(p + 1)/5
Let l = -12 + 17. Let h(g) be the third derivative of 0*g**3 + 1/150*g**l + 0*g + 1/30*g**4 - g**2 + 0. Let h(p) = 0. What is p?
-2, 0
Let c = -71 + 204. Determine a, given that 12*a + 7 - 3 + 107*a**3 - c*a**4 - 147*a**5 + 28*a + 129*a**2 = 0.
-1, -1/3, -2/7, 1
Suppose -17 = -2*v - 5*q, -v + 0*q = -2*q - 4. What is b in -4*b**2 + 6*b**2 + 4 + 0*b**2 + v*b = 0?
-2, -1
Let q(j) be the second derivative of j**5/120 + j**4/24 + j**3/12 - j**2/2 - 4*j. Let k(a) be the first derivative of q(a). Factor k(g).
(g + 1)**2/2
Let q(r) be the first derivative of -4*r**3/3 - 14*r**2/5 - 8*r/5 - 3. Factor q(z).
-4*(z + 1)*(5*z + 2)/5
Let y(c) be the first derivative of c**6/21 - 2*c**5/35 - c**4/7 + 4*c**3/21 + c**2/7 - 2*c/7 + 35. Suppose y(l) = 0. Calculate l.
-1, 1
Let f(v) be the third derivative of v**2 + 0*v - 5/24*v**4 + 1/15*v**5 + 1/3*v**3 + 0 - 1/120*v**6. Factor f(r).
-(r - 2)*(r - 1)**2
Let g = -3 + 3. Let f be ((-4)/8)/(-1 + g). Find y, given that 1/4*y**2 + 1/4 - f*y = 0.
1
Let d(y) be the third derivative of 0*y + 0*y**3 + 0 + 1/20*y**5 - 3*y**2 + 0*y**4. Factor d(o).
3*o**2
Factor -4/3*t**4 - 4*t**3 + 0*t + 0 - 8/3*t**2.
-4*t**2*(t + 1)*(t + 2)/3
Let t(v) be the second derivative of v**6/120 + v**5/20 + v**4/24 - v**3/6 - 3*v**2/8 + 3*v. Solve t(c) = 0.
-3, -1, 1
Suppose -7*i = -12*i + 10. Let l(w) be the first derivative of -2 + 0*w - 1/3*w**3 + 0*w**i. Factor l(g).
-g**2
Suppose l = -3 + 7. Let a(z) = 7*z**4 + 3*z**3 + 3*z**2 - 3*z - 5. Let h(i) = 6*i**4 + 2*i**3 + 2*i**2 - 2*i - 4. Let c(t) = l*a(t) - 5*h(t). Factor c(k).
-2*k*(k - 1)**2*(k + 1)
Let k = -187/4 + 47. Find h, given that -3/4*h**3 + 0*h + 1/4*h**2 - k*h**5 + 0 + 3/4*h**4 = 0.
0, 1
Let k(w) be the first derivative of w**5/10 + w**4/2 + w**3 + w**2 - 3*w + 5. Let d(m) be the first derivative of k(m). Determine q so that d(q) = 0.
-1
Let b = 111/5 + -22. Solve b*l**2 + 0 + 2/5*l = 0 for l.
-2, 0
Suppose -7 - 25 = -4*a + 4*h, -3*a = 3*h. Suppose -3*u + a = -u. Factor 0*w**u + 0 + 1/3*w**4 - 1/3*w**3 + 0*w.
w**3*(w - 1)/3
Suppose l = 3*l - 10. Let r(v) be the second derivative of 3/80*v**l + 1/120*v**6 - 1/8*v**3 + 1/48*v**4 + 0 - 1/4*v**2 - v. Factor r(a).
(a - 1)*(a + 1)**2*(a + 2)/4
Let z = 18 + -18. Factor 6*g**2 - 3*g**4 - 3*g**5 - 3 + z*g**4 + 6*g**3 - 3*g + 0*g**3.
-3*(g - 1)**2*(g + 1)**3
Suppose 24/5 - 3/5*a**3 + 6/5*a**2 - 1/5*a**4 + 28/5*a = 0. What is a?
-2, 3
Let a(o) = 3*o**3 - 15*o**2. Let j(b) = 2*b - 3. Let h be j(-3). Let l(w) = -2*w**3 + 8*w**2. Let f(p) = h*l(p) - 5*a(p). Factor f(y).
3*y**2*(y + 1)
Solve -1/3*n**2 + 0 - 8/3*n = 0.
-8, 0
Suppose -4 - 17 = -3*k. Let n(y) be the third derivative of 1/315*y**k + 0*y**4 + 0*y + 1/270*y**5 + 1/135*y**6 + 2*y**2 + 0*y**3 + 0. Factor n(j).
2*j**2*(j + 1)*(3*j + 1)/9
Find x, given that 11*x**3 - 16*x**3 + 9*x - 4*x = 0.
-1, 0, 1
Let u = -1013/5 + 203. Factor -1/5 - 1/5*s**2 - u*s.
-(s + 1)**2/5
Determine f, given that 28*f + 20*f**2 - 15*f**4 + 8 - 17*f**4 + 0*f**4 + 4*f**4 - 20*f**3 - 8*f**5 = 0.
-2, -1, -1/2, 1
Suppose 47 = 5*u + 17. Suppose -z = -3*b, 5 = 4*b + 1. Factor -3*o**3 - 3 + u*o + 5*o**z + 1 - 6*o**2.
2*(o - 1)**3
Let r(d) be the second derivative of -d**6/360 - d**5/90 - d**4/72 - 3*d**2 + 4*d. Let g(m) be the first derivative of r(m). Factor g(y).
-y*(y + 1)**2/3
Let r(g) be the second derivative of -g**5/180 + g**4/36 + g**3/6 + 3*g**2/2 + 6*g. Let t(s) be the first derivative of r(s). Find n, given that t(n) = 0.
-1, 3
Let n(o) be the third derivative of o**8/1050 + 2*o**7/1575 + o**6/1800 - o**4/24 + 5*o**2. Let s(a) be the second derivative of n(a). Factor s(z).
2*z*(4*z + 1)**2/5
Let d(b) = -b**3 + b**2 + b. Let s(k) = -k**3 + k**2 + 5*k. Let a(w) = -5*d(w) + s(w). Factor a(h).
4*h**2*(h - 1)
Let r = -12 + 16. Let d(n) be the first derivative of 0*n - 1/5*n**2 - 4/15*n**3 - 3 - 1/10*n**r. Factor d(k).
-2*k*(k + 1)**2/5
Let s(q) be the third derivative of -q**5/20 - 3*q**4/8 - 19*q**2. Suppose s(f) = 0. What is f?
-3, 0
Let t be (-3)/4 + 6 + (-5 - 0). Let a(c) be the second derivative of 0 - 3/16*c**4 - 1/120*c**6 - 7/24*c**3 + c - t*c**2 - 1/16*c**5. Solve a(z) = 0.
-2, -1
Let m = -10 - -10. Let y(n) be the second derivative of 1/20*n**5 + 0*n**2 + 0 + m*n**3 + 0*n**4 + 2*n. Solve y(f) = 0.
0
Let x(d) be the second derivative of 1/135*d**6 + 0*d**5 - 2*d + 0 + 0*d**2 + 0*d**3 - 1/54*d**4. Factor x(m).
2*m**2*(m - 1)*(m + 1)/9
Let w(d) be the second derivative of 9*d**5/40 - 2*d**4/3 - d**3/3 + d. Find h, given that w(h) = 0.
-2/9, 0, 2
Let u be (8/(-4))/((-4)/46). Let w = -23 + u. Factor -2/3 + w*j + 2/3*j**2.
2*(j - 1)*(j + 1)/3
Let h = 9 - 6. Suppose -18 = -k + h*i, -2*i + i - 11 = -2*k. Factor -2/9*y**2 + 0 + 2/9*y**4 - 2/9*y**5 + 2/9*y**k + 0*y.
-2*y**2*(y - 1)**2*(y + 1)/9
Let w(r) = 16*r**2 - 18*r + 17. Let y(o) = -7*o**2 + 9*o - 8. Let s(h) = -2*w(h) - 5*y(h). Factor s(g).
3*(g - 2)*(g - 1)
Let u(p) = p**3 + p**2 + 1. Let r(h) = 5*h**3 + 9*h**2 - 2*h + 6. Let n(x) = r(x) - 6*u(x). Let n(s) = 0. What is s?
0, 1, 2
Let x(t) be the first derivative of t**5/300 - t**4/60 + 3*t**2/2 + 3. Let g(p) be the second derivative of x(p). Determine r so that g(r) = 0.
0, 2
Suppose -32 = -4*n - 3*i, 0 = -2*n - 5*i + 8*i - 2. Solve -3/2*j**4 + 0 + 0*j**2 + 0*j + 0*j**3 + 3/2*j**n = 0 for j.
0, 1
Let t(x) be the second derivative of -x**6/195 - 3*x**5/130 - x**4/26 - x**3/39 + 2*x. Solve t(g) = 0 for g.
-1, 0
Let n = 7 + -11. Let h be 0 - n*4/72. Factor h*y**3 + 0 - 2/9*y + 0*y**2.
2*y*(y - 1)*(y + 1)/9
Let o be (-1)/((-11)/(99/4)) - 2. Factor -1/4*c**5 - o*c**2 - 3/4*c**3 - 3/4*c**4 + 0*c + 0.
-c**2*(c + 1)**3/4
Let h(v) be the first derivative of 2*v**6/15 - 4*v**5/25 - v**4 + 4*v**3/15 + 16*v**2/5 + 16*v/5 - 4. Let h(x) = 0. What is x?
-1, 2
Let s(l) = -2*l**2 + 7*l - 4. Let g be s(4). Let k be (g/25)/(4/(-20)). Factor -k*d**2 - 4/5 - 2/5*d**3 - 2*d.
-2*(d + 1)**2*(d + 2)/5
Let l(r) be the first derivative of 0*r**3 + 1/2*r**4 + 3 + 0*r - r**2. Factor l(j).
2*j*(j - 1)*(j + 1)
Let c(f) = f**3 + 9*f**2 + f + 9. Let l be c(-9). Let u(h) be the third derivative of 1/180*h**5 + 1/18*h**3 + 0*h - h**2 - 1/36*h**4 + l. Solve u(q) = 0.
1
Let a(w) be the first derivative of -w**6/1620 + w**5/270 + 4*w**3/3 - 7. Let h(y) be the third derivative of a(y). Let h(n) = 0. What is n?
0, 2
Let c be ((-24)/(-2))/(7 - 5). Let k(f) = f**3 - 7*f**2 + 6*f + 3. Let d be k(c). What is p in -2*p**3 - 6*p**3 + 3*p**3 + 3*p**d = 0?
0
Let v(g) be the third derivative of g**7/3780 - g**5/180 - g**4/54 + g**3/6 + 4*g**2. Let k(c) be the first derivative of v(c). Factor k(w).
2*(w - 2)*(w + 1)**2/9
Let a(b) be the third derivative of -3*b**2 - 1/28*b**4 + 0 + 1/210*b**5 + 0*b**3 + 0*b. Factor a(w).
2*w*(w - 3)/7
Let f be 2/(-3) - (-16720)/37944. Let b = -2/527 - f. Factor b*u**2 + 2/3*u**3 - 4/9 + 2/9*u**4 - 2/3*u.
2*(u - 1)*(u + 1)**2*(u + 2)/9
Suppose j = -4*q + 2, -q + 6 = 3*j - 0. Let z(l) be the second derivative of -1/9*l**3 + 1/9*l**4 - l + q*l**2 - 1/30*l**5 + 0. Factor z(t).
-2*t*(t - 1)**2/3
Factor 3*k**2 + 14*k - 37*k + 17*k.
3*k*(k - 2)
Suppose b + 42 = 4*h, h + 4*b = -2*h + 22. Let -5*x**4 + 10*x**3 + 4*x - h*x**2 - 5 + 2 + x + 2 + x**5 = 0. Calculate x.
1
Let i(l) be the third derivative of -2*l**7/105 - l**6/15 + l**5/5 - 54*l**2. Find x, given that i(x) = 0.
-3, 0, 1
Suppose -2*y + 1 = 2*d + 3, 4*y + d - 5 = 0. Let w be ((-4)/(-10))/((-8)/(-30)). Solve -1/4 - y*u**3 + 0*u + w*u**2 + 3/4*u**4 = 0 for u.
-1/3, 1
Let p(d) be the first derivative of 0*d**2 + 0*d - 1/4*d**4 + 0*d**3 + 1. Determine g, given that p(g) = 0.
0
Let b(f) = f + 2*f**2 + 2*f - 4*f + 1. Let u be b(1). Determine c so that 2*c**3 + 6*c**4 - c**5 - 3*c**2 - c**2 + 2*c**3 + 3*c**5 - 6*c - u = 0.
-1, 1
Determine p so that -30/7 + 36/7*p - 6/7*p**2 = 0.
1, 5
Let q(k) = k**3 + 9*k**2 - 9*k - 1. Let s(j) = -8*j**2 + 8*j. Let d(u) = -4*q(u) - 6*s(u). What is x in d(x) = 0?
1
Let f(w) be the second derivative of w**7/42 + 2*w**6/15 + w**5/4 + w**4/6 - 4*w. Factor f(y).
y**2*(y + 1)**2*(y + 2)
Let h(m) be the second derivative of m**4/54 - 2*m**3/9 + m**2 - 4*m. Factor h(y).
2*(y - 3)**2/9
Let s(d) be the second derivative of 2/75*d**6 + 7/30*d**3 + 0 + 4*d + 13/100*d**5 + 1/10*d**2 + 1/4*d**4. Factor s(r).
(r + 1)**3*(4*r + 1)/5
Suppose 0 = 2*g