**4 + 2*b**3 - 6*b**2 - 2*b + 5. Let r(l) = l**4 + 5*l**3 - 12*l**2 - 5*l + 11. Let j(z) = -2*r(z) + 5*w(z). Factor j(q).
3*(q - 1)**2*(q + 1)**2
Factor -14 + 8 - 2*w + 6 + 5*w**2.
w*(5*w - 2)
Let u(q) be the second derivative of 0 - 1/2*q**2 - 1/4*q**3 + 5/24*q**4 - 3*q. Solve u(v) = 0 for v.
-2/5, 1
Let h = 13 - 25. Let d(a) = 4*a**3 + 8*a**2 + 5. Let m(s) = 10*s**3 + 20*s**2 + 12. Let o(v) = h*d(v) + 5*m(v). Factor o(w).
2*w**2*(w + 2)
Let y = 3 + -1. Factor -8*c**y + 1 + 6*c**2 - 1 + 7*c**3.
c**2*(7*c - 2)
Let l(a) be the first derivative of -2*a**5/25 - 7*a**4/5 - 98*a**3/15 + 54. Factor l(j).
-2*j**2*(j + 7)**2/5
Let a(g) = g**3 + 15*g**2 + 13*g - 11. Let k be a(-14). Factor -1/5*y**k + 0*y**2 + 3/5*y + 2/5.
-(y - 2)*(y + 1)**2/5
Let l(f) = -3*f**4 + 2*f**3 - 27*f**2 + 4*f. Suppose 4*j = -4*p + j - 8, -10 = 5*p - 4*j. Let h(m) = -m**3 - m**2. Let o(g) = p*l(g) + 22*h(g). Factor o(u).
2*u*(u - 2)**2*(3*u - 1)
Let f be (-10)/(-12) + 12/(-72). Let 0*p - f*p**4 + 4/3*p**2 - 2/3 + 0*p**3 = 0. What is p?
-1, 1
Let h(l) = -4*l**2 - 5*l - 4. Let a be h(-2). Let i = a + 10. Factor 0 - 1/4*k**4 + 1/4*k**2 + 0*k + i*k**3.
-k**2*(k - 1)*(k + 1)/4
Suppose 2*k - 12 = -2*k. Let w(t) be the third derivative of -1/20*t**5 - 1/8*t**4 + 0 + 0*t - 1/6*t**k - 1/120*t**6 - t**2. What is f in w(f) = 0?
-1
Let c be ((-1020)/16)/17*1/(-5). Solve -5/4*g**4 + 0 - g + 3*g**2 - c*g**3 = 0 for g.
-2, 0, 2/5, 1
Let r = 1 - 9. Let m(t) = -t**2 - 7*t + 10. Let n be m(r). Factor -4/7 + n*x**2 + 10/7*x.
2*(x + 1)*(7*x - 2)/7
Let w(o) be the second derivative of -o**4/9 - 2*o**3/9 + 4*o**2/3 - 8*o. Factor w(x).
-4*(x - 1)*(x + 2)/3
Factor 49*d**2 - 57*d**2 + 4*d - 20*d**3 + 16*d + 8.
-4*(d - 1)*(d + 1)*(5*d + 2)
Let w(m) be the third derivative of 0*m + 1/30*m**5 - 2/3*m**3 - m**2 + 1/12*m**4 + 0. What is j in w(j) = 0?
-2, 1
Determine y, given that -1/4*y**3 - 1/4*y**5 + 0*y + 0*y**2 + 0 + 1/2*y**4 = 0.
0, 1
Let c(d) = 6*d**3 + d**2. Let m be c(-1). Let p(a) = a**2 + 3*a - 7. Let f be p(m). Factor -v - v**f - v**3 + 5*v**3 - 2*v**3.
v*(v - 1)*(v + 1)
Let g be 1 + 60/(-261) + 0. Let s = -3/29 + g. Factor 0 + 0*u - s*u**2.
-2*u**2/3
Let h = -31/24 + 11/8. Let i(l) be the second derivative of 0*l**2 + 0*l**3 + 0 + h*l**4 - 2*l. Solve i(b) = 0 for b.
0
Let j(t) be the second derivative of -t**5/90 + t**3/9 - t**2/2 + 2*t. Let v(c) be the first derivative of j(c). Factor v(z).
-2*(z - 1)*(z + 1)/3
Let w(t) = -t + 11. Let j be w(10). Let i(x) be the first derivative of 0*x**3 + j + 0*x - 1/4*x**4 + 1/2*x**2. Factor i(k).
-k*(k - 1)*(k + 1)
Let q be 3 + 31/(-11) + 280/154. Factor n - 1/3 - n**q + 1/3*n**3.
(n - 1)**3/3
Let r(y) = -5*y**2 - y - 3. Let g be 1/6 - 51/(-18). Let n(w) = 6*w**2 + 4. Let t(z) = g*n(z) + 4*r(z). Factor t(f).
-2*f*(f + 2)
Let g(l) be the third derivative of -1/9*l**3 + l**2 - 1/36*l**4 + 0*l + 1/180*l**6 + 0 + 1/90*l**5. Determine d so that g(d) = 0.
-1, 1
Let n(z) = -14*z**2 - 3 - 2*z**3 - 17*z - z**2 - 1. Let r(d) = 2 + 8*d - d**2 + d + d**3 + 9*d**2. Let o(p) = -4*n(p) - 7*r(p). Factor o(a).
(a + 1)**2*(a + 2)
Let k = -39 + 353/9. Factor -2/9*g**2 + k + 0*g.
-2*(g - 1)*(g + 1)/9
Let t(z) = -151*z**2 + 140*z + 11. Let d(o) = 38*o**2 - 35*o - 3. Let f(w) = 9*d(w) + 2*t(w). Factor f(r).
5*(r - 1)*(8*r + 1)
Let f(w) be the second derivative of w**5/170 + 5*w**4/102 - 13*w**3/51 + 7*w**2/17 - 6*w. Find o, given that f(o) = 0.
-7, 1
Suppose -3*g = -0 + 6, 2*g = -b - 4. Let d(l) be the second derivative of -1/3*l**2 + 2*l + b + 2/9*l**3 - 1/18*l**4. Factor d(o).
-2*(o - 1)**2/3
Let q(r) = -r**3 - 1. Let d(a) = 0*a**2 + 2*a**2 + 0*a**2 - 1 - 8 - 8*a**3. Let b(j) = -2*d(j) + 18*q(j). What is v in b(v) = 0?
-2, 0
Let p be (-1 - -1)/(1 - 0). Factor p + 1/2*x**4 + 1/2*x**3 + 0*x - 1/2*x**2 - 1/2*x**5.
-x**2*(x - 1)**2*(x + 1)/2
Let n(u) be the second derivative of u**7/147 - 2*u**5/35 - u**4/21 + u**3/7 + 2*u**2/7 + 6*u. Factor n(o).
2*(o - 2)*(o - 1)*(o + 1)**3/7
Let n(z) = -z**2 - z + 1. Let i = 5 + -3. Let u(w) = -7*w**2 - 14*w - 2. Let a(c) = i*n(c) - u(c). Let a(j) = 0. What is j?
-2, -2/5
Let s(f) = 10*f - 36. Let z be s(4). Factor 2/3*g**2 + 6 - z*g.
2*(g - 3)**2/3
Let w be (3/(-9)*-3)/(3/6). What is c in -1/2*c + 3/4*c**w + 0 - 1/4*c**3 = 0?
0, 1, 2
Let a(y) = y**2 + 8*y - 6. Let m be a(-9). Let i(h) be the first derivative of 1 + 0*h + 5/3*h**m - h**2. Factor i(t).
t*(5*t - 2)
Let h be (16/24)/((-1)/(-3)). Let k(x) be the second derivative of x**3 - 3/10*x**5 + 1/6*x**4 + h*x - x**2 + 0. Factor k(z).
-2*(z - 1)*(z + 1)*(3*z - 1)
Let n(p) = -10*p**2 + 10*p + 4. Let v(l) = 31*l**2 - 30*l - 12. Let r(d) = 11*n(d) + 4*v(d). Let r(o) = 0. What is o?
-2/7, 1
Let f(v) be the third derivative of v**7/2100 + v**6/900 - v**5/300 - v**4/60 - v**3 + 3*v**2. Let y(m) be the first derivative of f(m). Solve y(a) = 0 for a.
-1, 1
Let j(p) be the first derivative of p**6/15 - 6*p**5/25 + p**4/5 + 4*p**3/15 - 3*p**2/5 + 2*p/5 - 21. Let j(d) = 0. What is d?
-1, 1
Let f(a) = -10*a**2 + a - 6. Let g(x) = -x**2. Let j(s) = -2*f(s) + 22*g(s). Factor j(d).
-2*(d - 2)*(d + 3)
Factor 0*j + 0*j**2 + 0*j**3 - 1/3*j**4 + 0.
-j**4/3
Suppose -3*u = -f + 2, -u + 4*u = -f + 8. Suppose f - 1 = 2*d. Factor -4*l**d + 3 - 2*l**5 + 2*l**4 + 0*l**3 + 4*l**3 - 2*l - 1.
-2*(l - 1)**3*(l + 1)**2
Determine g, given that -8/7*g**3 - 12/7*g**2 + 8/7*g**4 + 4/7 + 2/7*g + 6/7*g**5 = 0.
-1, 2/3, 1
Determine m, given that 0 + 1/5*m**3 + 0*m + 1/5*m**2 = 0.
-1, 0
Let k(f) be the third derivative of -f**6/480 + f**5/240 + f**4/96 - f**3/24 + 2*f**2. Factor k(h).
-(h - 1)**2*(h + 1)/4
Let c(l) be the third derivative of -l**7/210 + l**6/120 + 6*l**2. Suppose c(x) = 0. Calculate x.
0, 1
Let p be 2/5 + 184/40. Let u(h) be the third derivative of 1/300*h**6 + 0*h - 2*h**2 + 0 + 0*h**p - 1/60*h**4 + 0*h**3. Factor u(d).
2*d*(d - 1)*(d + 1)/5
Let b(x) be the second derivative of 2*x + 1/10*x**5 - 1/4*x**2 - 1/3*x**3 + 0 - 1/12*x**4 + 1/20*x**6. What is m in b(m) = 0?
-1, -1/3, 1
Suppose -2*k = 3*c + 22 - 20, 5 = 3*c - 5*k. Factor x - 1/3*x**3 - 2/3 + c*x**2.
-(x - 1)**2*(x + 2)/3
Let h(g) be the first derivative of 4 + 1/10*g**5 + g**2 + g**3 + 1/2*g**4 + 1/2*g. Factor h(w).
(w + 1)**4/2
Let y be (-7)/14 + (-10)/(-12). Let l(q) be the second derivative of -1/60*q**6 + 2*q - y*q**4 + 0 - 1/8*q**5 + 0*q**2 - 1/3*q**3. Determine j so that l(j) = 0.
-2, -1, 0
Let d(o) be the second derivative of o**6/15 + o**5/5 - o**4/6 - 2*o**3/3 - 2*o. Determine v so that d(v) = 0.
-2, -1, 0, 1
Let x be (-5)/(-35)*2*7. Determine c, given that 2/7 - 4/7*c + 2/7*c**x = 0.
1
Let m(w) be the first derivative of w**6/360 - w**5/60 + w**4/24 - 2*w**3/3 - 2. Let l(b) be the third derivative of m(b). Factor l(x).
(x - 1)**2
Let y(x) = -x**3 - 4*x**2 - 2*x + 4. Let 