*3 + 1 + 5/2*l + 2*l**p = 0.
-2, -1
Solve -12 - 9*o**3 + 12*o**2 + 13*o**3 - 4 = 0 for o.
-2, 1
Suppose -5*q = n + 22, 5*q + 11 + 29 = 5*n. Let h = q + 8. Factor -6/5*x**h - 2/5*x + 0 - 8/5*x**2.
-2*x*(x + 1)*(3*x + 1)/5
Let z(k) be the second derivative of 3*k**5/20 + k**4/2 - k**3/2 - 3*k**2 - 8*k. Let z(u) = 0. What is u?
-2, -1, 1
Let t be ((-10)/(-6))/(12/36). Let o(r) be the second derivative of 0 + 0*r**2 - 2*r - 1/18*r**4 + 0*r**3 + 1/30*r**t. Factor o(l).
2*l**2*(l - 1)/3
Let t(l) = -l**3 - 10*l**2 + l + 12. Let g be t(-10). Let -4*m**2 + 4 + m**2 - 16*m + 10*m**g = 0. Calculate m.
2/7, 2
Let x(q) be the first derivative of q**6/15 + q**5/40 + 3*q + 1. Let u(c) be the first derivative of x(c). Find j, given that u(j) = 0.
-1/4, 0
Let y be 17/5 - (-6)/(-15). Factor 8*u + 3*u**2 - y*u**4 + u + 3*u**5 - 3*u + 0*u**4 - 9*u**3.
3*u*(u - 2)*(u - 1)*(u + 1)**2
Suppose 3*r + 0*r = 18. Let n be 3*(r/(-9) - -2). Factor 2*k**3 + 5*k**4 + k**2 + 3*k**2 - 4*k**n - 3*k**2.
k**2*(k + 1)**2
Let p(v) = -v - 3. Let s(z) = z + 1. Let w(o) = -p(o) - 4*s(o). Let u be w(-3). Let 90*j**3 + u*j + 0*j - 48*j**2 + 0*j - 50*j**4 = 0. Calculate j.
0, 2/5, 1
Let w(r) = 11*r**2 - 4*r + 1. Let z be w(3). Let f be 2/10 + z/10. Factor v + 6*v**3 + 4*v**4 - 8*v**5 + f*v**5 + 4*v**2 + 0*v.
v*(v + 1)**4
Let c(b) be the first derivative of 3*b**4/8 - b**3 - 3*b**2 + 12*b + 32. Solve c(u) = 0 for u.
-2, 2
Suppose -20 = 6*t - 11*t. Suppose -4*y = -t - 4. Find x, given that -2/3 + 2/3*x**y + 0*x = 0.
-1, 1
Factor 1/8*u**4 + 0 + 1/8*u**3 + 0*u - 1/4*u**2.
u**2*(u - 1)*(u + 2)/8
Factor -5/3*x**2 - 60 + 20*x.
-5*(x - 6)**2/3
Let y be 1 - (-1)/18*165/(-10). Let w(g) be the third derivative of 1/30*g**7 - 2*g**2 + 0*g**3 + 0*g - y*g**4 + 1/60*g**6 + 0 - 7/60*g**5. Factor w(u).
u*(u - 1)*(u + 1)*(7*u + 2)
Suppose -1/4*g + 0 + 1/4*g**2 = 0. Calculate g.
0, 1
Let u(q) be the third derivative of -2*q**7/315 - 12*q**2. Factor u(l).
-4*l**4/3
Let v(a) be the third derivative of a**8/2352 + a**7/735 - a**6/840 - a**5/210 - 25*a**2. Factor v(z).
z**2*(z - 1)*(z + 1)*(z + 2)/7
Let o(w) = -13*w**3 - 53*w**2 - 13*w + 5. Let v(l) = -6*l**3 - 26*l**2 - 6*l + 2. Let x be 6 - (0/1 + 0). Let k(z) = x*o(z) - 11*v(z). Factor k(c).
-4*(c + 1)*(c + 2)*(3*c - 1)
Let q(z) = -z + 6. Let l be q(12). Let w be ((-2)/((-8)/l))/(-3). Factor w*c**2 + 0*c + 0*c**3 - 1/4*c**4 - 1/4.
-(c - 1)**2*(c + 1)**2/4
Let u(r) be the third derivative of -1/100*r**5 + 0 + 0*r**4 - 2*r**2 - 1/100*r**6 - 1/350*r**7 + 0*r + 0*r**3. Factor u(v).
-3*v**2*(v + 1)**2/5
Factor -17 - 2*x - 5*x**2 + 6*x**2 + 14.
(x - 3)*(x + 1)
Let o(n) be the second derivative of n**7/630 + n**6/180 - 3*n**4/4 + 7*n. Let m(r) be the third derivative of o(r). Factor m(h).
4*h*(h + 1)
Let q(x) be the second derivative of x**7/840 - x**6/240 - x**5/20 + x**4/12 - 2*x. Let c(g) be the third derivative of q(g). Factor c(s).
3*(s - 2)*(s + 1)
Let z be (-5)/(-15) + (-22)/(-6). Factor 8/3*u**2 + 0 - z*u**3 + 8/3*u**4 - 2/3*u - 2/3*u**5.
-2*u*(u - 1)**4/3
Let g(i) be the first derivative of -i**3/12 - 3*i**2/2 - 9*i + 14. Factor g(w).
-(w + 6)**2/4
Let a be (2 - (0 - -4))*-1. Let b be 0/(1*-2) + a. Find q, given that -q**4 + 4*q**2 + b*q**3 - 3*q**3 + q - 3*q**2 = 0.
-1, 0, 1
Let v(c) be the third derivative of 1/1155*c**7 + 4/165*c**5 - 1/33*c**4 + 0*c + c**2 + 0*c**3 + 0 - 1/132*c**6. Factor v(x).
2*x*(x - 2)**2*(x - 1)/11
Factor 0*y + 11*y**3 + 8*y - 16*y**3 - 5 - 3*y + 5*y**2.
-5*(y - 1)**2*(y + 1)
Factor -5*g**3 + 10*g**3 - 7*g**3 + 4*g**2.
-2*g**2*(g - 2)
Suppose 0 = 5*l + 7*l. Let f(y) be the third derivative of 0*y**3 + 0*y + l*y**5 + 0*y**4 - y**2 + 0 - 1/80*y**6 - 1/280*y**7. Factor f(t).
-3*t**3*(t + 2)/4
Let r(o) be the third derivative of -o**6/780 - o**5/195 - o**4/156 + 6*o**2. Let r(d) = 0. Calculate d.
-1, 0
Let -l**2 + 0*l + 0 - 1/2*l**4 - 3/2*l**3 = 0. What is l?
-2, -1, 0
Suppose 0 = j + 5*x - 15, -3*j - 5*x + 19 = -3*x. Suppose 3*d = -5*y + 2 + 5, -j*y = -3*d - 13. Solve y + 3 + 11 + 24*z + 12*z**2 + 2*z**3 + 0 = 0 for z.
-2
Let m = -62 - -64. Factor 3/2*f - 1/2 - f**m.
-(f - 1)*(2*f - 1)/2
Let w(r) be the first derivative of r**4/18 + 6. Find p, given that w(p) = 0.
0
Let b = 1 + 3. Suppose -z = -3*o - 12, -3 = 2*o + 3. What is h in -6*h**4 - b*h**2 - 2*h**5 - h**z - h**3 - 4*h**3 + 2*h**2 = 0?
-1, 0
Let x = 81/215 - -1/43. Suppose 0*t - x*t**2 + 2/5 = 0. What is t?
-1, 1
Let j(p) = 6*p**2 + 10*p + 16. Let m(k) be the first derivative of -3/2*k**2 - 5*k - 3 - 2/3*k**3. Let r(i) = 5*j(i) + 16*m(i). Let r(a) = 0. Calculate a.
0, 1
What is n in -5*n**4 + 10*n**3 - 2*n**3 - 3*n**3 = 0?
0, 1
Suppose -1/4*r + 1/2 + 1/4*r**3 - 1/2*r**2 = 0. Calculate r.
-1, 1, 2
Let o(a) = 8*a - 4. Let w be o(3). Suppose 0*k = -5*k + w. Factor q**3 - 4 + 3*q**2 - k*q**3 + 2*q**3.
-(q - 2)**2*(q + 1)
Let x(i) = -i. Let j be x(-2). Suppose m = -0*m + 2*z + 3, j*z - 17 = -3*m. Factor 1 - 3*n**3 + 8*n - 3*n**2 + 2 - m*n.
-3*(n - 1)*(n + 1)**2
Let v = 7 - 12. Let y(o) = -o. Let f be y(v). Factor -3*x + 6*x**2 + 2*x - f*x**2.
x*(x - 1)
Let m(t) be the second derivative of t**7/63 + 8*t**6/45 + 11*t**5/15 + 4*t**4/3 + t**3 - 11*t. Factor m(h).
2*h*(h + 1)**2*(h + 3)**2/3
Let t be 9/(-12) - (-550)/200. Factor 19/6*b**3 + 9/2*b**t - 2/3 + 2/3*b**4 + 4/3*b.
(b + 1)*(b + 2)**2*(4*b - 1)/6
Factor 10*a**4 + 40*a**2 + 22*a - 2 + 6 + 34*a**3 + 2*a**2.
2*(a + 1)**3*(5*a + 2)
Find v such that -40*v**3 + 28*v + 12*v + 5*v**4 - 15*v**4 + 6*v**4 - 96*v**2 + 100 = 0.
-5, -1, 1
Let s(w) = -2*w - 6. Let z be s(-4). Let v(q) be the first derivative of z + 0*q**2 - 1/10*q**4 + 0*q + 2/15*q**3. Factor v(d).
-2*d**2*(d - 1)/5
Let b(r) = -6*r - 33. Let h be b(-6). Let n(g) be the first derivative of 1/2*g**2 - h - 7/6*g**3 - 1/2*g**4 + 0*g. Let n(x) = 0. What is x?
-2, 0, 1/4
What is d in -2*d + 2*d + d**2 - 3*d = 0?
0, 3
Let t be 20 - (-3 + 4) - -2. Find k such that -7*k + 4*k**3 - 13*k**3 - 6*k + t*k**2 + 3 - 2*k = 0.
1/3, 1
Let g(p) be the second derivative of p**8/168 - p**6/30 + p**4/12 - 5*p**2/2 + 5*p. Let v(h) be the first derivative of g(h). Factor v(d).
2*d*(d - 1)**2*(d + 1)**2
Suppose -1/2 - 3/2*z**3 + 1/2*z**2 + 3/2*z = 0. Calculate z.
-1, 1/3, 1
Factor -1/7*y**2 + 0*y + 1/7*y**3 + 0 + 1/7*y**4 - 1/7*y**5.
-y**2*(y - 1)**2*(y + 1)/7
Let n(v) be the second derivative of 2*v**7/147 - 2*v**6/21 + v**5/5 + v**4/21 - 16*v**3/21 + 8*v**2/7 + 23*v. Find c such that n(c) = 0.
-1, 1, 2
Let d be (-3)/12*6/(-9). Factor -1/6*b**5 + d*b**2 + 1/6*b**3 + 0*b + 0 - 1/6*b**4.
-b**2*(b - 1)*(b + 1)**2/6
Let o(z) be the third derivative of 0*z**4 + 0 + 1/315*z**7 + z**2 + 0*z**6 + 0*z - 1/90*z**5 + 0*z**3. Determine n, given that o(n) = 0.
-1, 0, 1
Let m(l) be the third derivative of l**8/140 + 2*l**7/525 - l**6/30 - l**5/75 + l**4/15 - 18*l**2. Solve m(x) = 0.
-1, 0, 2/3, 1
Factor -1/2*f + 0 + 3/2*f**3 + 0*f**2 - f**4.
-f*(f - 1)**2*(2*f + 1)/2
Factor -46/15*n - 16/15 - 14/5*n**2 - 2/3*n**3 + 2/15*n**4.
2*(n - 8)*(n + 1)**3/15
Let d(p) be the third derivative of 0 - 2*p**2 + 0*p**3 + 0*p - 1/90*p**5 + 1/360*p**6 + 1/72*p**4. Factor d(t).
t*(t - 1)**2/3
Suppose z - 5 - 12 = 0. Suppose -b + 8 = -d, -2*b + d + z = -0*b. Determine t, given that 2*t**3 + 4 - 2 - 3*t + 6*t**2 + b*t = 0.
-1
Factor 14/5*o**2 + 1/5 - 16/5*o**3 + 9/5*o**4 - 6/5*o - 2/5*o**5.
-(o - 1)**4*(2*o - 1)/5
Let q = -48 + 26. Let y be 168/165 - 4/q. Let -4/5 - y*u**2 - 2*u = 0. What is u?
-1, -2/3
Suppose 0 + 1/4*s**3 + 13/4*s**2 + 3*s = 0. Calculate s.
-12, -1, 0
Let f = 72 - 431/6. Let x(g) be the first derivative of 2 + 0*g - f*g**6 + 0*g**2 - 1/3*g**3 - 3/5*g**5 - 3/4*g**4. Factor x(o).
-o**2*(o + 1)**3
Let b = -6 - 2. Let d = b - -10. Suppose 2*z**3 + 3*z**5 - d*z**5 + z**3 - 4*z**5 = 0. What is z?
-1, 0, 1
Suppose 0*x - 7 = 2*x + 5*k, 5*k = 5*x - 35. Factor i**2 + i + 3*i**3 - i**3 - i**4 + i - x*i**3.
-i*(i - 1)*(i + 1)*(i + 2)
Let m = 176/9 - 18. Determine b so that -4/9*b - m*b**2 + 0 = 0.
-2/7, 0
Let u(a) be the second derivative of -a**7/420 - a**6/240 + a**2 - 5*a. Let d(i) be the first derivative of u(i). Suppose d(j) = 0. Calculate j.
-1, 0
Let g = -9 - -19. Let u be g/45 - 40/(-63). Factor -u*l**2 - 2/7*l**3 - 6/7*l - 2/7.
-2*(l + 1)**3/7
Factor 42*a + 5*a**3 - 112*a**2 + 38*a + 30*a**4 - 8*a**2 + 5*a**5.
