 2*o**3/3 + 2. Let w(r) be the third derivative of t(r). Factor w(p).
-3*p*(3*p + 2)/5
Let z(n) be the third derivative of n**5/240 + n**4/8 - 13*n**3/24 + 46*n**2. Suppose z(c) = 0. What is c?
-13, 1
Let d(p) be the third derivative of p**6/300 + p**5/50 + p**4/20 + p**3/15 - 12*p**2. What is x in d(x) = 0?
-1
Let c(j) be the second derivative of -j**4/54 + 5*j**3/27 - 2*j**2/3 + 2*j. Suppose c(v) = 0. What is v?
2, 3
Suppose -4*g - b + 9 = 0, -g + 3*g = 3*b + 15. Suppose 0 = 4*x - 5*v - 22, 6*x - x - 7 = -4*v. Factor -3 + j + 2*j + 3*j**2 - x*j**3 - g*j + 3*j.
-3*(j - 1)**2*(j + 1)
Let l be (-2)/(-9)*(-9)/(-120). Let u(h) be the third derivative of -1/360*h**6 - l*h**5 + 2*h**2 + 0 - 1/24*h**4 + 0*h - 1/18*h**3. Factor u(g).
-(g + 1)**3/3
Factor -6/5*b**2 + 6/5 - 9/5*b.
-3*(b + 2)*(2*b - 1)/5
Suppose -4*f = -3*f - 24. Let x be 0 - (f/15 + -2). Suppose -6/5*m**3 - 8/5*m**4 + 0*m + 0 + x*m**2 = 0. Calculate m.
-1, 0, 1/4
Let j(v) = v - 7. Let m be j(8). Suppose -m = -c - 3*i + 5, -i = -1. Determine r, given that r - 2 + 0*r**2 - 2*r**2 + c*r = 0.
1
Let u(d) be the first derivative of -3 + 1/2*d**3 + 0*d + 0*d**2 + 3/8*d**4. Factor u(x).
3*x**2*(x + 1)/2
Let a(l) be the second derivative of 0*l**3 + 1/120*l**6 + 3*l + 0*l**4 + 1/60*l**5 + 0 - 1/2*l**2. Let u(k) be the first derivative of a(k). Factor u(b).
b**2*(b + 1)
Let r be 14/4 - (-3)/(-6). Suppose 0 = r*j + 3 - 15. Determine c, given that -3*c**5 + 0*c**5 + 2*c**4 - 2*c**2 - c + j*c**5 = 0.
-1, 0, 1
Factor 4*a - 8/3*a**2 - 4/3.
-4*(a - 1)*(2*a - 1)/3
Let a = -4499/6 + 750. Let t = -4 + 8. Factor 1/3*k**t - 1/6*k**2 - a*k**3 + 0 + 0*k.
k**2*(k - 1)*(2*k + 1)/6
Let u(f) be the second derivative of -f**4/60 + f**3/30 + f. Factor u(r).
-r*(r - 1)/5
Let k = 3 + -3. Suppose 4*q - 1 = -a + 10, -3*a + 9 = k. Let f**2 + 2*f + 4 - f**2 + f**q - 6*f = 0. What is f?
2
Let a(w) be the first derivative of -36*w**6/5 - 516*w**5/25 - 16*w**4 + 4*w**3 + 48*w**2/5 + 16*w/5 - 20. Solve a(x) = 0.
-1, -2/3, -2/9, 1/2
Let z(v) = 12*v**4 - 8*v**3 - 20*v**2 + 64*v + 48. Let u(i) = 4*i**4 - 3*i**3 - 7*i**2 + 21*i + 16. Let k(t) = -16*u(t) + 5*z(t). Let k(x) = 0. Calculate x.
-1, 2
Let z(b) be the third derivative of 1/40*b**6 - 1/8*b**4 + 0 + 1/70*b**7 + 0*b + 0*b**3 - 4*b**2 - 1/20*b**5. Suppose z(p) = 0. Calculate p.
-1, 0, 1
Let i(c) = c**2 + 12*c + 11. Let t be i(-11). Let l be (-2)/(-9) + (0 - t). Factor 0 + 4/9*r + l*r**2.
2*r*(r + 2)/9
Factor -2/13*u**3 + 2/13 + 6/13*u**2 - 6/13*u.
-2*(u - 1)**3/13
Let o(n) = 5*n - 5. Let x be o(1). Let q(t) be the second derivative of x + 0*t**2 + 1/48*t**4 + t + 1/24*t**3. Factor q(c).
c*(c + 1)/4
Let l(u) = -u**4 - u**3 - 1. Let t(b) = -34*b**3 + 30*b**2 - 14*b - 6. Suppose 10 + 22 = 4*s. Let z(m) = s*l(m) - t(m). What is p in z(p) = 0?
1/4, 1
Let d(w) = -w**3 + 6*w**2 - 5. Let v(m) = m**3 - 6*m**2 + m + 4. Let o(c) = 4*d(c) + 5*v(c). Let o(b) = 0. Calculate b.
0, 1, 5
Let i be (22/8 + -3)*0. Let v(w) be the first derivative of 2/3*w**3 - 2*w + 1 + i*w**2. Factor v(g).
2*(g - 1)*(g + 1)
Let k(j) be the third derivative of j**6/12 - j**5/4 + 5*j**4/24 - 2*j**2 - 7*j. Factor k(d).
5*d*(d - 1)*(2*d - 1)
Let m(k) be the third derivative of -1/108*k**6 - 1/135*k**5 + 0*k**4 + 0*k + 0 + 5*k**2 + 0*k**3. What is i in m(i) = 0?
-2/5, 0
Let t = -8 - -7. Let o be t + 1 + -2 + 2. What is g in -2/5*g**5 + 2/5*g**4 + 0*g - 2/5*g**2 + 2/5*g**3 + o = 0?
-1, 0, 1
Let i(s) = s**3. Let v(n) = 6*n**3 + n**2 - 4*n - 1. Let t(x) = -2*i(x) + v(x). Suppose t(h) = 0. Calculate h.
-1, -1/4, 1
Let c be 0 - 2/(-6) - 0. Let r(o) = 2*o + 12. Let x be r(-5). Determine m so that -1/3*m**x + c + 0*m = 0.
-1, 1
Let h = 599/66 - 98/11. Determine d, given that -1/6*d**2 + 1/3 - h*d = 0.
-2, 1
Let y = 65/4 - 129/8. Let k(w) be the first derivative of -1/24*w**6 - 1/4*w - y*w**2 + 1/8*w**4 + 3 + 1/6*w**3 - 1/20*w**5. Factor k(h).
-(h - 1)**2*(h + 1)**3/4
Let p(o) be the second derivative of 0 + 2*o + 0*o**4 + 2*o**3 + 0*o**2 - 27/20*o**5. Factor p(v).
-3*v*(3*v - 2)*(3*v + 2)
Determine b, given that 3*b**4 + 12*b + 2*b**3 - 15 - 5*b**3 - 18*b**2 + 29 + 10 = 0.
-2, -1, 2
Let j(w) be the second derivative of -w**4/96 - w**3/16 + w**2/4 + 28*w. Factor j(k).
-(k - 1)*(k + 4)/8
Let i(d) be the first derivative of -2/45*d**3 + 0*d + 2 + 0*d**2. Find b, given that i(b) = 0.
0
Factor 74*z**3 - 33*z**3 - 36*z**3 + 10*z**2 - 5*z**4.
-5*z**2*(z - 2)*(z + 1)
Determine q so that 0 + 2/9*q**2 - 40/9*q**5 - 2*q**3 + 0*q + 16/3*q**4 = 0.
0, 1/5, 1/2
Let f(k) be the third derivative of -3/14*k**3 + 1/8*k**4 + 0*k + 1/280*k**6 - 1/28*k**5 + 0 - 8*k**2. Factor f(z).
3*(z - 3)*(z - 1)**2/7
Let i(w) = -5*w - 1. Let o(n) = n**2 + 1. Let l(q) = 6*q**2 + 11*q + 7. Let k(h) = -l(h) + 5*o(h). Let j(f) = -7*i(f) + 3*k(f). Find y such that j(y) = 0.
-1/3, 1
Suppose -2*j = -4*o - o - 13, 4*j = -3*o + 65. Let y = j - 12. Solve 1/2*q**3 + 1/2*q + 0 - q**y = 0.
0, 1
Let v be 8 + -1 - 6/3. Suppose -11 - v = -4*x. Let -14*y**4 + 2*y**2 - 8*y**3 + 4*y + 2*y**3 + x*y**2 - 6*y**5 = 0. What is y?
-1, 0, 2/3
Factor -216/5 + 108/5*x - 18/5*x**2 + 1/5*x**3.
(x - 6)**3/5
Factor 1/5*z**3 + 2/5*z**2 - z - 6/5.
(z - 2)*(z + 1)*(z + 3)/5
Let t = -20 - -28. Determine h so that -h**4 + 4*h**3 - 5*h**3 - 6*h**3 + t*h**3 + 2*h**2 = 0.
-1, 0, 2
Determine k, given that 0 + 4/7*k + 2*k**2 + 10/7*k**4 + 2/7*k**5 + 18/7*k**3 = 0.
-2, -1, 0
Suppose -3*g + 90 = -6*g. Let b be (-4)/g*(-20)/(-12). Factor b*d**2 - 2/9*d + 0.
2*d*(d - 1)/9
Let l be 20/(-75) + 8/12. Suppose 2 = 2*h - 2. Determine c so that 2/5*c**h - l*c - 4/5 = 0.
-1, 2
Let w(d) = 4*d**3 - 9*d**2 - 11*d + 16. Let f(i) = -4*i**3 + 8*i**2 + 12*i - 16. Let q(l) = -5*f(l) - 4*w(l). What is t in q(t) = 0?
-2, 1, 2
Let y = 440 + -440. Factor 0 - 2/7*r**3 + y*r + 0*r**2 - 12/7*r**4 - 18/7*r**5.
-2*r**3*(3*r + 1)**2/7
Let b(h) be the second derivative of -h - 1/140*h**5 + 0 + 1/28*h**4 - 1/7*h**2 - 1/210*h**6 + 1/42*h**3. Factor b(c).
-(c - 1)**2*(c + 1)*(c + 2)/7
Let u(z) = z**4 - 11*z**3 + 6*z**2 + 19*z + 16. Let y(w) = -w**4 + 10*w**3 - 5*w**2 - 20*w - 16. Let c(q) = -4*u(q) - 5*y(q). Suppose c(h) = 0. What is h?
-1, 4
Solve -2/5*w - 2/5*w**4 - 2/5*w**5 + 4/5*w**3 + 4/5*w**2 - 2/5 = 0 for w.
-1, 1
What is z in 1/2*z**2 + 0 - 1/4*z**3 + 3/4*z = 0?
-1, 0, 3
Let i(p) be the second derivative of -p**7/42 + p**6/30 + p**5/10 - p**4/6 - p**3/6 + p**2/2 - 3*p. Let i(t) = 0. Calculate t.
-1, 1
Let z(o) be the third derivative of o**6/120 - o**5/12 + o**4/8 + 3*o**3/2 - 3*o**2. Find v, given that z(v) = 0.
-1, 3
Let n be (3/3)/(-1) - 0. Let i be -1 + n + 2 + 2. Find r, given that 1/4*r + 1/4 - 1/4*r**i - 1/4*r**3 = 0.
-1, 1
Let z(c) = -10*c**5 + 4*c**4 - 2*c**3 + 8*c**2 - 12*c + 12. Let h(d) = 2 + d**3 - d - 2*d**3 + d**2 - 2 + 1. Let i(g) = -12*h(g) + z(g). Solve i(b) = 0 for b.
-1, 0, 2/5, 1
Let f(k) be the third derivative of -1/150*k**5 + 0*k**3 + 0*k + 0 + k**2 + 1/120*k**4. Factor f(m).
-m*(2*m - 1)/5
Let r(c) be the third derivative of c**10/453600 - c**9/60480 + c**8/30240 + c**5/60 - 2*c**2. Let k(j) be the third derivative of r(j). Factor k(p).
p**2*(p - 2)*(p - 1)/3
Let k(o) = -6*o - 4*o**2 + o**2 + 8 + 4*o**3 - 10 - o**2. Let m(c) = -5*c**3 + 5*c**2 + 7*c + 3. Let n(x) = 3*k(x) + 2*m(x). Factor n(v).
2*v*(v - 2)*(v + 1)
Let k(d) = d**4 + d**3 + d**2 + d - 1. Let m(p) = 3*p**4 - 3*p**3 + 3*p**2 + p - 1. Let g(u) = 2*k(u) - 2*m(u). Let g(r) = 0. What is r?
0, 1
Let d(o) be the third derivative of -o**8/20160 + o**7/3780 - o**6/2160 + o**4/24 - 3*o**2. Let w(u) be the second derivative of d(u). What is z in w(z) = 0?
0, 1
What is a in -1/2*a**3 + 2*a - 1/2*a**4 + 0 + 2*a**2 = 0?
-2, -1, 0, 2
Factor 189*a**2 - 90*a + 12 - 147/2*a**3.
-3*(a - 2)*(7*a - 2)**2/2
Suppose 3/5*x**3 + 4/5*x**2 - 1/5*x - 2/5 = 0. Calculate x.
-1, 2/3
Let j = 4 + -7. Let t be (1 + j)*2/(-2). Factor -4*h + 3 - 1 - h**t - 1 - 5.
-(h + 2)**2
Let v(l) be the second derivative of -l**7/6300 + l**6/300 - 3*l**5/100 - l**4/6 + 6*l. Let i(j) be the third derivative of v(j). Factor i(k).
-2*(k - 3)**2/5
Let l(i) = 16*i**4 + 8*i**3 - 16*i**2 + 4*i - 12. Let s(t) = t**4 + t**3 - t - 1. Let p(u) = l(u) - 12*s(u). Factor p(k).
4*k*(k - 2)*(k - 1)*(k + 2)
Suppose 15 = 4*j - 81. Factor -9*g**4 + 0*g**2 + 6*g**2 - 21*g**3 + j*g**4.
3*g**2*(g