*a**5 + 0*a**3 - 1/280*a**7 + 0*a**4 - 3*a**2 + 0*a. Factor y(f).
-3*f**2*(f - 1)*(f + 2)/4
Let v(p) be the second derivative of -p**8/4200 - p**7/700 - p**6/300 - p**5/300 + p**3/6 + 4*p. Let z(s) be the second derivative of v(s). Solve z(x) = 0.
-1, 0
Let p(d) be the first derivative of 25*d**3/12 + 5*d**2/2 + d + 20. Determine b so that p(b) = 0.
-2/5
Let n(o) = -2*o + 7. Let k be n(2). Determine b so that 5/3*b**4 + 0*b**2 + 0 + 2/3*b**k + 0*b = 0.
-2/5, 0
Find u such that 2/3 + 20/3*u**3 + 14*u**4 - 2*u - 4*u**2 + 6*u**5 = 0.
-1, 1/3
Factor 96*v**3 - 98*v**3 - 3*v**2 + 5*v**2.
-2*v**2*(v - 1)
Let w(i) = 4*i**3 + 2*i - 1. Let v be w(1). Suppose v*u = 7*u. Factor u - 1/3*b - 1/3*b**2.
-b*(b + 1)/3
Let v(q) be the third derivative of -q**7/735 - q**6/420 + q**5/210 + q**4/84 + 8*q**2. Suppose v(t) = 0. What is t?
-1, 0, 1
What is x in -2/3*x**2 + 4/3*x + 0 = 0?
0, 2
Let -2/9*y**2 + 4/9*y + 2/3 = 0. Calculate y.
-1, 3
Factor -2*y**2 + 14*y**3 - 31*y**3 - y + 16*y**3.
-y*(y + 1)**2
Let t(a) = 16*a**3 - 12*a**2 - 28*a + 20. Let s(b) = -b**3 + b - 1. Let y(h) = 20*s(h) + t(h). What is c in y(c) = 0?
-2, -1, 0
Suppose 2*v = 5*h + 11, 3*h = 2*v - v - 6. Let j(i) be the first derivative of 1/2*i**3 + 0*i + 0*i**2 + 3/8*i**4 - v. Factor j(t).
3*t**2*(t + 1)/2
Let c(l) be the second derivative of l**5/20 - l**3/6 + 11*l. What is w in c(w) = 0?
-1, 0, 1
Let x(c) = -3*c**2 + 77*c + 29. Let h be x(26). Let d(g) = g**2 - 2*g - 1. Let t be d(3). Factor -b**h + 1/2 + b - 1/2*b**4 + 0*b**t.
-(b - 1)*(b + 1)**3/2
Factor 0*s + 5*s - 22*s**2 + 27*s**2.
5*s*(s + 1)
Suppose 0 = 5*k - k - 8. Suppose -4*r + 4*s + 2 = 6, -3*r - 2*s = -12. Let -2*f**4 - 4*f**2 - 2*f**4 + 2*f**4 + 4*f**3 + k*f**r = 0. What is f?
0, 1
Let b be 2/3*(9 + -3). Let w(m) = -2*m**3 - 4*m**2 - 2*m - 4. Let q(z) = -1. Let a(n) = b*q(n) - w(n). Factor a(v).
2*v*(v + 1)**2
Let o(h) be the second derivative of 0 + 1/30*h**4 + 4/5*h**2 - 6*h - 4/15*h**3. Suppose o(j) = 0. What is j?
2
Factor -27*u**2 - 12 + 51*u + 9*u + 6 - 6.
-3*(u - 2)*(9*u - 2)
Suppose -2*g - 11 = 3*f - 27, -10 = g - 3*f. Factor k - 2*k**3 + k**5 - 4*k**4 - g*k**2 - 2*k**2 + 8*k**3.
k*(k - 1)**4
Let l(k) be the third derivative of k**6/40 - k**5/10 - 3*k**4/8 + 6*k**2 + k. Factor l(c).
3*c*(c - 3)*(c + 1)
Let q = -667444/199 - -3354. Let u = 404/597 - q. Factor 1/3*y + 0 - u*y**2 + 1/3*y**3.
y*(y - 1)**2/3
Suppose 10/3*m**5 + 16/5*m**3 - 6*m**4 + 0*m + 0 - 8/15*m**2 = 0. Calculate m.
0, 2/5, 1
Let d(n) be the third derivative of n**6/40 + n**5/20 - n**4/4 + 6*n**2. Solve d(c) = 0 for c.
-2, 0, 1
Let k(o) be the third derivative of o**7/12600 - o**6/3600 - o**4/24 - 2*o**2. Let q(a) be the second derivative of k(a). Factor q(r).
r*(r - 1)/5
Let g(j) be the third derivative of -j**7/105 + j**6/15 - j**5/6 + j**4/6 - 5*j**2. Determine k so that g(k) = 0.
0, 1, 2
Factor 0*q + 6*q - 8*q**2 + 18*q**2 - 13*q**2.
-3*q*(q - 2)
Let v(j) be the third derivative of -j**8/30240 - j**7/3780 - j**6/1080 - j**5/30 + j**2. Let g(c) be the third derivative of v(c). Factor g(b).
-2*(b + 1)**2/3
Let j(o) be the first derivative of -1/4*o**3 + o**2 + 0*o + 1 + 1/24*o**4 + 1/120*o**5. Let h(y) be the second derivative of j(y). Let h(m) = 0. Calculate m.
-3, 1
Let j = -135/4 + 34. Suppose -3*p = -2 - 13. Let 1/2*u**2 - j*u**p - 1/2*u**3 - 3/4*u**4 + 1/4 + 3/4*u = 0. Calculate u.
-1, 1
Let x be (-4*3/(-24))/(3/12). Solve -27/7*a + 36/7*a**x - 15/7*a**3 + 6/7 = 0.
2/5, 1
Let i be (-165)/(-60) + 6/(-8). Let n be ((-27)/(-63))/(i/14). Factor 1/4*b**2 + 9/4*b**4 + b**5 + 0*b + 3/2*b**n + 0.
b**2*(b + 1)**2*(4*b + 1)/4
Let g(u) = 6*u**5 + 30*u**4 - 42*u**3 + 6*u**2 - 10*u + 10. Let x(p) = p**5 + p**4 - p**3 - p**2 - p + 1. Let d(l) = -g(l) + 10*x(l). Factor d(w).
4*w**2*(w - 2)**2*(w - 1)
Let q = -11 + 21. Let h = q + -8. Factor -1/2*i**h + 1/2*i**3 - 1/2*i + 0 + 1/2*i**4.
i*(i - 1)*(i + 1)**2/2
Let m(t) be the second derivative of -3*t**5/20 - 6*t. Factor m(y).
-3*y**3
Let -7*w + 3*w**3 + 0*w**2 - 3*w**4 + 4*w + 3*w**2 = 0. What is w?
-1, 0, 1
Let w(c) be the second derivative of c**7/3360 - c**6/480 - c**4/4 - 2*c. Let q(l) be the third derivative of w(l). Solve q(t) = 0 for t.
0, 2
Suppose 4*n + 16 = 5*s, 2*n + 13 = 5. Suppose 0 = r - s*r. Let 1/4*d**2 + r + 0*d = 0. Calculate d.
0
Let k(c) be the first derivative of c**7/4200 - c**5/600 - c**3/3 - 1. Let h(g) be the third derivative of k(g). Suppose h(u) = 0. Calculate u.
-1, 0, 1
Let u(q) be the third derivative of q**8/84 - 7*q**6/30 - 2*q**5/5 + q**2 + 3*q. What is p in u(p) = 0?
-2, -1, 0, 3
Let r(v) be the second derivative of -v**7/42 + v**5/4 - 2*v**3/3 - 53*v. Find a such that r(a) = 0.
-2, -1, 0, 1, 2
Let g(x) be the third derivative of 1/100*x**5 - 2*x**2 + 0 + 0*x - 1/40*x**4 - 1/5*x**3. Determine u, given that g(u) = 0.
-1, 2
Factor -27/5*w - 72/5*w**2 - 3/5 - 48/5*w**3.
-3*(w + 1)*(4*w + 1)**2/5
Let m be ((-86)/(-42) + -2)/(1 - 0). Let k(q) be the second derivative of -2*q + 0 - 1/70*q**5 + 0*q**2 + m*q**3 + 1/105*q**6 - 1/42*q**4. Factor k(s).
2*s*(s - 1)**2*(s + 1)/7
Suppose 4*h - 13 = -3*u + 1, 0 = -3*h - 2*u + 10. Let r be (2/(-1) - -4) + h. Solve 2*x**2 - x**3 - 2*x**4 + 0*x**r - x**3 + 2*x = 0.
-1, 0, 1
Let r be (-6)/(324/(-15)) + 4/18. Solve r*t - 1/4 - 1/4*t**2 = 0 for t.
1
Factor 6*q**2 - 4*q**2 + 1 - q**2 - 2*q.
(q - 1)**2
Let j(f) be the third derivative of -f**7/1260 - f**6/540 + f**3/3 + 4*f**2. Let y(g) be the first derivative of j(g). Factor y(u).
-2*u**2*(u + 1)/3
Let z(n) be the first derivative of -n**8/336 + n**7/60 - 3*n**6/80 + n**5/24 - n**4/48 + n**2/2 + 3. Let r(o) be the second derivative of z(o). Factor r(t).
-t*(t - 1)**3*(2*t - 1)/2
Suppose -13 = -w + 5*g - 0*g, 3*g + 19 = 2*w. Let t = -6 + w. Factor 3*m**t - 3*m**2 + 0*m**4 - m**4.
-m**4
Let x(o) be the first derivative of -o**6/69 - 4*o**5/115 - o**4/46 + 10. Factor x(c).
-2*c**3*(c + 1)**2/23
Let l(i) = -i**3 + 6*i**2 + 8. Let t be l(6). Let j = t + -6. Suppose -2*m**j - 2 + 2*m + m + m = 0. What is m?
1
Let x(g) be the first derivative of -3*g**5/5 - 3*g**4 - 4*g**3 - 7. Factor x(c).
-3*c**2*(c + 2)**2
Let r(a) = a**3 - 1. Suppose -7 = 5*i + 3. Let u(s) = 0 - 9*s**3 + 2 + s**2 + 8*s**3. Let h(l) = i*r(l) - u(l). Factor h(x).
-x**2*(x + 1)
Let y(c) be the second derivative of 5*c + 1/2*c**3 + 0*c**2 - 1/2*c**4 + 3/20*c**5 + 0. Factor y(r).
3*r*(r - 1)**2
Suppose 0 = -b + 1 + 1. Let f(p) = 12*p**2 - p + 1. Let v be f(1). Factor 2*m + m + 5*m - 2*m**4 - v*m**2 - b + 8*m**3.
-2*(m - 1)**4
Suppose -58 - 60*i**3 + 332*i**2 - 102*i**2 + 183 + 5*i**4 - 300*i = 0. Calculate i.
1, 5
Let j(i) be the second derivative of 1/6*i**3 + 2*i + 0 - 1/12*i**4 + i**2. Factor j(p).
-(p - 2)*(p + 1)
Let f(q) be the third derivative of q**8/28 + q**7/14 + q**6/40 + 11*q**2. Determine j, given that f(j) = 0.
-1, -1/4, 0
Let v = -21 - -13. Let g be (-21)/(-30)*v/(-14). Find m such that 0 + g*m**3 + 4/5*m**2 + 0*m = 0.
-2, 0
Let z(n) = 7*n**2 - 15*n. Let b(d) be the first derivative of -12*d**3 + 38*d**2 + 2. Let v(i) = -3*b(i) - 16*z(i). Factor v(g).
-4*g*(g - 3)
Let z(i) = -3*i**5 - 5*i**4 + 3*i**3 - 5*i. Let n(y) = -y**5 - 2*y**4 + 2*y**3 - 3*y. Let r(p) = 5*n(p) - 3*z(p). Find v, given that r(v) = 0.
-1, -1/4, 0
Let q(a) be the second derivative of -2*a**5/35 + 2*a**4/7 - 3*a**3/7 + 2*a**2/7 + 7*a. Suppose q(m) = 0. Calculate m.
1/2, 2
Let m(p) be the second derivative of p**6/12 - p**5/8 - 5*p**4/12 + 4*p. Let m(f) = 0. Calculate f.
-1, 0, 2
Let u be (-4)/22*(-330)/45. Factor u + 4/3*x + 1/3*x**2.
(x + 2)**2/3
What is c in c**4 - 4*c**2 - 2*c**3 + 1/2*c**5 + 0 + 0*c = 0?
-2, 0, 2
Let i(f) = f + 2*f - 2*f - f**2 + 1 - f**4 + 0*f. Let p(y) = -3*y**4 + 3*y**3 - y**2 + 5*y + 4. Let t(x) = -4*i(x) + p(x). Factor t(g).
g*(g + 1)**3
Let u(i) be the second derivative of -i**7/2100 - i**6/900 + i**3/3 + 3*i. Let s(h) be the second derivative of u(h). Factor s(p).
-2*p**2*(p + 1)/5
Let z be (9/(-2))/(1/2). Let u = z - -12. Let -2*w**2 - 1 + 5/2*w + 1/2*w**u = 0. Calculate w.
1, 2
Let n = -75 - -80. Let -4/11*j - 28/11*j**3 + 18/11*j**4 + 18/11*j**2 - 4/11*j**n + 0 = 0. Calculate j.
0, 1/2, 1, 2
Suppose 4*x + 86 = 86. Let l(a) be the second derivative of 0 + 3*a + 0*a**3 + x*a**2 - 1/6*a**4. Factor l(c).
-2*c**2
Factor -4*p**2 - 2*p**