-20). Factor -l*p + 1/6*p**2 + 1/2.
(p - 3)*(p - 1)/6
Let r(h) = 13*h**4 + 19*h**3 + 19*h**2 + 3*h. Let c(w) = -6*w**4 - 10*w**3 - 10*w**2 - 2*w. Let k(q) = 5*c(q) + 2*r(q). Factor k(o).
-4*o*(o + 1)**3
Suppose -4*m + 6*v + 10 = 7*v, 2*m - 5*v = -6. Let z(x) = x - 3. Let p be z(3). Factor -3/5*c**4 + 0*c + 0 + p*c**m - 3/5*c**3.
-3*c**3*(c + 1)/5
Suppose -v - 7*v = -2*v. Factor -2/9*b**2 + v + 4/9*b.
-2*b*(b - 2)/9
Let u(m) = -15*m**3 - 45*m**2 - 36*m + 3. Let c(h) = h**2 + h - 1. Let s = -21 - -12. Let j(r) = s*c(r) - u(r). Factor j(p).
3*(p + 1)**2*(5*p + 2)
Let j = 6 + -4. Let b be (-2 - 1)/(1/(-3)). Factor -2*y**2 + 2*y**4 + 0*y**4 - j*y - 7*y**3 + b*y**3.
2*y*(y - 1)*(y + 1)**2
Let b(j) = 6*j**2 - 6*j - 6. Let n be 6*(3/3)/2. Let z(d) = 7*d**2 - 7*d - 6. Let x(a) = n*z(a) - 4*b(a). Determine w so that x(w) = 0.
-1, 2
Factor 5*n**5 + 1 - 43*n**3 + 28*n**3 - 5*n**4 + 5*n**2 - 1 + 10*n.
5*n*(n - 2)*(n - 1)*(n + 1)**2
Let l(s) = s. Let w(b) = 7*b + 14. Let c(t) = -6*l(t) + w(t). Let g be c(-11). Factor 1 + 0*n**3 - 3*n**g + n - n**2 + 2*n**3.
-(n - 1)*(n + 1)**2
Factor -6/5*p**3 + 0 + 2/5*p**5 - 2*p**2 - 4/5*p + 2/5*p**4.
2*p*(p - 2)*(p + 1)**3/5
Suppose 2*y + 35 = 7*y. Let j = y - 4. Let 4*l**2 - 3*l**j + 5*l**3 + 6*l - 4*l = 0. Calculate l.
-1, 0
Let y(j) be the third derivative of -j**2 + 0*j**4 + 0*j + 0*j**3 - 1/56*j**8 - 8/105*j**7 - 7/60*j**6 - 1/15*j**5 + 0. Let y(h) = 0. What is h?
-1, -2/3, 0
Suppose -p + 20 = 17. Let k(g) be the first derivative of 0*g + 1/10*g**4 + 4/15*g**p + 1/5*g**2 - 4. Factor k(z).
2*z*(z + 1)**2/5
Let i(d) = d**3 - 7*d**2 + 6*d + 3. Let t = -17 - -23. Let z be i(t). Factor -1/3*l**4 + 1/3*l**5 + 0*l - 1/3*l**z + 0 + 1/3*l**2.
l**2*(l - 1)**2*(l + 1)/3
Let g(s) be the first derivative of 0*s**3 - 1/80*s**5 - 3*s + 0*s**2 - 1/24*s**4 - 1 + 1/40*s**6. Let v(c) be the first derivative of g(c). Factor v(z).
z**2*(z - 1)*(3*z + 2)/4
Let b(r) be the third derivative of -r**5/330 + r**4/22 - 3*r**3/11 - 10*r**2. Solve b(o) = 0.
3
Let v be -1 + -1 + 84/(-90)*-3. Factor -24/5*j**2 + 14/5*j**3 + v + 6/5*j.
2*(j - 1)**2*(7*j + 2)/5
Let y(b) be the second derivative of -b + 5/7*b**3 + 0 + 9/7*b**2 + 1/6*b**4 + 1/70*b**5. What is u in y(u) = 0?
-3, -1
Let i(m) be the first derivative of 0*m**2 + 0*m + 1/6*m**4 + 1/9*m**3 + 1/15*m**5 + 4. Solve i(j) = 0.
-1, 0
Let y(h) be the second derivative of -h**6/30 - 3*h**5/20 - h**4/12 + h**3/2 + h**2 - 6*h. Let y(o) = 0. What is o?
-2, -1, 1
Let a(o) be the third derivative of o**7/280 - 11*o**6/160 + 27*o**5/80 - 25*o**4/32 + o**3 + 12*o**2. Find x such that a(x) = 0.
1, 8
Let g(u) = 3*u - 7. Let z(o) = -13*o + 29. Let w(b) = 9*g(b) + 2*z(b). Let i be w(7). Suppose -1/4*s + 3/4*s**i + 0 - 3/4*s**3 + 1/4*s**4 = 0. Calculate s.
0, 1
Suppose 3*l - 3 = 3. Determine r, given that -1 + 0*r**l + 2*r**2 - r**2 + 2*r - 2*r**2 = 0.
1
Let c(k) = -5*k**3 + k**2 - k - 1. Let i be c(-1). Suppose 0 = i*d - 2*d. Let d + 0*w**2 + 2/7*w**3 + 0*w = 0. Calculate w.
0
Let r(w) = -2*w**2 + 2. Let u(o) = -3*o**2 + 3. Let z(b) = -5*r(b) + 4*u(b). Determine v so that z(v) = 0.
-1, 1
Let l(s) be the second derivative of -s**4/3 + 2*s**3 + 15*s. Factor l(d).
-4*d*(d - 3)
Let 18/5*l + 2/5*l**2 + 0 = 0. What is l?
-9, 0
Let c = 3 - 1. Let t(x) = x**2 - 2. Let d be t(c). Solve -d*f**2 - 8 + 3*f + 6*f - f = 0 for f.
2
Let z(h) = h**3 + 8*h**2 + 5*h - 11. Let y be z(-7). Factor -6/5*w**y - 6/5*w**2 - 2/5*w + 0 - 2/5*w**4.
-2*w*(w + 1)**3/5
Let a(x) be the second derivative of -1/4*x**4 + 0*x**3 + 3/2*x**2 + 0 + x. Factor a(h).
-3*(h - 1)*(h + 1)
Let y(l) be the third derivative of 0 + l**2 - 1/24*l**4 + 0*l - 1/30*l**5 + 1/6*l**3. Let a(f) = 2*f**2 - 2. Let t(k) = 3*a(k) + 4*y(k). Solve t(s) = 0.
-1
Let j(u) be the second derivative of u**4/4 + 3*u**3 - 2*u - 11. Factor j(w).
3*w*(w + 6)
Let g(x) be the second derivative of x**6/6 - 5*x**4/12 - 52*x. Factor g(q).
5*q**2*(q - 1)*(q + 1)
Let g = 19/15 + -11/10. Let c(i) be the second derivative of 0 - i**2 + 0*i**3 + g*i**4 + i. Factor c(y).
2*(y - 1)*(y + 1)
Let h be (-348)/(-168) - 4/7. Let d(a) be the first derivative of -3/4*a**4 + 3 - h*a**2 + 0*a - 2*a**3. Factor d(s).
-3*s*(s + 1)**2
Let t(w) = -14*w**3 - 14*w**2 + 11*w. Let i(m) = 5*m**3 + 5*m**2 - 4*m. Let b(s) = 17*i(s) + 6*t(s). Determine c so that b(c) = 0.
-2, 0, 1
Let x(m) = m**2 + m - 5. Let i be x(-4). Suppose -i*c + 22 = -5*c. Solve -15*t - 6 - c*t**2 - 4*t**3 - t**2 + t**3 = 0 for t.
-2, -1
Let c(d) be the first derivative of -3/10*d**5 - 9/8*d**4 + 0*d + 1 + 0*d**2 - d**3. Factor c(u).
-3*u**2*(u + 1)*(u + 2)/2
Let z = 4 + -10. Let w be (-5)/z + 10/15. Factor -w*c - 5/2*c**2 + 1.
-(c + 1)*(5*c - 2)/2
Suppose -21*x = 29*x - 45*x. Suppose 1/6*p**2 - 1/6 + x*p = 0. What is p?
-1, 1
Solve 2/5*o**5 + 2/5*o**3 + 0 + 6/5*o**2 - 6/5*o**4 - 4/5*o = 0.
-1, 0, 1, 2
Suppose 2*m - 4*m = h - 3, 0 = h + m - 3. Find l such that -l + 0*l**4 + 0*l**4 - l**5 + 2*l**h = 0.
-1, 0, 1
Let v(u) be the first derivative of u**3/12 - u**2/4 + u/4 - 2. Factor v(x).
(x - 1)**2/4
Let p(y) be the third derivative of y**10/17280 + y**9/12096 - y**8/13440 + y**4/8 - 2*y**2. Let k(g) be the second derivative of p(g). Solve k(t) = 0 for t.
-1, 0, 2/7
Let v(m) be the third derivative of -m**8/280 - m**7/420 + m**3/6 - m**2. Let z(r) be the first derivative of v(r). Suppose z(w) = 0. What is w?
-1/3, 0
Let f be (4 - (-60)/(-10))/(1 - 2). Let a(j) be the third derivative of -1/60*j**6 - 4/3*j**3 + 1/10*j**5 + 0 + 0*j + 4*j**f + 0*j**4. Let a(u) = 0. What is u?
-1, 2
Let -1/3*i + 1/2*i**4 + 7/6*i**3 - 5/6*i**5 - 1/2*i**2 + 0 = 0. Calculate i.
-1, -2/5, 0, 1
Let f be -1*(-8)/20*5. Factor k**2 - 2*k**2 + 10*k**f - 3*k**3.
-3*k**2*(k - 3)
Let m(c) be the first derivative of c**6/12 - c**5/10 - 3*c**4/8 + c**3/6 + c**2/2 + 27. What is q in m(q) = 0?
-1, 0, 1, 2
Let 9*t**3 - t - 10*t**3 - 3*t**3 - 4*t**2 = 0. What is t?
-1/2, 0
Suppose 9/5*q**2 - 3/5*q**3 + 0 - 6/5*q = 0. What is q?
0, 1, 2
Let w(p) be the first derivative of -p**5/100 + p**4/20 - p**3/10 + p**2 + 5. Let s(j) be the second derivative of w(j). Factor s(h).
-3*(h - 1)**2/5
Let g(x) = -x**4 + 9*x**3 + 21*x**2 - 109*x + 99. Let i(m) = -4*m**4 + 44*m**3 + 104*m**2 - 544*m + 496. Let f(h) = 16*g(h) - 3*i(h). Factor f(n).
-4*(n - 2)**3*(n + 3)
Suppose 9*f - 12 = 15. Find u, given that 0*u**2 + 0 - 2/5*u + 2/5*u**f = 0.
-1, 0, 1
Let i(b) be the second derivative of b**6/360 - b**3/6 + 3*b. Let z(k) be the second derivative of i(k). Let z(p) = 0. What is p?
0
Let v(u) be the third derivative of -1/420*u**6 - 5/84*u**4 - 2*u**2 + 0 + 0*u - 2/21*u**3 + 2/35*u**5 - 4/735*u**7. Let v(i) = 0. Calculate i.
-2, -1/4, 1
Let c(k) = -9*k**2 - 9*k. Let o(i) = -3*i**2 - 3*i. Suppose 2*h = -2*h + 68. Let u(q) = h*o(q) - 6*c(q). Factor u(f).
3*f*(f + 1)
Let a be -20*2*(-21)/15. Let t be (-24)/a + 38/56. What is f in 3/4*f + t*f**3 + 3/4*f**2 + 1/4 = 0?
-1
Let -819/2*c**4 - 216*c - 24 - 147/2*c**5 - 804*c**3 - 660*c**2 = 0. Calculate c.
-2, -1, -2/7
Suppose -5*j - 3 = -6*j. Let k(o) be the second derivative of 1/6*o**4 - 7/50*o**5 + 1/25*o**6 + 0 - o - 1/15*o**j + 0*o**2. Suppose k(w) = 0. What is w?
0, 1/3, 1
Let m(v) be the first derivative of v**4/4 + v**3/3 - v**2/2 - v + 7. Factor m(u).
(u - 1)*(u + 1)**2
Let w be (-2)/(-5) - (-26)/10. Factor -1 + 2*r - 3 + w - r**2.
-(r - 1)**2
Let l(r) be the second derivative of r**8/2520 - r**7/1260 - r**6/270 - 3*r**3/2 + 5*r. Let m(b) be the second derivative of l(b). Factor m(i).
2*i**2*(i - 2)*(i + 1)/3
Let g(i) = 3*i**2 + 3*i. Let p(z) = z**2 + z. Let f(j) = 3*g(j) - 6*p(j). Solve f(a) = 0 for a.
-1, 0
Determine f, given that 4/5*f**3 + 12/5*f**2 + 0*f + 0 = 0.
-3, 0
Let d(z) be the first derivative of z**7/105 - z**5/30 - z**2 + 3. Let s(m) be the second derivative of d(m). Find w, given that s(w) = 0.
-1, 0, 1
Let z(f) be the first derivative of -2/27*f**3 + 0*f - 1/9*f**2 + 3. Factor z(p).
-2*p*(p + 1)/9
Solve -24/11*h**2 + 0 + 2/11*h**3 + 2*h = 0.
0, 1, 11
Let z be 40/42 - (32/(-28))/(-4). Factor 0*a + 2/3*a**3 - z*a**4 + 0 + 0*a**2.
-2*a**3*(a - 1)/3
Let 1/3*z**2 - 7/3 - 2*z = 0. Calculate z.
-1, 7
Suppose -5*v + 25 = 3*s + 6, 0 = -5*s - 4*v + 23. Factor 1/2*r**s + 1/2*r**2 + 0*r + 0.
r**2*(r + 1)/2
Let k(j) be the second derivative of 3