derivative of g**6/40 + g**5/10 - 3*g**4/8 - 23*g**2. Factor l(c).
3*c*(c - 1)*(c + 3)
Suppose 0*q**2 + 5*q + 0*q**2 - 6 - 2*q**2 + 3*q = 0. Calculate q.
1, 3
Let p be (-3)/6 - 7/(-2). Factor -6*a - 14*a**2 - 5 + 3 - 3*a**3 - 3*a**p - 4*a.
-2*(a + 1)**2*(3*a + 1)
Let l(f) = -f**3 - 6*f**2 + 3*f + 4. Let i(m) = m**3 + m**2 - m - 1. Let y = -4 + 8. Let k(j) = y*i(j) + l(j). Factor k(c).
c*(c - 1)*(3*c + 1)
Let s(y) = -46*y**3 + 45*y**2 + 49*y - 9. Let w(k) = 9*k**3 - 9*k**2 - 10*k + 2. Let c(l) = 2*s(l) + 11*w(l). Suppose c(x) = 0. What is x?
-1, 2/7, 2
Let r be 1 - (0 - (-3 - -5)). Let p(i) = -i**3 + 2*i**2 + 4*i - 3. Let u be p(r). Factor 1/4*a**2 + u + 0*a.
a**2/4
Let -8*p - 40/3*p**2 - 2/9*p**5 + 20/9*p**4 + 0 - 26/9*p**3 = 0. Calculate p.
-1, 0, 6
Let d(x) be the third derivative of x**8/504 - x**6/90 + x**4/36 - 3*x**2 + 6. Factor d(r).
2*r*(r - 1)**2*(r + 1)**2/3
Factor -17*h**3 - 2*h**2 + 18*h**3 + 2*h**2.
h**3
Let q be ((-16)/40)/((-1)/5). Determine o, given that -o - 5*o**2 + 6*o**q + o**3 + 0*o**2 - o**4 = 0.
-1, 0, 1
Let s(y) be the first derivative of -y**2 + 5 - 2/3*y**3 + 0*y - 1/8*y**4. Factor s(j).
-j*(j + 2)**2/2
Let h(p) = 4*p**3 - 2*p. Suppose -4*s + 13 = 1. Let n(w) = w**2 - 5*w**3 + w**s + 2*w - 5*w**3 + w. Let x(b) = -5*h(b) - 2*n(b). Determine l so that x(l) = 0.
-2, 0, 1
Let s(f) be the first derivative of f**4 + 2*f**3/3 - f**2/2 - 5*f + 7. Let g(m) = 5*m**3 + 2*m**2 - m - 6. Let b(i) = 5*g(i) - 6*s(i). Factor b(t).
t*(t - 1)**2
Suppose -144/5*o**2 + 8/5 - 76/5*o**3 - 12*o = 0. Calculate o.
-1, 2/19
Let l(y) be the third derivative of y**11/221760 - y**10/302400 - y**9/60480 - y**5/60 + 3*y**2. Let n(q) be the third derivative of l(q). Factor n(f).
f**3*(f - 1)*(3*f + 2)/2
Let i(o) = 7*o**2 - 8*o + 1. Let r(m) = m**2 - m. Let k(u) = 3*i(u) - 24*r(u). What is b in k(b) = 0?
-1, 1
Solve -133/2*v**2 + 49/4*v**3 - 6 - 41*v = 0.
-2/7, 6
Let n(v) = -v**2 + 11*v - 4. Let f be n(10). Let o(c) be the second derivative of 1/12*c**4 - 21/20*c**5 + 0 + 3/10*c**f + c**2 - c + 3/2*c**3. Factor o(y).
(y - 2)*(y - 1)*(3*y + 1)**2
Let i(w) be the second derivative of -7*w + 0*w**3 - 3/20*w**5 + 1/2*w**4 + 0*w**2 + 0. Factor i(f).
-3*f**2*(f - 2)
Let g(r) = -22*r + 289. Let b be g(13). Suppose 0*c + 1/5*c**b + 0*c**2 + 0 - 1/5*c**4 = 0. What is c?
0, 1
Let k(o) be the third derivative of 2/21*o**3 + 1/210*o**5 + 1/28*o**4 + 0 + 2*o**2 + 0*o. Factor k(n).
2*(n + 1)*(n + 2)/7
Let n = 13 - 9. Suppose 0 = -4*g + w - n, -5*w = 2*g - 0*g - 20. Factor g*u**2 - 2/5*u**3 + 0*u + 0.
-2*u**3/5
Let p = 589/780 - 1/195. Let f(a) be the first derivative of a + 1/6*a**3 - p*a**2 - 2. Factor f(s).
(s - 2)*(s - 1)/2
Suppose -3*h = -4*x - 6*h + 21, h = 3. Factor -5*w - w**4 + x*w**4 + 2*w**3 + 5*w.
2*w**3*(w + 1)
Suppose 5*l + 45 = 2*i + 16, 3*i - 31 = 5*l. Factor -i*y**4 + 0*y + 2*y**2 + 0*y - 4*y**3 + 2*y**3 + 2*y**5.
2*y**2*(y - 1)**2*(y + 1)
Let g(u) be the third derivative of -u**7/315 - u**6/90 + u**5/30 + u**4/9 - 4*u**3/9 - u**2. Find v such that g(v) = 0.
-2, 1
Suppose -r = -3*c - 15, 5*r - 36 = -c - 9. Let m be ((-2)/(-1))/((-1)/(-1)). Factor -m + 3*i**2 + 0 - 7*i**2 + r*i**2.
2*(i - 1)*(i + 1)
Let f(m) be the first derivative of -3 - 2/11*m + 0*m**2 + 2/33*m**3. Factor f(w).
2*(w - 1)*(w + 1)/11
Suppose 0 = 5*i + q + 2 - 7, -25 = -3*i - 5*q. What is g in 1/2*g - 1/2*g**3 + 0*g**2 + i = 0?
-1, 0, 1
Let c be (-4)/6 + (-166)/(-6). Suppose 3*s = 27 + c. Factor -4*p - 2*p**5 - p**2 - 10*p**4 - s*p**3 - 11*p**2 - 2*p**2.
-2*p*(p + 1)**3*(p + 2)
Let c(z) be the third derivative of -1/18*z**4 - 11/90*z**5 - 19/180*z**6 + 0 + 0*z**3 + 0*z - 13/315*z**7 + 2*z**2 - 1/168*z**8. Find j, given that c(j) = 0.
-2, -1, -1/3, 0
Let 15*w**3 - 7*w**2 - 5*w**5 + 0*w**2 - 3*w**2 = 0. Calculate w.
-2, 0, 1
Let a = -16 + 18. What is d in 6*d**a - 4*d**2 + d + 3*d + 2 = 0?
-1
Suppose 5 + 5 = 5*b. Let v = 4 + 0. What is t in -1 + 6*t - v - b*t**2 + 1 = 0?
1, 2
Let c(v) be the first derivative of 2*v**2 + 0*v - 2/3*v**3 - 3/4*v**4 - 1 - 2/15*v**5. Let a(x) be the second derivative of c(x). Factor a(d).
-2*(d + 2)*(4*d + 1)
Let v be (-4)/54*(-13 - -1). Let d = -1 - -3. Factor -8/9 + v*f - 2/9*f**d.
-2*(f - 2)**2/9
Let q = -1 + 3. Let d = q - -1. Let -10*p**3 + 14*p**2 - 2*p**d - 2*p - 6 + 5*p + 4*p**2 + 9*p**5 - 12*p**4 = 0. Calculate p.
-1, -2/3, 1
Let w(v) be the first derivative of -12/5*v**2 + 1/5*v**3 + 48/5*v - 2. Factor w(q).
3*(q - 4)**2/5
Suppose d + 3 = 5. Suppose d*r = -4*x + 22, -3*r + 6*r = -3*x + 24. Factor 0*y - 1/2*y**4 - y**x + 0 - 1/2*y**2.
-y**2*(y + 1)**2/2
Let q(f) = f**3 - 8*f**2 + 8*f - 3. Let j be q(7). Let o be 2 - ((-2)/(-2) - j). Find k, given that 2 - 4*k**3 + k - o*k**3 + 5*k**3 + k**3 - 4*k**2 = 0.
-1, 2/3
Let a(p) = -p**2 + 4*p + 2. Let j be a(4). Let -16*h**j - 7*h - h + 0*h - 1 = 0. What is h?
-1/4
Let u(c) = -2*c - 14. Let z be u(-8). Let r = 1 + z. Determine b, given that 0*b + 0 - 2/5*b**5 - 4/5*b**4 - 2/5*b**r + 0*b**2 = 0.
-1, 0
Suppose 37*j + 8 = 41*j. Factor 1/2*c**3 - 1/4*c + 0*c**j + 0 + 0*c**4 - 1/4*c**5.
-c*(c - 1)**2*(c + 1)**2/4
Let j(z) = 4*z**4 - 47*z**3 + 107*z**2. Let y(x) = 2*x**4 - 24*x**3 + 54*x**2. Let c(f) = 4*j(f) - 7*y(f). Solve c(p) = 0.
0, 5
Suppose 2*n = 7*n + 6*n. Factor n*u**2 + 3/4*u**3 - 3/4*u + 0.
3*u*(u - 1)*(u + 1)/4
Let y be (2/(-3))/((-4)/18). Suppose 2*f = 12 + 4. Factor -7 - 8*l**2 + 3 + f*l + 2*l**y + 2*l.
2*(l - 2)*(l - 1)**2
Let q(x) be the third derivative of x**8/840 + x**7/420 + x**3/3 - 2*x**2. Let w(p) be the first derivative of q(p). Solve w(i) = 0 for i.
-1, 0
Let s(c) be the second derivative of c**5/50 - 2*c**4/15 + c**3/5 + 39*c. Factor s(r).
2*r*(r - 3)*(r - 1)/5
Let q(y) be the second derivative of -y**6/15 + 2*y**5/5 - 5*y**4/6 + 2*y**3/3 - 3*y. Determine z, given that q(z) = 0.
0, 1, 2
Let f(v) be the first derivative of -v**3/12 - v**2/2 + 6. Factor f(b).
-b*(b + 4)/4
Let j(r) = -r**3 - r**2 + 3*r + 2. Let w be j(-2). Let o = 0 - w. Suppose 0*n**2 - 1/4*n**3 + 0*n - 1/4*n**4 + o = 0. What is n?
-1, 0
Let a = 10 - 7. Solve -9*g + 1 + 3 + 3*g**a - 10 = 0.
-1, 2
Suppose 9/4*c - 3/2*c**3 - 3/4 + 9/4*c**4 - 3/2*c**2 - 3/4*c**5 = 0. What is c?
-1, 1
Solve -7*i**2 - 20*i**2 - 9*i - 6*i - 12 - 21*i = 0.
-2/3
Let a be (-4)/(-14) - (-16)/49. Let t = 836/245 - a. Solve t*f**4 - 2*f**5 - 14/5*f**2 + 4/5*f + 6/5*f**3 + 0 = 0 for f.
-1, 0, 2/5, 1
Let l = 233 - 230. Factor -3*q - 1/4*q**l + 2 + 3/2*q**2.
-(q - 2)**3/4
Factor -v**2 + 0 + 0*v**3 + 1/2*v - 1/2*v**5 + v**4.
-v*(v - 1)**3*(v + 1)/2
Let i(z) be the third derivative of 1/24*z**4 + 0 + 2*z**2 + 1/630*z**7 - 1/9*z**3 + 0*z + 1/180*z**5 - 1/120*z**6. Factor i(a).
(a - 2)*(a - 1)**2*(a + 1)/3
Let l(b) be the second derivative of -b**10/181440 - b**9/90720 + b**8/40320 + b**7/15120 - b**4/6 + 6*b. Let r(n) be the third derivative of l(n). Factor r(k).
-k**2*(k - 1)*(k + 1)**2/6
Let g(w) be the first derivative of w**4/16 + w**3/6 - w**2/2 - 2*w + 10. Factor g(r).
(r - 2)*(r + 2)**2/4
Let h = -8 - -12. Suppose 4*s + h = 12. Suppose 0 - s*i + 2*i**4 + 1/2*i**5 - 2*i**2 + 3/2*i**3 = 0. What is i?
-2, -1, 0, 1
Let o(b) = b**3 + 7*b**2 - 16*b + 22. Let p be o(-9). What is i in 0*i + 0*i**2 + 4/7*i**p + 0 - 2/7*i**5 - 2/7*i**3 = 0?
0, 1
Let n(j) be the first derivative of -j**6/30 - j**5/20 + 3*j - 3. Let s(r) be the first derivative of n(r). Factor s(o).
-o**3*(o + 1)
Let k(h) be the second derivative of -h**7/1260 - h**6/120 - h**5/30 + h**4/4 + 2*h. Let q(j) be the third derivative of k(j). Factor q(s).
-2*(s + 1)*(s + 2)
Let s(t) be the third derivative of -t**4/24 - 2*t**2. Let k be s(-3). What is w in -5*w**4 + 7*w**5 + w**2 - 3*w**k - 4*w**5 + 2*w**2 + 2*w**4 = 0?
-1, 0, 1
Let v(s) be the third derivative of -4*s**2 + 0*s - 1/30*s**5 - 1/3*s**3 + 1/6*s**4 + 0. Factor v(d).
-2*(d - 1)**2
Let h(m) = -2*m**2 - 3*m + 3. Let x(y) = -y + 1. Let k(s) = -h(s) + 3*x(s). Solve k(f) = 0 for f.
0
Suppose 4*l - 4*n - 16 = -2*n, -5*n = -2*l. Suppose -2*i + i = -2*b, -3*i = l*b - 22. What is y in -4*y**b - 2*y + 2*y**3 + 0*y**3 - 4*y**3 = 0?
-1, 0
Let s(r) = -r**2 - r. Let c(l) = -6*l**2 + 9*l - 13. Let w(y) = c(y) - 5*s(y). Suppose w(q) = 0. Calculate q.
1, 13
Let y(i) = 4*i**2 + 11*i - 3. Let r be y(-3). Find m, given that -3/4*m**5 + 0 + r*m**2 + 0*m