(f) = f**3 - f**2 + 2. Let x be g(2). Let a(z) = 2*z**3 + z - 3. Let t(m) = m**3 + m - 2. Let c(v) = x*t(v) - 4*a(v). Factor c(b).
-2*b*(b - 1)*(b + 1)
Let p(h) = -h + 5. Let j be p(3). Suppose -j*g + 5*d = 3*g, -d - 4 = -3*g. Factor 3*t**g - 4*t**2 + t**4 + 0*t**4.
t**2*(t - 1)*(t + 1)
Solve 0 + 1/5*s**4 + 2/5*s - 2/5*s**3 - 1/5*s**2 = 0 for s.
-1, 0, 1, 2
Let j(w) be the first derivative of 2*w**3/3 - 2*w**2 - 16*w + 1. Let j(o) = 0. What is o?
-2, 4
Let x be (-29)/(-90) + (-4)/18. Let m(l) be the third derivative of 0*l - 1/6*l**4 + x*l**5 - l**2 + 1/210*l**7 + 1/6*l**3 + 0 - 1/30*l**6. Factor m(p).
(p - 1)**4
Suppose -1/2*f**2 + 1 - 1/2*f = 0. Calculate f.
-2, 1
Let n(g) = 5*g**2 - 5*g - 4. Let y(x) = 9*x**2 - 10*x - 9. Let f(a) = 7*n(a) - 4*y(a). Let o be f(6). Suppose -o*m**2 - 2*m + 2*m**3 + 2*m = 0. Calculate m.
0, 1
Let u(i) be the second derivative of i**7/84 - i**6/15 + 3*i**5/20 - i**4/6 + i**3/12 + 13*i. Factor u(w).
w*(w - 1)**4/2
Let n(d) be the second derivative of -d**6/40 + 2*d**5/15 - d**4/8 - d**3/3 + 4*d**2 - 7*d. Let z(a) be the first derivative of n(a). Let z(l) = 0. What is l?
-1/3, 1, 2
Let c(v) be the third derivative of -v**8/112 + 3*v**7/70 - v**6/20 - v**5/10 + 3*v**4/8 - v**3/2 + v**2. Suppose c(q) = 0. What is q?
-1, 1
Find z, given that 5 - 2*z + z**2 - 3 - 1 = 0.
1
Let p(l) be the second derivative of -2*l**4/27 - l**3/27 + 3*l. Factor p(z).
-2*z*(4*z + 1)/9
Suppose -2*b - 10 = 4*m, 15*b = -2*m + 13*b - 10. Determine r so that 0*r + 0*r**2 + m - 4/5*r**3 - 2*r**4 = 0.
-2/5, 0
Let d be (-17)/(-8) + 1/(-8). Find m, given that 2/5*m**3 - 4/5*m**d + 2/5*m + 0 = 0.
0, 1
Factor -2004 + 0*a**3 + 2*a**4 + 8*a**2 - 8*a**3 + 2004.
2*a**2*(a - 2)**2
Factor 0 + 8/7*f**4 - 8/7*f**2 - 4/7*f**5 + 4/7*f + 0*f**3.
-4*f*(f - 1)**3*(f + 1)/7
Let i(p) be the second derivative of -p**4/78 - p**3/39 + 30*p. Determine s, given that i(s) = 0.
-1, 0
Factor -6/11*l + 1/11*l**2 - 7/11.
(l - 7)*(l + 1)/11
Let p(n) be the third derivative of -n**6/15 + n**5/5 - 2*n**3/3 + 11*n**2. Find r such that p(r) = 0.
-1/2, 1
Let p(u) = -5*u**2 - 14*u + 10. Let a(y) = -y + 1. Let h(o) = -2*o + 2. Let v(m) = 3*a(m) - 2*h(m). Let r(g) = p(g) + 6*v(g). Factor r(t).
-(t + 2)*(5*t - 2)
Let k be (-7)/(-2) + (-9)/(-18). Let v(l) be the first derivative of 0*l**2 + 1 - 1/5*l**k + 0*l + 0*l**3 + 1/3*l**6 - 6/25*l**5. Factor v(a).
2*a**3*(a - 1)*(5*a + 2)/5
Let m be 80/40*(-2)/(-4)*2. Suppose -2/7*x**3 - 16/7*x - 10/7*x**m - 8/7 = 0. Calculate x.
-2, -1
Let b(d) be the third derivative of d**7/11340 - d**6/3240 - d**4/4 + 2*d**2. Let h(k) be the second derivative of b(k). Factor h(p).
2*p*(p - 1)/9
Suppose -2*x + x = -3. Suppose -x*d + 6 = -0. Factor -2*p**4 + 8*p - 6*p**3 - d*p**2 + 2*p**2.
-2*p*(p - 1)*(p + 2)**2
Factor -512/13 + 64/13*z - 2/13*z**2.
-2*(z - 16)**2/13
Factor 0 - 1/4*b**2 + 0*b + 1/4*b**4 - 1/4*b**5 + 1/4*b**3.
-b**2*(b - 1)**2*(b + 1)/4
Solve -8/5*q + 12/5 + 1/5*q**2 = 0.
2, 6
Let c = -7 - -4. Let a(n) = -2 + 4*n**3 + 4 - 2*n**3. Let x(u) = 5*u**3 + u**2 + u + 5. Let f(w) = c*x(w) + 7*a(w). Factor f(t).
-(t + 1)**3
Suppose 5*w - 18 = -8. Factor -1/2*n**4 + 0*n + 1/2*n**w + 1/2*n**5 - 1/2*n**3 + 0.
n**2*(n - 1)**2*(n + 1)/2
Let v(z) be the first derivative of 2*z**3/3 - 12*z**2/5 + 8*z/5 - 19. Factor v(i).
2*(i - 2)*(5*i - 2)/5
Let k be (4 + 65/(-15))*3*0. Let l be ((-1)/2)/(10/(-4)). Suppose -l*o**2 + k*o - 1/5*o**3 + 0 = 0. What is o?
-1, 0
Let r = 209/2 + -104. Factor 0 + r*n - 1/2*n**2.
-n*(n - 1)/2
Let b = 295921/39 - 7587. Let t = b + -5/13. Factor t*a**2 - 1/3 + 1/3*a - 1/3*a**3.
-(a - 1)**2*(a + 1)/3
Let f(z) be the second derivative of z**7/420 - z**6/90 - z**5/60 + z**4/6 - z**3/6 - 4*z. Let t(c) be the second derivative of f(c). Factor t(w).
2*(w - 2)*(w - 1)*(w + 1)
Let h be 1*3/6*4. Find v, given that 2*v**h - 14*v**4 - 3*v**5 - 3*v**5 - 6*v**3 + 4*v + 4*v**2 = 0.
-1, 0, 2/3
Let r = 23 + -19. Factor -8*x + 7*x - 3*x - 3*x**2 + r.
-(x + 2)*(3*x - 2)
Let p(j) be the third derivative of j**8/4200 - j**6/900 - j**3/2 - j**2. Let b(m) be the first derivative of p(m). Determine q so that b(q) = 0.
-1, 0, 1
Let y(u) = 5*u**2 - 11*u - 7. Let o(x) = 3*x**2 - 6*x - 4. Let b(l) = -7*o(l) + 4*y(l). Factor b(a).
-a*(a + 2)
Let o(l) be the third derivative of -l**7/630 - l**6/120 + l**5/180 + l**4/24 + 8*l**2. Find y, given that o(y) = 0.
-3, -1, 0, 1
Solve 24/5 + 36/5*u + 3/5*u**3 + 18/5*u**2 = 0.
-2
Let w(k) be the second derivative of -4/21*k**3 + 0 - k - 4/7*k**2 - 1/42*k**4. Determine a, given that w(a) = 0.
-2
Let h(d) be the second derivative of d**9/30240 - d**8/8960 + d**6/2880 - d**4/3 + 2*d. Let j(t) be the third derivative of h(t). Find i, given that j(i) = 0.
-1/2, 0, 1
Let i(l) be the third derivative of 0*l**4 + 0*l**3 + 1/168*l**8 + 0*l - 2*l**2 + 0 + 1/35*l**7 - 2/15*l**5 + 0*l**6. Factor i(w).
2*w**2*(w - 1)*(w + 2)**2
Let k = -1287/7 + 59391/322. Let j = k + -2/23. Determine d, given that j - 1/4*d - d**2 + 3/4*d**3 = 0.
-2/3, 1
Let m(j) be the first derivative of -j**6/120 - j**5/120 + j**4/48 + 5*j**2/2 - 4. Let u(b) be the second derivative of m(b). Factor u(y).
-y*(y + 1)*(2*y - 1)/2
Let m be (-8)/(-10)*(3 + -2). Let y = m - 11/20. Factor 0*v - y*v**3 + 0*v**2 - 1/4*v**5 + 0 + 1/2*v**4.
-v**3*(v - 1)**2/4
Let u(k) be the third derivative of k**7/42 + 5*k**6/24 + 2*k**5/3 + 5*k**4/6 + 2*k**2. Solve u(n) = 0.
-2, -1, 0
Let j(i) be the first derivative of -3/5*i**5 + 0*i**2 + 2*i**3 - 3 - 3/4*i**4 + 0*i. Solve j(c) = 0 for c.
-2, 0, 1
Let x be (2 - 70/24)/(-1). Let y = x - 1/4. Find g, given that -4/9 - y*g + 2/9*g**3 + 0*g**2 = 0.
-1, 2
Let p(b) be the second derivative of -b**4/4 - b**3 + 9*b**2/2 + 17*b. Let p(m) = 0. What is m?
-3, 1
Let p = 105 + -101. Factor 0*g + 0 - 2/7*g**p + 0*g**2 + 2/7*g**3.
-2*g**3*(g - 1)/7
Let v(a) be the first derivative of 4/7*a**3 - 12/7*a**2 - 1/14*a**4 - 1 + 16/7*a. Let v(u) = 0. What is u?
2
Let d(a) be the third derivative of a**8/6720 + a**7/2520 - a**4/12 - a**2. Let f(h) be the second derivative of d(h). Solve f(k) = 0.
-1, 0
Let i(g) be the first derivative of g**8/1680 + g**7/840 - g**6/120 - g**5/120 + g**4/12 - 2*g**3/3 + 3. Let z(n) be the third derivative of i(n). Factor z(x).
(x - 1)**2*(x + 1)*(x + 2)
Factor h**3 + 0*h + 0*h**2 + 0 + 3/2*h**4 + 1/2*h**5.
h**3*(h + 1)*(h + 2)/2
Let d(b) be the third derivative of -1/18*b**4 + 0*b**3 + 0*b - 1/15*b**5 + 0 - 3*b**2 + 1/126*b**7 - 1/120*b**6. Factor d(f).
f*(f - 2)*(f + 1)*(5*f + 2)/3
Let b(i) = -2*i - 4. Let h be b(7). Let n be 12/h*(-8 - -2). Factor 14/3*z - 8/3*z**n - 10*z**2 - 2/3 + 26/3*z**3.
-2*(z - 1)**3*(4*z - 1)/3
Let p = -4/57 + 31/171. Let k(z) be the third derivative of 0*z - 1/40*z**6 + p*z**4 + 0 + 2/9*z**3 - 1/60*z**5 + 2*z**2. Factor k(x).
-(x - 1)*(3*x + 2)**2/3
Let k(w) be the second derivative of 7*w**5/80 + 5*w**4/8 + 3*w**3/2 + w**2 - 6*w. Suppose k(h) = 0. Calculate h.
-2, -2/7
Let h(z) be the second derivative of -z**7/70 + z**5/20 + z**2 - 4*z. Let g(q) be the first derivative of h(q). Factor g(b).
-3*b**2*(b - 1)*(b + 1)
Let b(l) be the third derivative of -l**8/1008 + l**7/315 + l**6/180 - 2*l**5/45 + 7*l**4/72 - l**3/9 - l**2. Determine p so that b(p) = 0.
-2, 1
Let j = 4 + -1. Let t(v) = v**4 + 5*v**3 + 6*v**2 - 7*v + 4. Let a(b) = -b**4 - b**3 - b. Let h(f) = j*a(f) + t(f). Let h(k) = 0. What is k?
-2, 1
Let j(x) be the first derivative of x**4/16 + 3*x**3/8 + x - 4. Let n(m) be the first derivative of j(m). Factor n(c).
3*c*(c + 3)/4
Let d(a) be the second derivative of -2*a**7/147 - 2*a**6/21 - 8*a**5/35 - 4*a**4/21 + 7*a. Suppose d(z) = 0. What is z?
-2, -1, 0
Let m(k) be the third derivative of 3*k**7/245 + k**6/14 + k**5/70 - 3*k**4/14 - 2*k**2 + 17*k. Let m(z) = 0. Calculate z.
-3, -1, 0, 2/3
Let t be ((-8)/2)/(3/(-6)). Let v = t - 5. Factor v*l + l**3 + 6*l**2 + 6*l**3 - 4*l**3.
3*l*(l + 1)**2
Let o(z) be the first derivative of 2*z**5/15 - z**4/6 - 8*z**3/9 + 4*z**2/3 + 12. Factor o(l).
2*l*(l - 2)*(l - 1)*(l + 2)/3
Determine h so that -196*h - 4/3*h**3 + 1372/3 + 28*h**2 = 0.
7
Let u(w) be the first derivative of 2*w**4 + 0*w**3 - 4/5*w**5 + 0*w**2 + 0*w + 2. Determine l so that u(l) = 0.
0, 2
Let p(c) be the first derivative of -c**8/840 - c**7/175 + 2*c**5/75 + 5*c**2 + 3. Let r(i) be