 + 3*f(v). Solve d(k) = 0 for k.
-1, 1
Let r(o) be the first derivative of o**3/3 - 4*o**2 + 16*o + 9. Factor r(b).
(b - 4)**2
Factor -8/3 - 2/3*t**4 - 28/3*t - 10*t**2 - 13/3*t**3.
-(t + 2)**3*(2*t + 1)/3
Let d = -22 + 26. Let f(b) be the third derivative of 1/30*b**6 + 0*b + 0 - 1/6*b**d + 3*b**2 + 1/30*b**5 - 1/3*b**3. Determine x, given that f(x) = 0.
-1, -1/2, 1
Let o be 1/6 + (-154)/(-84). Factor 0 + 1/4*r**o + r.
r*(r + 4)/4
Factor 2/9*c**2 + 50/9 + 20/9*c.
2*(c + 5)**2/9
Let a(o) be the third derivative of -o**8/112 - o**7/14 - 3*o**6/20 + o**5/5 + o**4 - o**2. Factor a(q).
-3*q*(q - 1)*(q + 2)**3
Let l(n) = -n**3 + 2*n**2 - n. Let w be l(2). Let x be ((-8)/(-36))/(w/(-3)). Factor 1/3 - 1/3*q**2 + x*q - 1/3*q**3.
-(q - 1)*(q + 1)**2/3
Let i(c) be the first derivative of -c**6 + 9*c**5/10 + 3*c**4/8 + 4. Factor i(q).
-3*q**3*(q - 1)*(4*q + 1)/2
Let i(s) be the second derivative of s**6/240 + s**5/40 - s**3/6 - s. Let x(y) be the second derivative of i(y). Suppose x(q) = 0. Calculate q.
-2, 0
Solve 18/5*y - 2/5 + 38/5*y**3 - 12/5*y**4 - 42/5*y**2 = 0 for y.
1/6, 1
Let r(v) be the first derivative of v**4 + 8*v**3/3 - 6*v**2 + 1. Determine n so that r(n) = 0.
-3, 0, 1
Let v(h) be the third derivative of 0*h**5 + 0*h + 0 - 6*h**2 - 1/60*h**6 + 0*h**4 + 0*h**3. Factor v(y).
-2*y**3
Suppose -45*s - 1 + 226 = 0. Let -6/11*k**4 + 6/11*k**2 + 2/11*k - 10/11*k**3 + 0 + 8/11*k**s = 0. What is k?
-1, -1/4, 0, 1
Let b(w) = -2*w**3 + 3*w**2 + 4*w. Let v(u) = -3*u**3 + 6*u**2 + 7*u + 1. Let r(y) = 5*b(y) - 3*v(y). Let o be r(-3). Factor 3/2*a - 1/2*a**3 - 1 + o*a**2.
-(a - 1)**2*(a + 2)/2
What is d in 4/5*d**2 + 0 + 0*d - 2/5*d**4 + 2/5*d**3 = 0?
-1, 0, 2
Let o(a) be the third derivative of 0*a + 1/6*a**4 + 1/35*a**7 + 2/15*a**6 + 0 + 7/30*a**5 - 5*a**2 + 0*a**3. Factor o(f).
2*f*(f + 1)**2*(3*f + 2)
Suppose -3*l = 3*t, 2*l - l - 2*t = 0. Factor -3*i + 3*i**2 + l*i + 0*i.
3*i*(i - 1)
Let z = -8 + 10. Factor -5*d**3 + 4*d**2 + 16*d**4 - 8*d + z + d - 15*d**4 + 5*d**2.
(d - 2)*(d - 1)**3
Factor 0*j + 2/7*j**4 - 8/7*j**3 + 8/7*j**2 + 0.
2*j**2*(j - 2)**2/7
Solve 3*o**4 - 74*o + 153*o + 6*o**3 - 91*o - 9*o**2 + 12 = 0 for o.
-2, 1
Factor -64*g**5 + 454*g**3 + 98*g - 407*g**2 - 8 + 296*g**3 - 12*g**4 - 68*g**4 - 154*g**3.
-(g - 2)*(g + 4)*(4*g - 1)**3
Let d(c) = c**3 - 24*c**2 - 27*c + 52. Let a be d(25). Factor -3*g**3 - 1/2*g**5 - 1/2*g + 0 - 2*g**a - 2*g**4.
-g*(g + 1)**4/2
Let v(s) = -s**3 + 3*s**2 - 2*s. Let t(b) = b**2 - b. Suppose 25 = 2*k - 5*p, -3*k + 4*p = k - 32. Let f = k + -8. Let j(q) = f*t(q) + v(q). Factor j(d).
-d*(d - 1)*(d + 1)
Factor 0*m + 6/7*m**2 - 8/7 - 2/7*m**3.
-2*(m - 2)**2*(m + 1)/7
Suppose 0 = -5*i - 4*g + 22, -20 = -4*i - 6*g + 2*g. Solve 2/5*j + 2/5*j**i - 4/5 = 0.
-2, 1
Factor 0 + 0*n + 3/7*n**2 - 6/7*n**3 + 3/7*n**4.
3*n**2*(n - 1)**2/7
Let p be (3 - (-20)/(-28)) + (-8)/28. Solve -13/5*x**4 - 9/5*x**3 + 0 + 2/5*x - x**5 + 1/5*x**p = 0.
-1, 0, 2/5
Find s, given that 6*s**4 - 3*s - 20*s**4 + 7*s**2 + 8*s**4 + 3*s**5 - s**2 = 0.
-1, 0, 1
Suppose 47*p - 52 = 34*p. Solve 3/2*m**2 - 1/2 + 1/2*m + m**p - 5/2*m**3 = 0.
-1/2, 1
Suppose f = 6*f. Let w = 2 - f. Let -6*h**2 + h**w + 4*h**2 + h = 0. Calculate h.
0, 1
Suppose 0 = x - 3 - 1. Determine b, given that 5*b - 2*b**3 - x*b + b**5 - b**5 + b**5 = 0.
-1, 0, 1
Let f be 19*(-4)/(-190)*15/2. Determine m so that 3*m**2 + 3/2*m - 3/2*m**f - 3 = 0.
-1, 1, 2
Let q(k) be the third derivative of -1/105*k**5 + 0*k**3 + 0*k**4 + 0*k + 5/1176*k**8 + 3/140*k**6 - 3*k**2 + 0 - 4/245*k**7. Factor q(u).
2*u**2*(u - 1)**2*(5*u - 2)/7
Let g(b) be the first derivative of -4 - b**3 + 3*b + 3/2*b**2 - 3/4*b**4. Factor g(u).
-3*(u - 1)*(u + 1)**2
Factor 2/7 + 1/7*k**2 - 3/7*k.
(k - 2)*(k - 1)/7
Let x(w) = w - 1. Suppose -8*h - 4 = -4*h + 3*g, 4*h = 3*g + 20. Let b be x(h). Let -v - 4 + b - 5*v**2 + 13*v - 1 = 0. What is v?
2/5, 2
Let c(x) = x - 2. Let o be c(-1). Let s be 1*(-3 + 3) - o. Solve 0 + 2/9*t - 2/9*t**s + 2/9*t**4 - 2/9*t**2 = 0 for t.
-1, 0, 1
Suppose 2 = -2*p + 16. Let w = p - 5. Factor -3*g + 5*g - 2*g**w + 0*g.
-2*g*(g - 1)
Suppose -3*n = -4*x - 10, 4*n = -x + 6 + 1. Let b(s) = -2*s**3 - 2*s - 1. Let k be b(x). Find o, given that 1/3*o**k - o**2 + 0*o + 4/3 = 0.
-1, 2
Let q(f) be the third derivative of -f**7/320 - f**6/480 + f**3/6 - 6*f**2. Let l(z) be the first derivative of q(z). What is i in l(i) = 0?
-2/7, 0
Suppose 3*n + 2*v + 3*v + 8 = 0, -5*n + 4 = 4*v. Let w be (-14)/(-49) + n/14. Solve w*d**3 + 0 - 2/7*d**5 + 0*d**4 - 2/7*d + 0*d**2 = 0 for d.
-1, 0, 1
Suppose -13 - 7 = -4*y. Let q(w) = 5*w**2 - 9*w + 9. Let d(j) = -3*j**2 + 5*j - 4. Let g be 1 - (0 - -1)*-1. Let c(l) = g*q(l) + y*d(l). Solve c(m) = 0 for m.
2/5, 1
Let i(s) = -s**3 - 7*s**2 + 7*s - 6. Suppose -4 = 2*g - 4*p, g = 5*p + 10 - 3. Let m be i(g). Solve 2/3*j**m - 4/3 + 2/3*j = 0.
-2, 1
Let x(c) = -c. Let a be x(4). Let r(q) = q**3 + 4*q**2 - 2*q - 6. Let z be r(a). Find s, given that 0*s**z - 2/7*s**3 + 2/7*s + 0 = 0.
-1, 0, 1
Let c(x) be the first derivative of 0*x + 1 + 2/3*x**2 + 3/2*x**4 - 22/9*x**3. Determine a so that c(a) = 0.
0, 2/9, 1
Let f(c) be the second derivative of c**6/60 - 3*c**5/50 + 3*c**4/40 - c**3/30 - 22*c. Find t, given that f(t) = 0.
0, 2/5, 1
Find y such that 12*y**4 + 2*y**2 + 3*y**5 - 2*y**2 + 3*y**3 - 6*y**4 = 0.
-1, 0
Let y(w) be the second derivative of 0 - 2/15*w**3 - 1/30*w**4 + w - 1/300*w**5 + 1/2*w**2. Let r(v) be the first derivative of y(v). Factor r(b).
-(b + 2)**2/5
Find l such that -2*l**5 - 4*l**3 - l**3 - 6*l**4 + 4*l + 2*l**3 + l**3 + 6*l**2 = 0.
-2, -1, 0, 1
Let x = 28 - 18. Suppose -5*p + 0*p + j = -x, -5*p = 5*j - 10. Factor 0*q + 0 + 0*q**3 + 2/3*q**p - 2/3*q**4.
-2*q**2*(q - 1)*(q + 1)/3
Let m(w) = -3*w**3 + 2*w**2 - w - 6. Let s(f) = -4*f**3 + 2*f**2 - f - 7. Let b be (-4)/10 - 92/20. Let d(r) = b*m(r) + 4*s(r). Factor d(p).
-(p - 1)*(p + 1)*(p + 2)
Let g be 4*(-2)/6*(-30)/20. Let p(r) be the first derivative of 0*r**g - 2/35*r**5 + 0*r**3 + 2 + 0*r + 1/14*r**4. Let p(u) = 0. Calculate u.
0, 1
Let n be 2/(-8) + 6*2/16. Factor n - u + 1/2*u**2.
(u - 1)**2/2
Let c(x) be the second derivative of x**4/4 + x**3 + 10*x. Factor c(y).
3*y*(y + 2)
Let p = -1/3 + 7/12. Find f, given that 0 + p*f**2 - 1/2*f = 0.
0, 2
Factor -10*x - 2*x**2 - x**4 - x**3 + 11*x + 3*x**2.
-x*(x - 1)*(x + 1)**2
Let x(b) be the second derivative of b**6/630 + b**5/70 + b**4/21 - 7*b**3/6 - 5*b. Let m(u) be the second derivative of x(u). Factor m(n).
4*(n + 1)*(n + 2)/7
Let m = 6 + -4. Suppose 10 = m*h + 3*h. Factor o**h - 5*o**2 - o + 3*o**2.
-o*(o + 1)
Let o(a) be the first derivative of 3*a**5/10 - 3*a**4/8 + 17. Factor o(f).
3*f**3*(f - 1)/2
Suppose -2*w = -3*z + w + 105, 2*w + 150 = 4*z. Let f be z/70*(-14)/(-12). Let 0*l - f*l**4 + 0 + 0*l**2 + 1/3*l**3 + 1/3*l**5 = 0. What is l?
0, 1
Let m(s) = 4*s**3 - s**2 - 4*s + 4. Let y be m(1). Find h, given that -3/5*h**y + 3/5*h + 3/5 - 3/5*h**2 = 0.
-1, 1
Let z(g) = -g**3 + 2*g**2 + 5*g - 4. Let n be z(3). Solve 9 - n*v + 3 + 38*v + 15*v**2 = 0.
-2, -2/5
Let t(w) be the third derivative of 0 + 1/360*w**8 + 2/1575*w**7 + 0*w**4 - 2*w**2 + 0*w**3 + 0*w - 7/900*w**6 - 1/225*w**5. Suppose t(a) = 0. What is a?
-1, -2/7, 0, 1
Let u(i) be the third derivative of i**9/7560 + i**8/1680 + i**7/1260 + i**4/24 + 2*i**2. Let b(l) be the second derivative of u(l). Let b(z) = 0. Calculate z.
-1, 0
Let g be (40/(-15))/((-2)/3). Suppose -g*c = c - 10. Find x such that 4*x**4 + x**4 - 3*x**4 - c*x**2 = 0.
-1, 0, 1
Let m(y) be the second derivative of y**6/15 + y**5/10 - y**4/6 - y**3/3 - y. Solve m(z) = 0 for z.
-1, 0, 1
Let o(m) be the first derivative of 4*m**5/5 + 8*m**4 + 32*m**3 + 64*m**2 + 64*m - 2. Let o(i) = 0. Calculate i.
-2
Let y(b) = -2*b + 40. Let t be y(17). Suppose 5*a - 4 - t = 0. Let -2/5*n**a + 0*n + 2/5 = 0. What is n?
-1, 1
Let d(u) be the second derivative of u**5/60 - u**4/36 - u**3/18 + u**2/6 - 3*u. Factor d(o).
(o - 1)**2*(o + 1)/3
Let j(i) be the third derivative of i**5/240 - i**4/32 + i**3/12 - 7*i**2. Factor j(c).
(c - 2)*(c - 1)/4
Let h = -6 + 4. Let p = 1 - h. Find z such that -4*z**p + 5*z**4 - 3*z**4 + 2*z**3 = 0.
0, 1
Let d be ((-129)/(-69))/(12/76). Let q = d + -27/23. Factor 14/3*v**4 + 8/3 + 50/3*v**2 + 38/3*v**3 + q*v + 2/3*v*