l**3.
-2*l**3*(4*l - 1)
Let v(d) be the second derivative of -2*d**7/21 + 4*d**6/15 + 3*d**5/5 + d. Let v(q) = 0. Calculate q.
-1, 0, 3
Let a(j) be the third derivative of -j**5/48 - 25*j**4/48 - 125*j**3/24 - 13*j**2. Factor a(r).
-5*(r + 5)**2/4
Let c(o) = -3*o + 7. Let i be c(-5). Let a = i - 22. Determine q, given that -7/3*q**2 + 4/3 + a*q - q**3 = 0.
-2, -1, 2/3
Suppose 3*l = -q + 11, 2*q + l = 5 + 2. Solve -3*n**4 - 11*n**4 + n**2 + 3*n**q - 10*n**3 = 0 for n.
-1, 0, 2/7
Let j(s) = s**4 + s**2 + s - 1. Let a(u) = -8*u**4 + 9*u**3 - 10*u**2 - 6*u + 6. Let w(n) = a(n) + 6*j(n). Factor w(c).
-c**2*(c - 4)*(2*c - 1)
Let l(j) = 5*j**4 + 19*j**3 + 3*j**2 - 19*j - 13. Let b(o) = -3*o**4 - 10*o**3 - o**2 + 10*o + 6. Let d(x) = 10*b(x) + 4*l(x). Let d(i) = 0. Calculate i.
-2, -1, -2/5, 1
Let g = 119 - 119. Suppose 4/3*y**3 + g*y**2 + 14/3*y**4 + 0 + 0*y - 6*y**5 = 0. Calculate y.
-2/9, 0, 1
Let v = 11 - 6. Suppose -o = -v*n - 5, 5*o = -5*n + 3*n + 25. Factor -w**5 - 3*w**o + 2*w**5.
-2*w**5
Let j(y) = y**3 + 2*y**2 - y + 2. Let l(r) = r**2. Let k(g) = j(g) - 4*l(g). Let k(b) = 0. What is b?
-1, 1, 2
Let g(l) be the first derivative of -l**4/10 + 2*l**3/15 + l**2/5 - 2*l/5 - 10. Factor g(c).
-2*(c - 1)**2*(c + 1)/5
Let j(q) be the first derivative of 0*q + 0*q**5 + 0*q**2 + 0*q**3 - 3 + 1/12*q**4 - 1/18*q**6. Suppose j(n) = 0. Calculate n.
-1, 0, 1
Solve 1/2*f**2 + 0*f + 0 + 1/2*f**3 = 0 for f.
-1, 0
Let v(q) be the third derivative of 5/8*q**4 - 1/2*q**3 - 1/14*q**7 + 0*q - 2*q**2 + 1/4*q**6 + 0 + 1/112*q**8 - 1/2*q**5. Determine p so that v(p) = 0.
1
Suppose 4*g = 2*g + 4. Factor -g*r + 21*r**3 + 6*r**4 + 2*r - 3*r - 6 + 18*r**2.
3*(r + 1)**2*(r + 2)*(2*r - 1)
Let w(j) be the third derivative of -1/48*j**4 + 0 + 0*j + 2*j**2 - 1/40*j**6 - 1/672*j**8 + 0*j**3 - 1/105*j**7 - 1/30*j**5. Determine p, given that w(p) = 0.
-1, 0
Suppose -5*s + 2*b = -5, 5*s + 4*b - 24 = 11. Factor 3*r**4 - 3*r**4 + 2*r**2 + 0*r**4 + r**s - r**4.
-r**2*(r - 2)*(r + 1)
Let x be (-28)/(-6) - 4/6. Let i(v) = v - 2. Let m be i(5). What is h in h + h**x + h**m - h = 0?
-1, 0
Let s be 12/9*(2 - (-66)/16). Let i(t) be the first derivative of 0*t + 78*t**4 + s*t**6 + 8*t**2 + 2 - 224/5*t**5 - 128/3*t**3. Factor i(w).
w*(w - 2)**2*(7*w - 2)**2
Let s = -7199/30 + 240. Let m(q) be the second derivative of 2*q + 1/60*q**4 + 0*q**2 + 0 - s*q**3. Find c, given that m(c) = 0.
0, 1
Let t(o) = 8*o. Let m be t(3). Suppose 0 = 5*n + 4 - m. Factor u + 2*u**3 + u**3 + u**4 - 3*u**2 - 5*u**n + 3*u**4.
-u*(u - 1)**3
Suppose -5*f - 3*g = -37, -g + 3 - 9 = -2*f. Let p be (-16)/(-3) - 20/f. Factor -2/3 - p*v**3 + 2/3*v**4 + 4/3*v + 0*v**2.
2*(v - 1)**3*(v + 1)/3
Let j be (-2)/(-40)*(-104)/6. Let n = 6/5 + j. Let -n - 1/3*f + 1/3*f**2 + 1/3*f**3 = 0. What is f?
-1, 1
Let d(p) be the first derivative of 1 + 0*p**2 + 0*p + 2/3*p**3 - 4/5*p**5 - 1/2*p**4. Factor d(h).
-2*h**2*(h + 1)*(2*h - 1)
Let k(w) be the first derivative of -w**6/60 + w**5/30 + w**4/6 + 5*w**2/2 + 8. Let f(i) be the second derivative of k(i). Let f(x) = 0. What is x?
-1, 0, 2
Factor -5*q**5 + 8*q**5 + 2*q - q**5 - 4*q**3.
2*q*(q - 1)**2*(q + 1)**2
Let v = -4 - -21. Let a be 2*(v/4 - 4). Factor a*m**3 + m**2 + 0 + 1/2*m.
m*(m + 1)**2/2
Suppose -5*n + 210 = 200. Factor 0*a + 0 + 0*a**n + 3/7*a**4 - 3/7*a**3.
3*a**3*(a - 1)/7
Let c(y) = 6 - 2*y + 4*y**3 - 6*y**2 - 2*y**3 + 0*y**3. Let z(f) = -2*f**3 + 6*f**2 + 3*f - 7. Let x(g) = 7*c(g) + 6*z(g). Suppose x(w) = 0. What is w?
0, 1, 2
Let a(d) be the third derivative of d**8/504 - d**7/315 - d**6/90 + d**5/45 + d**4/36 - d**3/9 + 8*d**2. Factor a(o).
2*(o - 1)**3*(o + 1)**2/3
Let l(k) = k**3 - 7*k**2 - 9*k + 8. Let w be l(8). Let i(y) be the third derivative of w*y**3 + 3*y**2 + 0 - 1/30*y**5 + 0*y + 1/12*y**4. Factor i(f).
-2*f*(f - 1)
Let n(y) be the third derivative of y**6/1620 - y**5/180 + y**4/54 + y**3/6 + 2*y**2. Let m(z) be the first derivative of n(z). Find j, given that m(j) = 0.
1, 2
Let m(j) = -j - 1. Let z(l) = 6*l + 10. Let f(a) = -8*m(a) - z(a). Let w(d) = -d**2 + d. Let i = -2 + 3. Let c(n) = i*f(n) + 2*w(n). Factor c(t).
-2*(t - 1)**2
Suppose -q = -0*q - 20. Let k = 22 - q. Factor 0 + 2/9*f**k - 4/9*f.
2*f*(f - 2)/9
Let h(f) = -f**3 - f**2 - f - 2. Let j be h(-2). Suppose -13 = -3*s - j. Factor s*y**3 - 6*y**5 - 2*y**5 + 5*y**5.
-3*y**3*(y - 1)*(y + 1)
Let n(p) be the first derivative of -2/3*p**3 + 4*p + p**2 + 1/6*p**4 + 4. Let c(j) be the first derivative of n(j). Factor c(d).
2*(d - 1)**2
Let f(i) = 5*i - 13. Let v be f(4). What is t in 0*t**3 - 3*t + v*t - 8*t**2 + 0*t + 4*t**3 = 0?
0, 1
Let s(h) be the second derivative of -h**4/6 - 2*h**3/3 - h**2 - 21*h. Factor s(f).
-2*(f + 1)**2
Let l(z) be the first derivative of 1/3*z**3 - z**2 + 2 + 0*z. Factor l(h).
h*(h - 2)
Let t = 332 + -330. Suppose 0 = -b + 6*b. Factor 1/4*n + b - 1/4*n**t.
-n*(n - 1)/4
Factor 20/3*w**2 + 0 + 5/3*w**3 + 5*w.
5*w*(w + 1)*(w + 3)/3
Let t be (-2)/9 + 403/(-9). Let h be ((-2)/3)/(6/t). Factor -3*g**3 - h*g + 4*g - 4*g**2 + 2*g**2 + 2*g**3.
-g*(g + 1)**2
Let k be (-60)/16*4/(-10). Let s(x) be the second derivative of 3/40*x**5 + 0*x**4 + 0 + 3*x - 3/4*x**3 + k*x**2. Factor s(z).
3*(z - 1)**2*(z + 2)/2
Let a(b) be the first derivative of -b**5/150 - b**4/30 - b**3/15 - b**2/2 + 4. Let r(q) be the second derivative of a(q). Factor r(k).
-2*(k + 1)**2/5
Let v(z) be the third derivative of 0*z + 0 + 0*z**4 + 1/168*z**8 + 0*z**3 - 4/15*z**5 - 2/35*z**7 - 5*z**2 + 1/5*z**6. Factor v(y).
2*y**2*(y - 2)**3
Let x(h) be the second derivative of -h**5/5 - h**4/12 - h**3/6 - 3*h. Let z(t) = 23*t**3 + 5*t**2 + 6*t. Let m(r) = -34*x(r) - 6*z(r). What is g in m(g) = 0?
0, 1
Let g(z) = -z. Let u = -15 + 28. Let p = u - 19. Let f(h) = -15*h**2 - 5*h - 1. Let i(l) = p*g(l) - 2*f(l). Factor i(r).
2*(3*r + 1)*(5*r + 1)
Let q be (-12)/(-14)*(-14)/(-4). Let v(n) be the third derivative of -1/30*n**5 - 1/24*n**4 + 1/120*n**6 + 1/3*n**q + 0*n + 0 + n**2. Factor v(s).
(s - 2)*(s - 1)*(s + 1)
Let l(i) be the first derivative of -7*i**8/32 - i**7/5 - i**6/20 - 7*i**2/2 - 3. Let p(j) be the second derivative of l(j). Factor p(o).
-3*o**3*(7*o + 2)**2/2
Let w be (-99)/(-27) - 2/(-6). Factor 0*c + 1/4*c**3 + 1/4*c**w - 1/4*c**2 + 0 - 1/4*c**5.
-c**2*(c - 1)**2*(c + 1)/4
Let j be 122/(-14) + (-6)/21. Let k = -6 - j. Determine r, given that -14/5*r**k + 0*r + 0 + 4/5*r**2 = 0.
0, 2/7
Factor 2/11*k**2 + 50/11 - 20/11*k.
2*(k - 5)**2/11
Let w = 6 + -2. Suppose 6 = -k + w*k. Factor 0 - 2*f**3 + k*f**2 + 2/3*f**4 - 2/3*f.
2*f*(f - 1)**3/3
Let y be (-6)/(-15)*8*5. Let g = y - 12. Factor -4/7 - 2/7*a**3 + 2/7*a**g + 10/7*a - 6/7*a**2.
2*(a - 1)**3*(a + 2)/7
Let h(n) be the third derivative of n**8/10080 + n**7/2520 - n**6/180 - n**5/30 - 3*n**2. Let p(j) be the third derivative of h(j). Factor p(u).
2*(u - 1)*(u + 2)
Let s(m) = 11*m**5 - 24*m**4 + 27*m**3 - 11*m**2 + 7*m + 7. Let i(h) = h**5 - h**4 + h**3 - h**2 + h + 1. Let f(v) = 14*i(v) - 2*s(v). Factor f(r).
-2*r**2*(r - 2)**2*(4*r - 1)
Let v(b) be the third derivative of b**8/840 + 2*b**7/525 - b**6/300 - b**5/75 - 39*b**2. Determine c so that v(c) = 0.
-2, -1, 0, 1
Let c(t) be the second derivative of -t**7/1260 - t**6/90 - t**5/15 + t**4/12 + t. Let a(m) be the third derivative of c(m). Find r, given that a(r) = 0.
-2
Let r(f) be the third derivative of f**7/14 - 7*f**6/24 + 5*f**5/12 - 5*f**4/24 - 9*f**2. Factor r(p).
5*p*(p - 1)**2*(3*p - 1)
Let b(t) = -13*t**5 - 16*t**4 - 8*t**3 + 7*t**2 + 12*t. Let n(m) = -3*m**5 - 4*m**4 - 2*m**3 + 2*m**2 + 3*m. Let v(x) = -2*b(x) + 9*n(x). Factor v(l).
-l*(l - 1)*(l + 1)**2*(l + 3)
Let q(p) be the second derivative of -p**8/1680 + p**7/315 + p**6/180 - p**5/15 - p**4/3 - 4*p. Let j(v) be the third derivative of q(v). Factor j(i).
-4*(i - 2)*(i - 1)*(i + 1)
Suppose -5*c**3 + 20*c**2 - 4*c - 8*c**2 - 4*c**2 + c**4 = 0. Calculate c.
0, 1, 2
Let n(b) be the third derivative of b**8/1008 + 2*b**7/315 + b**6/180 - b**5/45 - b**4/24 + 22*b**2. Factor n(d).
d*(d - 1)*(d + 1)**2*(d + 3)/3
Suppose -2/11*y**2 - 8/11*y - 8/11 = 0. Calculate y.
-2
Let b(i) be the second derivative of -i**6/2340 - i**5/390 - i**4/156 - 2*i**3/3 + 3*i. Let a(j) be the second derivative of b(j). Solve a(q) = 0 for q.
-1
Factor -625*l - 5*l**3 - 7*l**2