r - 2)*(r - 1)**2/7
Let b(j) be the third derivative of 1/120*j**6 - 1/8*j**4 + 4*j**2 + 0*j + 1/3*j**3 + 0 + 0*j**5. Factor b(p).
(p - 1)**2*(p + 2)
Suppose 4*w - 3 = 9. Suppose -3*t + 8 - 2 = 0. What is n in 2*n**w - 2*n**3 + 2*n**3 - t*n**2 = 0?
0, 1
Let p be (3/(-21))/(-1)*2/1. Factor -2/7*a - 4/7*a**2 + p*a**5 + 4/7*a**4 + 0*a**3 + 0.
2*a*(a - 1)*(a + 1)**3/7
Let p(z) = 6*z**5 + 11*z**4 - 12*z**3 + 5*z**2 - 5*z - 5. Let l(x) = -9*x**5 - 16*x**4 + 18*x**3 - 7*x**2 + 7*x + 7. Let v(m) = 5*l(m) + 7*p(m). Factor v(a).
-3*a**3*(a - 1)*(a + 2)
Let z(u) = -u + 7. Let w be z(3). Suppose 3*a - 10 = -y + 17, -3*a - 63 = -w*y. What is m in 36*m + 1/3*m**4 + y*m**2 + 27 + 4*m**3 = 0?
-3
Suppose 2*g + 0 = -6. Let v be (2 + -3)*(1 + g). Solve 0 - 4*l - 2 + 0*l - 2*l**v = 0.
-1
Let v be (8/12)/(370/6). Let r = v - -364/555. Solve 0*n**2 + 0 + 2/3*n**3 + 0*n + r*n**5 - 4/3*n**4 = 0 for n.
0, 1
Determine n, given that 2/7*n**2 + 32/7 - 16/7*n = 0.
4
Suppose -o - 4*y = -8, y = 5*o - 2*o + 2. Find r such that -26*r + 32 + o*r**2 + 2*r**2 + 10*r = 0.
4
Let y(n) be the second derivative of -n**4/6 - n**3/2 - 3*n**2/2 - 3*n. Let u(f) = -10*f**2 - 16*f - 16. Let j(b) = 3*u(b) - 16*y(b). Let j(g) = 0. What is g?
0
Let v(w) be the third derivative of -w**9/16800 + w**8/4800 - w**7/4200 - w**5/60 - 4*w**2. Let d(f) be the third derivative of v(f). Factor d(t).
-3*t*(2*t - 1)*(3*t - 2)/5
Let x(q) be the third derivative of q**6/480 - q**5/60 - q**4/8 - 8*q**2. Find h, given that x(h) = 0.
-2, 0, 6
Let m be 17/26 - 132/858. Factor -1/4*x**2 + 1/4*x + m.
-(x - 2)*(x + 1)/4
Factor 1/4*d**3 + 0 + 0*d**2 + 0*d - 1/4*d**4.
-d**3*(d - 1)/4
What is k in 10/11*k**2 + 32/11*k + 6/11 = 0?
-3, -1/5
Let a(y) = 17*y**4 - 4*y**4 - 13*y**3 + y - 10*y - 9*y**2. Let m(i) = -3*i**4 + 3*i**3 + 2*i**2 + 2*i. Let z(j) = -2*a(j) - 9*m(j). Factor z(d).
d**3*(d - 1)
Let z = -13 - -15. Let n(r) be the second derivative of 0 - 2*r + 1/30*r**5 + 5/36*r**4 + 2/9*r**3 + 1/6*r**z. Factor n(u).
(u + 1)**2*(2*u + 1)/3
Let z(j) be the first derivative of j**2 + 2/3*j**3 + 0*j - 1. Solve z(y) = 0 for y.
-1, 0
Let k = 431/7 - 21549/350. Let b(s) be the third derivative of 0*s**3 + 1/100*s**5 + s**2 + 0*s + 1/40*s**4 - k*s**7 - 1/200*s**6 + 0. Let b(w) = 0. What is w?
-1, 0, 1
Let l(t) = t - 2. Let p be l(5). Factor -10 + 3*f**2 - p*f + 10.
3*f*(f - 1)
Let v(k) be the first derivative of -k - 7/4*k**4 + 11/6*k**3 + 5/4*k**2 - 2. Factor v(l).
-(l - 1)*(2*l + 1)*(7*l - 2)/2
Let q(u) = u**3 - 5*u**2 + 6*u - 5. Let s be q(4). Solve -1/4*l**s + 0*l - 1/4*l**2 + 0 = 0.
-1, 0
Let n(v) be the first derivative of 3*v**5/4 - 85*v**4/16 + 25*v**3/2 - 15*v**2/2 - 10*v + 19. Suppose n(i) = 0. Calculate i.
-1/3, 2
Let u be 75/21 + -1 + (-3)/(-7). Let s(r) = r**3 + 5*r**2 - 7*r - 1. Let v be s(-6). Factor -u*x**5 + 2*x**5 + x**2 + 2*x**v + x**2 + 4*x**4 + 5*x**3.
x**2*(x + 1)**2*(x + 2)
Factor 3*j**2 - 3/2 + 5/4*j**3 + 1/4*j.
(j + 1)*(j + 2)*(5*j - 3)/4
Let w(k) be the second derivative of 1/60*k**5 - 1/6*k**3 - 1/24*k**4 + 1/120*k**6 - 1/2*k**2 - k + 0. Let j(y) be the first derivative of w(y). Factor j(r).
(r - 1)*(r + 1)**2
Let s(u) be the second derivative of u**7/56 + u**6/40 - 3*u**5/40 - u**4/8 + u**3/8 + 3*u**2/8 + 9*u. Factor s(w).
3*(w - 1)**2*(w + 1)**3/4
Factor -108/7*l**3 - 3/7 - 30/7*l - 99/7*l**2.
-3*(3*l + 1)**2*(4*l + 1)/7
Suppose 0 = -2*z + 4 - 0. Suppose -8 = z*j - 6*j. Factor -n**2 + 0*n**j - 2*n - 5 + 5.
-n*(n + 2)
Suppose 0 = -3*a + 3 + 6. Let 1 - u - 1 - u**3 - 5*u**2 + a*u**2 = 0. What is u?
-1, 0
Let n(k) be the second derivative of 0 - 3*k + 1/12*k**3 + 1/24*k**4 - 1/40*k**5 - 1/4*k**2. Factor n(s).
-(s - 1)**2*(s + 1)/2
Let k(p) = p + 1. Let h be (-15)/3 + 2 + 1. Let w(z) = 2*z**2 + 2*z + 2. Let r(t) = h*k(t) + w(t). Let r(g) = 0. Calculate g.
0
Suppose 0 = -3*x - 2 + 5. Let g be (x/2)/(2/8). Let -3*a**g + 3*a**4 + 2*a**2 - 2*a**4 = 0. Calculate a.
-1, 0, 1
Let w(b) be the second derivative of b**6/360 + b**5/120 - 5*b**3/6 - b. Let d(s) be the second derivative of w(s). Suppose d(r) = 0. What is r?
-1, 0
Let z(p) be the third derivative of -p**7/525 - p**6/75 - p**5/75 + p**4/15 + p**3/5 + 7*p**2. Suppose z(n) = 0. Calculate n.
-3, -1, 1
Let h(r) be the second derivative of 1/2*r**4 + 0*r**2 + 0*r**3 + 0 - 1/10*r**5 - 4*r. Factor h(m).
-2*m**2*(m - 3)
Let s(l) be the third derivative of l**8/1344 - l**7/420 - l**6/480 + l**5/120 - 13*l**2. What is i in s(i) = 0?
-1, 0, 1, 2
Let d(o) be the first derivative of 4*o**3 + 6*o + 15/2*o**2 + 3/4*o**4 + 2. Find p, given that d(p) = 0.
-2, -1
Factor -2/5*h**2 + 0 + 4/5*h.
-2*h*(h - 2)/5
Let w(x) be the third derivative of x**5/240 - x**4/96 - 12*x**2. Factor w(n).
n*(n - 1)/4
Let d(c) be the third derivative of c**8/151200 - c**7/37800 - c**5/10 - 8*c**2. Let w(i) be the third derivative of d(i). Factor w(p).
2*p*(p - 1)/15
Let h(w) be the first derivative of -4*w**3/3 - 6*w**2 + 16*w - 3. Factor h(d).
-4*(d - 1)*(d + 4)
Let u = 64 + -62. Factor 0*o**u + 3/5*o**3 + 0*o + 3/5*o**4 + 0.
3*o**3*(o + 1)/5
Let v be (2 + 0)/((-1)/(-2)). Suppose -2*a + 4*o = -v*a - 4, 5*a - 1 = o. Factor a*s + 0*s**2 + 2/9*s**3 + 0 + 2/9*s**4.
2*s**3*(s + 1)/9
Let -2/5*d**2 + 8/15 - 8/15*d - 2/15*d**4 + 8/15*d**3 = 0. Calculate d.
-1, 1, 2
Let -22 + 22 - 4*t + 3*t**2 + 11*t**2 + 4*t**3 - 14*t**4 = 0. What is t?
-1, 0, 2/7, 1
What is w in 0*w**2 + 0*w + 2/9*w**4 + 2/9*w**3 + 0 = 0?
-1, 0
Suppose -24*c + 59 = -13. Find y, given that -8/5 + 48/5*y**2 - 12/5*y - 28/5*y**c = 0.
-2/7, 1
Let p(g) = g**2 - 8*g - 6. Let x be p(9). Find w, given that 3 + 4*w + w + 1 - 2 + x*w**2 = 0.
-1, -2/3
Let m(p) = -2*p**3 + 36*p**2 - 14*p + 10. Let j(s) = s**3 - 12*s**2 + 5*s - 3. Let y(h) = 10*j(h) + 3*m(h). Determine b so that y(b) = 0.
0, 1, 2
Let q(d) be the first derivative of 2 + 1/15*d**6 + 64/5*d + 32/3*d**3 + 4/5*d**5 + 4*d**4 + 16*d**2. Determine p, given that q(p) = 0.
-2
Let q(j) = -3*j + 8. Let i be q(6). Let l = -8 - i. Let -2/3*s**4 - 2/3*s**5 + 2/3*s**2 + 0 - 4/3*s + l*s**3 = 0. What is s?
-2, -1, 0, 1
Let n(r) be the first derivative of r**6/18 - r**5/15 - r**4/4 + r**3/9 + r**2/3 - 2. Find o such that n(o) = 0.
-1, 0, 1, 2
Let o be (-808)/60*(-3)/2. Let y = 103/5 - o. Find p, given that 0*p + 2/5*p**5 + 6/5*p**3 - y*p**2 - 6/5*p**4 + 0 = 0.
0, 1
Let a(o) = -o**2 - o - 1. Let q(t) = 6*t**2 + 8*t + 8. Let c(g) = 5*a(g) + q(g). Let b be c(-2). Find x such that x + 3*x - x + b + 2*x**2 + 0*x = 0.
-1, -1/2
Let i(a) = a + 2. Let k be i(-6). Let s = k + 7. Factor -j**2 - 2*j**4 + s*j**4 + 0*j**4.
j**2*(j - 1)*(j + 1)
Suppose q - 1 = 0, 0*q - q = -2*r + 5. Factor -1/2*l**2 - l**4 + 0*l + 0 + 9/4*l**r.
-l**2*(l - 2)*(4*l - 1)/4
Let d(q) = 14*q**3 + 40*q**2 + 2*q - 48. Let r(t) = -9*t**3 - 27*t**2 - t + 32. Let u(l) = 5*d(l) + 8*r(l). Factor u(c).
-2*(c - 1)*(c + 1)*(c + 8)
Factor -8 - 1 + 12*k + 1 - 4*k**2.
-4*(k - 2)*(k - 1)
Let m(k) be the third derivative of 2*k**2 - 1/8*k**4 + 0 + 0*k + 1/40*k**6 - 1/2*k**3 + 1/20*k**5. Factor m(i).
3*(i - 1)*(i + 1)**2
Factor -1/4*w**2 - 1/4*w + 0 - 11/4*w**4 + 9/4*w**3 + w**5.
w*(w - 1)**3*(4*w + 1)/4
Let n = -53 + 107/2. Factor n*u**4 + 3/2*u**3 + 0 + 1/2*u + 3/2*u**2.
u*(u + 1)**3/2
Let t(r) be the third derivative of 0*r**3 + 0 + 0*r + 1/270*r**5 + 0*r**4 - 1/180*r**6 - 4*r**2 - 1/1512*r**8 + 1/315*r**7. Suppose t(g) = 0. Calculate g.
0, 1
Let p be 22/9 - 64/144. Factor 0 - 3/4*t**p - 1/4*t**4 + 3/4*t**3 + 1/4*t.
-t*(t - 1)**3/4
Let r(o) be the first derivative of o**3 + 3*o**2 + 7. Suppose r(x) = 0. What is x?
-2, 0
Determine b, given that b + 1/3*b**2 + 2/3 = 0.
-2, -1
Let r(c) be the first derivative of -8/21*c**3 - 4/7*c + 5/7*c**2 + 1/14*c**4 + 1. Determine q so that r(q) = 0.
1, 2
Find c such that -1/6 + 1/3*c - 1/6*c**2 = 0.
1
Suppose 0 = -n + 4*a + 2, -3*n + 3*a - 2 = -8. Let f = -3/53 - -127/371. Solve -2/7*x**n - 2/7*x + f*x**3 + 2/7 = 0 for x.
-1, 1
Let y(b) be the third derivative of 0 - 1/30*b**5 + 6*b**2 + 0*b + 1/60*b**6 + 1/105*b**7 - 1/12*b**4 + 0*b**3. Find l, given that y(l) = 0.
-1, 0, 1
Let o(n) be the second derivative of n**6/20 - 7*n**5/80 - n**4/12 + 7*n**3/24 - n**2/4 + 6*n. Determine v, given that o(v) = 0.
-1, 1/2, 2/3, 1
Factor -2/9*p + 2/9*p**2 + 0.
2*p*(p - 1)/9
Let f be (-27)/(-21) + 11/(-77). Factor -2