*v - 7. Let n(a) = c(a) - 6*q(a). Factor n(o).
(o - 1)*(o + 1)
Let m(f) be the third derivative of -f**6/30 + f**4/6 - 2*f**2. Find t, given that m(t) = 0.
-1, 0, 1
Factor -2/3*g + 0 + 2/3*g**2 + 2*g**4 + 10/3*g**3.
2*g*(g + 1)**2*(3*g - 1)/3
Find n such that -78 + 4*n + 68 - n**2 - 11*n = 0.
-5, -2
Factor -2/5 - 9/5*n**4 - 3*n - 33/5*n**2 - 29/5*n**3.
-(n + 1)**3*(9*n + 2)/5
Let z(s) be the first derivative of s**6/42 + s**5/35 - 3*s**4/28 - 5*s**3/21 - s**2/7 + 10. Factor z(j).
j*(j - 2)*(j + 1)**3/7
Let s = -10 + 12. Suppose -5*v - t + 35 = 2*t, -12 = s*v - 4*t. Solve 6*b + 57*b**3 - 12 + 12*b**v + 8*b + 10*b + 81*b**2 = 0.
-2, -1, 1/4
Let y be -4 + (-9)/((-36)/16). Factor 1/3 - 2/3*d**3 - 1/3*d**4 + y*d**2 + 2/3*d.
-(d - 1)*(d + 1)**3/3
Let v(h) = -7*h**3 - 2*h**2 + 1. Let b be v(-1). Suppose 3*z + b = 0, 2*z - 16 = -4*d + 6*z. Determine r so that d + 1/2*r**2 - 2*r = 0.
2
Let y(v) be the second derivative of -v**5/150 - v**4/30 + 2*v**2 + 3*v. Let w(j) be the first derivative of y(j). Factor w(x).
-2*x*(x + 2)/5
Factor 3 + 3/2*x - 3/2*x**3 - 3*x**2.
-3*(x - 1)*(x + 1)*(x + 2)/2
Find z, given that 0*z + 8/11*z**4 - 14/11*z**3 + 0 - 4/11*z**2 = 0.
-1/4, 0, 2
Let r(v) = -v - 1. Let g be r(-4). Suppose -x - g*p - 8 = -p, p = 3*x - 11. Let 0*s**3 - s**4 + 4*s**x + 6*s**3 + 4*s**4 - s**4 = 0. What is s?
-2, -1, 0
Let w(v) be the second derivative of v**6/75 + v**5/25 - v**4/30 - 2*v**3/15 + 25*v. Let w(r) = 0. Calculate r.
-2, -1, 0, 1
Let a(n) be the first derivative of -n**8/336 + n**7/70 - n**6/60 - n**2/2 + 6. Let b(i) be the second derivative of a(i). Find f, given that b(f) = 0.
0, 1, 2
Suppose 0 = 4*w + 20 - 4. Let q be (-2 - 0) + 1 - w. Factor 0*n**2 + 0 + 1/4*n**q - 1/4*n.
n*(n - 1)*(n + 1)/4
Let m(b) be the second derivative of -b**6/180 - b**5/20 - b**4/9 + b**3/6 + 3*b**2/4 - 30*b. Factor m(c).
-(c - 1)*(c + 1)*(c + 3)**2/6
Let a be -1 + 12/(1 - -2). Let -a*p**3 + 4*p**3 + 2*p - 3*p**3 = 0. What is p?
-1, 0, 1
Factor -9*k**2 - 12 + 4*k + 2*k**2 + 10*k + 5*k**2.
-2*(k - 6)*(k - 1)
Suppose -4*s + 0*d = -4*d - 4, 4*s = -5*d - 23. Let m = 4 + s. Suppose -3*i**2 - i + 5*i**2 - i**2 + m*i = 0. Calculate i.
-1, 0
Let c(v) be the first derivative of 4*v**3/3 - 5. Find w, given that c(w) = 0.
0
Suppose 5*g - 11 = 19. Let k(b) = -b**3 + 7*b**2 - 5*b - 3. Let d be k(g). Factor d*o**4 - 3*o**2 + 4*o**2 - 2*o**4 + 2*o**3.
o**2*(o + 1)**2
Let c be (-10616)/6 + (-10)/15. Let w = 7155/4 + c. Let 35*g**4 + w*g**5 - 29/2*g**2 + 27/4*g**3 + 2 - 3*g = 0. What is g?
-1, -2/3, 2/5
Suppose 6*l - l - 145 = 0. Suppose -f = 2*k - 15, -4 = 5*k - l. Factor g - g**2 + f*g - 5*g.
-g*(g - 1)
Let p = 17/12 + -5/4. Let s(u) be the second derivative of 0*u**2 - p*u**3 + 1/15*u**6 + 1/42*u**7 + 2*u + 0*u**5 + 0 - 1/6*u**4. Factor s(y).
y*(y - 1)*(y + 1)**3
Let j(s) be the second derivative of -2*s**6/15 - s**5 - 2*s**4 - 6*s. Factor j(k).
-4*k**2*(k + 2)*(k + 3)
Let p(l) be the second derivative of 3*l**5/20 + 3*l**4 + 45*l**3/2 + 75*l**2 + 39*l + 1. Factor p(k).
3*(k + 2)*(k + 5)**2
Let h(t) be the first derivative of -2*t**2 + 1/6*t**4 - 1 + 4*t - 1/3*t**3. Let c(p) be the first derivative of h(p). Solve c(d) = 0.
-1, 2
Let u = -150/19 - -357/38. Factor -u*s**2 + 0*s**3 - 3/4 + 1/4*s**4 - 2*s.
(s - 3)*(s + 1)**3/4
Let s(f) be the first derivative of -f**4 + 4*f**3/3 + 4*f**2 + 2. Factor s(r).
-4*r*(r - 2)*(r + 1)
Let s(i) be the second derivative of i**8/840 - i**7/420 - i**6/90 + 2*i**3/3 + i. Let a(w) be the second derivative of s(w). Factor a(u).
2*u**2*(u - 2)*(u + 1)
Let y(n) be the first derivative of 1/10*n**4 + 2/25*n**5 + 0*n**2 + 1 - 1/15*n**6 - 2/15*n**3 + 0*n. Factor y(t).
-2*t**2*(t - 1)**2*(t + 1)/5
Let h = -1177/4 - -52967/180. Let p(w) be the third derivative of 0*w**4 + h*w**5 + 0 + 0*w + 0*w**3 - 1/180*w**6 + 2*w**2. Factor p(v).
-2*v**2*(v - 1)/3
Let v = 2673/5 - 534. Let 0 + 0*c - v*c**2 = 0. Calculate c.
0
Let x(o) be the second derivative of o**5/45 + 2*o**4/27 - 2*o**3/27 - 4*o**2/9 + 9*o. Find u, given that x(u) = 0.
-2, -1, 1
Let l be (-42)/(-119)*(-4)/(-6). Let -l*v**3 + 4/17*v**4 + 4/17 + 2/17*v - 8/17*v**2 + 2/17*v**5 = 0. What is v?
-2, -1, 1
Suppose -m - 6*m = -6*m. Let b(t) be the first derivative of 1/2*t**6 + 0*t**4 - 1 - 2*t**3 - 3/2*t**2 + 6/5*t**5 + m*t. Find g, given that b(g) = 0.
-1, 0, 1
Let p(f) be the second derivative of f**7/756 + 7*f**6/1620 + f**5/270 + f**3/3 - 5*f. Let q(d) be the second derivative of p(d). Determine b so that q(b) = 0.
-1, -2/5, 0
Suppose -2*f = -f + f. Let j(b) be the third derivative of f*b + 0 - 1/120*b**6 - 2*b**2 + 1/30*b**5 - 1/3*b**3 + 1/24*b**4. Determine h so that j(h) = 0.
-1, 1, 2
Let b(k) be the first derivative of k**3 - 4 + 0*k - 3/2*k**2 + 3/4*k**4 - 3/5*k**5. Factor b(r).
-3*r*(r - 1)**2*(r + 1)
Let 125/2 - 25*r + 5/2*r**2 = 0. Calculate r.
5
Let -1/5*t + 1/5*t**4 + 0 + 1/5*t**3 - 1/5*t**2 = 0. What is t?
-1, 0, 1
Let p = -3 - -5. Let z be 0/6*(-1)/(-2). Find j such that 3*j**3 + z*j**2 - 5*j**3 - p*j - 4*j**2 = 0.
-1, 0
Suppose 5 = -6*a + a, h = -5*a - 3. Suppose v = 13 - 9. Factor h*u**2 + 2 + v*u - u + u.
2*(u + 1)**2
Let v = 61 - 241/4. Factor v + 3/2*d + 3/4*d**2.
3*(d + 1)**2/4
Let p(f) = f**4 + 3*f**3 - 9*f**2 - f + 3. Let y(x) = 2*x**4 + 2*x**3 - 10*x**2 - 2*x + 4. Let i(m) = -4*p(m) + 3*y(m). Find k such that i(k) = 0.
0, 1
Let a(h) be the second derivative of h**7/7560 + h**6/2160 - h**4/6 + h. Let k(r) be the third derivative of a(r). Solve k(o) = 0.
-1, 0
Let o be (2 - 1) + (3 - 1). Solve 2 - 1 - 7*p - 4*p**2 - o + 6*p**4 + 2*p**5 + 4*p**3 + p = 0 for p.
-1, 1
Let a = 1 - -4. Suppose -20 = -a*q - 3*n, 4*n - 10 - 10 = -5*q. What is s in 2*s + 6*s**2 + 6*s**3 + 0*s**4 - s**4 + 3*s**q = 0?
-1, 0
Let b(i) = i**3 + 8*i**2 + 3*i + 4. Let o be b(-3). Solve 145*j**2 + 345*j**2 + 350*j**2 - 75*j**5 - 336*j + 8 + 435*j**4 + o - 912*j**3 = 0 for j.
2/5, 1, 2
Let t(m) be the second derivative of -m**4/24 + 2*m**3/3 - 3*m**2 + 34*m. Factor t(j).
-(j - 6)*(j - 2)/2
Let v(d) = -3*d**4 + 15*d**3 - 57*d**2 + 57*d - 18. Let r(k) = -3*k**4 + 16*k**3 - 56*k**2 + 56*k - 18. Let n(p) = 6*r(p) - 5*v(p). Let n(x) = 0. Calculate x.
1, 2, 3
What is s in 9*s**2 + 4*s**2 - 16*s + 10*s**2 - 15*s**2 - 32 + 4*s**3 = 0?
-2, 2
Suppose -3*k - 2*d = -0*k, 0 = 5*k - 4*d - 22. Let t be 1 + 6 + -1 - k. Factor -f**4 - 2*f**4 + t*f**4.
f**4
Suppose -2*l + 1 = -3*m, -m + 18 = 3*l + 11. Factor 2/3*v + 4/3 - 2/3*v**l.
-2*(v - 2)*(v + 1)/3
Factor 45*p**2 - 12*p**2 + 8 - 40*p - 15*p**2.
2*(p - 2)*(9*p - 2)
Let u be (-2)/(3/(-6)*-1). Let h(w) = -w - 1. Let o be h(u). Determine y, given that -6*y - 3*y**2 - 4 - 1/2*y**o = 0.
-2
Let z(x) be the second derivative of x**8/336 - 2*x**7/105 + x**6/20 - x**5/15 + x**4/24 + x**2 + x. Let k(j) be the first derivative of z(j). Factor k(w).
w*(w - 1)**4
Let y(v) = -25*v**2 + 3*v + 1. Let r(c) = -c + 1. Let z(i) = -3*r(i) - y(i). Factor z(j).
(5*j - 2)*(5*j + 2)
Let f(z) be the second derivative of 0*z**2 + 2*z - 1/54*z**4 + 0 + 0*z**3. Suppose f(g) = 0. Calculate g.
0
Let j(m) = m**2 + 2*m - 3. Let k be j(-3). Let g = k - -2. Solve 2/3*q + g*q**2 + 4/3*q**3 + 0 = 0 for q.
-1, -1/2, 0
Solve -5*f**2 + 4*f**2 + 124*f**3 - 123*f**3 = 0 for f.
0, 1
Let n(l) be the first derivative of -l**4/30 - 16*l**3/45 - 16*l**2/15 - 14. What is x in n(x) = 0?
-4, 0
Let c be (0 - 2)/((-4)/6). Factor -48*s**2 + 9 + 102*s**3 - 3 + 21*s**5 - c*s + 0 - 78*s**4.
3*(s - 1)**4*(7*s + 2)
Let y(u) be the first derivative of u + 1/10*u**5 - 5 + 1/4*u**2 - 1/8*u**4 - 1/2*u**3. Let y(l) = 0. Calculate l.
-1, 1, 2
Let j(q) = -q**4 + q**3 - q**2 + q - 1. Let r(m) = -8*m**4 + 16*m**3 - 22*m**2 + 14*m - 6. Let t(i) = 6*j(i) - r(i). Let t(n) = 0. What is n?
0, 1, 2
Factor 2/3*r - 1/3*r**2 + 0.
-r*(r - 2)/3
Let a = -10 - -25. Suppose -4*s - 3*i - 12 = -7*i, a = 2*s + 5*i. Factor -2/3*j**4 + s*j**2 - 4/3*j + 2/3 + 4/3*j**3.
-2*(j - 1)**3*(j + 1)/3
Let i = -18 + 18. Let y(a) be the third derivative of 0*a**4 + 3*a**2 + 0*a + i + 0*a**3 + 1/120*a**5 + 0*a**6 - 1/420*a**7. Let y(o) = 0. What is o?
-1, 0, 1
Suppose 2*l = -6, -2*w + 4*w + 12 = -4*l. Find h, given that 0*h**3 - 3/4*h**4 + 3/4*h**2 + w*h + 0 = 0.
-1, 0, 1
Let z be 2/(-42)*6/(-42). Let c(i) be the second derivative of 2/105*i**6 + 0*i**5 - 1/21*i**4 + 