. Let k be v(x). Factor 13*o**4 + 9*o**2 - 12 - k*o**4 + 13*o - 6*o**3 - 2*o + o.
-3*(o - 1)**2*(o + 2)**2
Let y(u) = -10*u**3 + 3*u**2 + 3*u - 2. Let k(p) = 64*p**3 - 17*p**2 - 18*p + 13. Let q(x) = -6*k(x) - 39*y(x). Factor q(t).
3*t*(t - 3)*(2*t + 1)
Let d(o) be the first derivative of o**7/3780 - o**6/810 - o**5/135 + 2*o**4/27 + 5*o**3 + 1. Let r(u) be the third derivative of d(u). Factor r(f).
2*(f - 2)**2*(f + 2)/9
Let x(u) = -2*u**2 + 21*u + 13. Let t be x(11). Let f be (t + -1)*((-6)/(-10) - 0). Factor 3/5 + 0*w - f*w**2.
-3*(w - 1)*(w + 1)/5
Let j(b) = 7*b**3 - 12*b**2 + 19*b - 10. Let i(c) = 13*c**3 - 24*c**2 + 37*c - 19. Let q(o) = -4*i(o) + 7*j(o). Factor q(s).
-3*(s - 2)*(s - 1)**2
Let p(s) be the third derivative of 0*s**4 + 1/160*s**5 + 0*s**3 + 0*s + 0*s**6 - 1/560*s**7 + 0 + 4*s**2. Find z such that p(z) = 0.
-1, 0, 1
Let f = 3 - -9. Suppose 4*j + f = 5*v, 0*v + 9 = -2*v - 3*j. Determine g, given that 1/2*g**5 + v + 0*g**2 + g**3 + 0*g + 3/2*g**4 = 0.
-2, -1, 0
Let b(a) be the second derivative of 2*a + 3/70*a**5 + 1/420*a**6 + 0 + 9/28*a**4 - 4*a**2 + 9/7*a**3. Let l(f) be the first derivative of b(f). Solve l(t) = 0.
-3
Let i(l) = 7*l**3 + 261*l**2 + 8*l + 4. Let b(v) = 8*v**3 + 264*v**2 + 10*v + 5. Let m(t) = 4*b(t) - 5*i(t). Solve m(d) = 0.
-83, 0
Let v(t) = -7*t**3 + 30*t**2 - 57*t + 32. Let x(i) = -15*i**3 + 60*i**2 - 115*i + 65. Let f(c) = 5*v(c) - 2*x(c). Factor f(s).
-5*(s - 3)*(s - 2)*(s - 1)
Let k(n) = n**4 + 4*n**3 - 64*n**2 + 80*n. Let a(r) = r**4. Let z(v) = 3*a(v) + k(v). Factor z(i).
4*i*(i - 2)**2*(i + 5)
Let i(t) = -11*t**2 + 98*t + 2116. Let h(s) = 2*s**2 - s. Let p(g) = -6*h(g) - i(g). Suppose p(r) = 0. Calculate r.
-46
Factor -36*n**2 - 24*n**3 - 3*n**3 + 96*n + 18*n - 54*n + 3*n**4.
3*n*(n - 10)*(n - 1)*(n + 2)
Factor -d**3 - 2077*d**2 - 12*d + 154*d - d**3 - 72 + 2009*d**2.
-2*(d - 1)**2*(d + 36)
Let c(m) be the third derivative of -m**5/180 + 5*m**4/36 + 13*m**3/6 + 310*m**2. Let c(q) = 0. Calculate q.
-3, 13
Determine f, given that 0 - 9/5*f + 26/5*f**2 + 6/5*f**4 - 24/5*f**3 + 1/5*f**5 = 0.
-9, 0, 1
Suppose 5*y - 92 = -32. Suppose 45 = 3*k + y*k. Suppose 28/3*s**k + 2/3*s**5 + 6*s + 4/3 + 32/3*s**2 + 4*s**4 = 0. What is s?
-2, -1
Let l(f) be the third derivative of f**8/168 + 5*f**7/84 + 9*f**6/40 + 11*f**5/30 + f**4/6 - 14*f**2. Solve l(g) = 0 for g.
-2, -1/4, 0
Let -2116*n**5 - 16668*n**3 - 859*n - 357*n + 2846*n**4 + 9004*n**2 + 31 + 8102*n**4 + 17 = 0. Calculate n.
2/23, 1, 3
Let j(c) be the second derivative of -c**4/4 - 8*c**3 + 51*c**2/2 - 267*c - 1. Determine d, given that j(d) = 0.
-17, 1
Let x(f) = -f**5 - 35*f**4 + 102*f**3 - 95*f**2 + 32*f + 3. Let t(a) = 36*a**4 - 102*a**3 + 96*a**2 - 32*a - 2. Let l(i) = 3*t(i) + 2*x(i). Factor l(n).
-2*n*(n - 16)*(n - 1)**3
Let r(s) be the first derivative of -1/2*s**2 + 3 - s**5 - 3/4*s**4 + 0*s + 2/3*s**6 + 5/3*s**3. Factor r(n).
n*(n - 1)**2*(n + 1)*(4*n - 1)
Let f = 18517/4 + -92477/20. Factor -f*m - 1/5*m**3 + 27/5 + 9/5*m**2.
-(m - 3)**3/5
Let m be (-11)/56*-4 - (-2)/7*-1. Determine g, given that -1/6*g**2 + m*g + 2/3 = 0.
-1, 4
Let m = -9 + 13. Suppose 9 = 3*i - 3*u, 2*u = -m*i - 3*u + 21. Let -3*c - c**3 - c**4 + 0*c + c**2 + i*c = 0. Calculate c.
-1, 0, 1
Let h = -207 - -831/4. Let t(c) be the first derivative of h*c**4 + 0*c - 3 + 0*c**2 - c**3. Factor t(o).
3*o**2*(o - 1)
Let b = -12 - -30. Factor 38*y**4 - b*y**4 - 21*y**4.
-y**4
Let i(w) be the second derivative of -w**6/80 + 3*w**5/80 + w**4/32 - w**3/8 + 3*w + 3. Determine d so that i(d) = 0.
-1, 0, 1, 2
Factor -58/7*z**3 + 4/7*z**2 + 0 + 0*z - 30/7*z**4.
-2*z**2*(z + 2)*(15*z - 1)/7
Let a(r) be the first derivative of -r**5/25 + 3*r**4/20 + r**3/5 - 7*r**2/10 - 6*r/5 + 9. Suppose a(t) = 0. Calculate t.
-1, 2, 3
Factor m - 2*m**3 + 0*m**3 - 3*m**3 - 114*m**2 - 8 + m**4 + 3*m + 120*m**2.
(m - 2)**3*(m + 1)
Factor -15/4*l**2 - 3/2*l - 9/4*l**3 + 0.
-3*l*(l + 1)*(3*l + 2)/4
Let l(c) be the third derivative of 0*c - 3/52*c**4 + 0 - 7/390*c**5 + 37*c**2 - 2/39*c**3. Find v such that l(v) = 0.
-1, -2/7
Let l(p) be the third derivative of p**5/100 - 2*p**4/5 + 24*p**3/5 - 321*p**2. Factor l(i).
3*(i - 12)*(i - 4)/5
Let c(m) be the third derivative of -10/3*m**4 + 16/3*m**5 + 8/7*m**7 + 0*m**3 + 0 + 0*m + 24*m**2 - 11/3*m**6 - 15/112*m**8. What is q in c(q) = 0?
0, 2/3, 2
Let g(f) be the second derivative of -3*f**2 + 6*f - 1/6*f**4 + 0 - 4/3*f**3. Find b, given that g(b) = 0.
-3, -1
Let z(v) be the first derivative of -2*v**5/25 + 11*v**4/10 - 64*v**3/15 + 28*v**2/5 - 167. Factor z(g).
-2*g*(g - 7)*(g - 2)**2/5
Suppose -w + 38 = 34. Find d, given that 24/5 + 3/5*d**w - 12/5*d - 18/5*d**2 + 3/5*d**3 = 0.
-2, 1, 2
Let a(p) be the third derivative of -1/168*p**8 - 30*p**2 - 1/20*p**6 - 4/105*p**7 + 1/3*p**4 + 0 + 2/15*p**5 + 0*p**3 + 0*p. Determine m so that a(m) = 0.
-2, -1, 0, 1
Let d(z) be the second derivative of z**5/4 - 5*z**4/12 - 305*z. Determine w, given that d(w) = 0.
0, 1
Let 2/11*c**3 - 6/11*c + 0 - 4/11*c**2 = 0. Calculate c.
-1, 0, 3
Let d(x) be the second derivative of -11/24*x**3 + 8*x - 1/48*x**4 + 0 - 5/4*x**2. Factor d(j).
-(j + 1)*(j + 10)/4
Let b(d) be the third derivative of d**8/2520 + d**7/1260 - d**6/1080 + d**4/3 + 4*d**2. Let j(g) be the second derivative of b(g). Factor j(v).
2*v*(v + 1)*(4*v - 1)/3
Let h be ((-18)/24*-8)/((-18)/(-4)). Let j(i) be the first derivative of 4*i - 2*i**2 - h*i**3 + 8 + i**4. Solve j(b) = 0.
-1, 1
Let v be 0/((-1)/2*6). Let g be ((-12)/20)/(54/(-20) - v). Let -g + 2/9*l**2 + 0*l = 0. Calculate l.
-1, 1
Let f(a) = -5*a**2 - 38*a. Let v(j) = 4*j**2. Let g(o) = 5*f(o) + 5*v(o). Find r, given that g(r) = 0.
-38, 0
Factor -21*s - 30*s**4 - 271*s**2 + 25*s**3 - 14*s + 311*s**2.
-5*s*(s - 1)**2*(6*s + 7)
Factor 511*d**2 - 87*d**3 - 29*d**3 + 16*d**3 + 1798*d**4 - 1793*d**4 - 11*d**2.
5*d**2*(d - 10)**2
Determine g, given that 66/5*g + 3/5*g**2 + 363/5 = 0.
-11
Let q(c) be the third derivative of -c**8/196 + 8*c**7/735 + c**6/42 - 2*c**5/105 - 271*c**2 + 2*c. Determine x so that q(x) = 0.
-1, 0, 1/3, 2
Let w(q) be the third derivative of -3/140*q**5 - 1/56*q**4 + 0*q**3 + 0*q + 0 + 11*q**2 - 1/490*q**7 - 3/280*q**6. Factor w(l).
-3*l*(l + 1)**3/7
Let w(g) be the third derivative of g**6/72 - g**5/8 + 5*g**4/12 + 7*g**3/3 - 32*g**2. Let z(l) be the first derivative of w(l). Let z(u) = 0. Calculate u.
1, 2
Let l be -6 + ((-4)/60 - (-192)/30). Factor 1/6*s**2 + 1/2*s + l.
(s + 1)*(s + 2)/6
Suppose -3*m = -5*w + 35, -2*m + 41 = -5*m + 2*w. Let r be 10/m + (-8)/(-3). Factor -2 - 5*o + 6 + r*o**2 + 3*o - 4*o**2.
-2*(o - 1)*(o + 2)
Let q(g) = 2*g**2 + 106. Let o be q(0). Suppose o*t = 105*t + 2. What is u in 3*u**3 + 1 - 9/2*u + 7/2*u**t = 0?
-2, 1/3, 1/2
Factor 15*i + 18*i**3 - 2878 + 2878 + 93*i**2.
3*i*(i + 5)*(6*i + 1)
Let h = 13501/3 - 4499. What is b in 0 - 1/3*b - 1/3*b**5 - 2*b**3 + h*b**2 + 4/3*b**4 = 0?
0, 1
Let z = 31737/13 - 2441. Determine r, given that 4/13*r**4 + 0 - 6/13*r**3 - 6/13*r**2 + z*r = 0.
-1, 0, 1/2, 2
Suppose -32*k + 22 = -21*k. Let 0*r**k - 2*r + r**4 + 9*r**2 + 5*r + 5*r**3 - 2*r**2 = 0. Calculate r.
-3, -1, 0
Let q = 107 + -105. Let o(h) be the second derivative of -q*h**2 + 2/3*h**4 + 0 + 3*h + 1/21*h**7 - 2/15*h**6 - 1/5*h**5 + 1/3*h**3. Find u such that o(u) = 0.
-1, 1, 2
Find w, given that -30*w**2 - 15*w - 3/2*w**4 + 63/2 + 15*w**3 = 0.
-1, 1, 3, 7
Let f(m) be the first derivative of -3/4*m**4 - 162*m**2 + 18*m**3 + 648*m - 15. Solve f(t) = 0 for t.
6
Suppose -7*v = -4*v - l - 10, 5*l = 4*v - 28. Find s, given that 5*s**3 - 3*s**2 - 4*s**4 - 5*s**2 + 6*s**v + s**5 = 0.
0, 1, 2
Let l(o) be the second derivative of -o**7/98 - 3*o**6/70 + 12*o**5/35 + 22*o**4/7 + 72*o**3/7 + 120*o**2/7 - 789*o. Suppose l(s) = 0. What is s?
-2, 5
Let d = -70 + 72. Let j be (-1)/(-2) + (-94)/(-4). Factor 3*i**d - 12*i + j*i - 18*i.
3*i*(i - 2)
Find f, given that 96/5 + 184/5*f - 2/5*f**4 + 104/5*f**2 + 14/5*f**3 = 0.
-2, -1, 12
Let d(s) = 3*s - 53. Let v be d(17). Let z be (-17)/(-51)*(-9)/v. Factor -3/4*n + 3/4*n**2 - z.
3*(n - 2)*(n + 1)/4
Let z(h) be the third derivative of h**8/50400 + h**7/1800 + h**5/6 - 29*h**2. Let p(v) be the third derivative of z(v). Factor p(u).
2*u*(u + 7)/5
Suppose 14*h - 2 = 26. Let x(p) be the second deriva