 Let b(p) = -13*p**2 + 15*p + 17. Let j(r) = 6*b(r) - 11*i(r). Factor j(k).
-(k - 3)*(k + 1)
Let s = 3 - 1. Solve -6*u**3 + u**5 + 2*u**5 - 4*u**2 - 3*u**5 + s*u**5 = 0.
-1, 0, 2
Let i(x) be the first derivative of -3*x**5/5 + 6*x**3 + 12*x**2 + 9*x - 6. Factor i(v).
-3*(v - 3)*(v + 1)**3
Let y(r) be the first derivative of r**6/60 + 3*r**5/40 + r**4/8 + r**3/12 + 3*r + 3. Let v(u) be the first derivative of y(u). Factor v(p).
p*(p + 1)**3/2
Let x(h) be the second derivative of h**7/1050 - h**6/600 - h**2 - 2*h. Let p(a) be the first derivative of x(a). Determine y so that p(y) = 0.
0, 1
Let h be -1 + -1 - (-1 + -1). Suppose 2*a - 2 = h, 0*p = 3*p + 3*a - 15. Determine u so that -6*u**p + 4*u**5 + u**3 - 6*u**5 - 4*u**3 - 3*u**3 - 2*u**2 = 0.
-1, 0
Let y = 3 - 3. What is c in 3*c**4 + c**3 - 11*c**2 + 9*c**2 + y*c**4 = 0?
-1, 0, 2/3
Suppose -h - 15 = -4*h. Suppose 4*j + 28 = 11*j. Let 0*d + 1/2*d**j + 0*d**3 + 0*d**2 + 1/2*d**h + 0 = 0. Calculate d.
-1, 0
Let o(y) be the third derivative of -y**8/70560 + y**7/17640 + y**6/1260 - y**5/20 + 8*y**2. Let f(l) be the third derivative of o(l). Solve f(c) = 0.
-1, 2
Let v = -1371/44 + 125/4. Let c(w) be the second derivative of 2/33*w**3 + 0*w**4 - v*w**2 + 1/165*w**6 + 4*w + 0 - 1/55*w**5. Factor c(t).
2*(t - 1)**3*(t + 1)/11
Let l(o) be the second derivative of o**4/54 - o**2/9 + 15*o. Let l(i) = 0. Calculate i.
-1, 1
Factor 8*x**2 - 3 - 2*x**2 - 2*x**4 - x**4 + 0*x**2.
-3*(x - 1)**2*(x + 1)**2
Let q(p) be the third derivative of p**8/1680 - p**7/525 + p**5/150 - p**4/120 - 9*p**2. Find o such that q(o) = 0.
-1, 0, 1
Let 0 + 0*h - 1/5*h**3 + 2/5*h**2 = 0. Calculate h.
0, 2
Let k(o) = -o**3 + 6*o**2 + o - 6. Let f be k(6). Suppose 2*l + l - 9 = f. Find r such that -2/3*r**4 + 0 + 0*r + 2/9*r**2 + 4/9*r**l = 0.
-1/3, 0, 1
Let t(a) = -4*a**3 + 14*a**2 - 38*a + 16. Let o(w) = 4*w**3 - 15*w**2 + 37*w - 16. Let q(d) = -6*o(d) - 5*t(d). Find m such that q(m) = 0.
1, 2
Let b be 2/(3 + -5)*0. Find a, given that 4*a**2 - 2*a**5 - 2 - 2*a**3 + 0*a - 2*a**4 + 6*a**3 - 2*a + b*a**4 = 0.
-1, 1
Factor -4*x - 4/5*x**4 + 8/5 + 4/5*x**3 + 12/5*x**2.
-4*(x - 1)**3*(x + 2)/5
Suppose 3*x + x - 8 = 0. What is q in 3 - 3*q**2 + q**2 - q**x = 0?
-1, 1
Let n(v) = 7*v**2 - 5*v. Let s(w) = -3*w**2 + 2*w. Let u(r) = -4*n(r) - 9*s(r). Factor u(h).
-h*(h - 2)
Factor 0 - 1/5*h**5 - 1/5*h**2 - 3/5*h**3 - 3/5*h**4 + 0*h.
-h**2*(h + 1)**3/5
Let r(i) = 2*i**2 - 2*i - 8. Suppose 5*w + 7 = -18. Let y(m) = -m**2 + m + 5. Let l(h) = w*r(h) - 8*y(h). What is v in l(v) = 0?
0, 1
Let f = -4 - -38/9. Let -4/9*c**3 + 0 + f*c**2 - 2/9*c**4 + 4/9*c = 0. What is c?
-2, -1, 0, 1
Suppose q - 2*q = s - 4, -s - 5*q = -12. Find k, given that 3/2*k - 9/4*k**s + 3/4 = 0.
-1/3, 1
Let j(o) be the first derivative of -o**5/90 + o**4/18 - o**3/9 + o**2 + 3. Let w(z) be the second derivative of j(z). Suppose w(x) = 0. What is x?
1
Let l be (-16)/(-6) + (-2)/3. Factor 4*g**l - g**2 + 4 + g**2 - 2 + g**3 + 5*g.
(g + 1)**2*(g + 2)
Let j = 5 - -1. Let x = 6 - j. Find w, given that x*w**2 + 0 - 2/11*w**3 + 2/11*w = 0.
-1, 0, 1
Let f = -103 - -282. Let g = 1255/7 - f. Factor 8/7*a**4 + 0*a**3 + g*a + 0 - 6/7*a**2.
2*a*(a + 1)*(2*a - 1)**2/7
Let q(c) be the third derivative of c**9/47520 - c**8/55440 + c**5/60 - 3*c**2. Let w(u) be the third derivative of q(u). Find p such that w(p) = 0.
0, 2/7
Factor 75/4*r**2 + 108 + 126*r + 3/4*r**3.
3*(r + 1)*(r + 12)**2/4
Let s(b) = -3 + 4 + b - 2*b. Let c(m) = -m**2 + 5. Let l = -8 - -7. Let n(q) = l*c(q) + 2*s(q). Suppose n(o) = 0. Calculate o.
-1, 3
Let c(v) be the third derivative of 0*v**3 + 0 - 1/130*v**5 + 0*v - 1/1365*v**7 + 1/156*v**4 + 1/260*v**6 - 6*v**2. Determine h so that c(h) = 0.
0, 1
Let i(y) = -y**3 - 2*y**2 + y. Let m(o) = 2*o**3 + 2*o**2 - o. Let s(a) = -6*i(a) - 4*m(a). Factor s(u).
-2*u*(u - 1)**2
Solve -98/11 + 28/11*a - 2/11*a**2 = 0.
7
Suppose -k + 0*k + 2 = 5*v, 4*v + 4 = 2*k. Let m(g) be the third derivative of 0 - g**2 - 4/21*g**3 + v*g - 1/21*g**4 - 1/210*g**5. Solve m(b) = 0 for b.
-2
Factor -4/17*y - 2/17*y**2 + 2/17*y**3 + 0.
2*y*(y - 2)*(y + 1)/17
Factor -3/2*i**3 + 0*i - 1/2*i**5 - 1/2*i**2 + 0 - 3/2*i**4.
-i**2*(i + 1)**3/2
Let f = -1242/7 + 178. Let q be 4/(5*((-3)/15 - -3)). Let -4/7*x**2 + 0 + 0*x**3 - q*x**5 + f*x**4 + 2/7*x = 0. What is x?
-1, 0, 1
Let l be (-16)/24*366/4. Let g = l - -133. Suppose 48*d**4 - 5*d + 15*d**2 + 12*d**2 + 2*d - g*d**3 = 0. What is d?
0, 1/4, 1
Let u(v) = v**3 + v**2 + 4*v. Let b(s) = -2*s**3 - s**2 - 5*s. Let n(f) = 2*b(f) + 3*u(f). What is l in n(l) = 0?
-1, 0, 2
Let z be 520/(-143) - (-6 + 2). Find o such that -2/11*o**2 - z*o - 2/11 = 0.
-1
Let m(s) be the first derivative of 1/10*s**2 + 0*s + 5 + 3/20*s**4 - 1/5*s**3 - 1/25*s**5. Factor m(c).
-c*(c - 1)**3/5
Factor 3*t + 3/2*t**2 + 0.
3*t*(t + 2)/2
Let l(d) = 4*d**5 - 3*d**4 + 3*d**3 - 5*d**2. Let i = -14 - -10. Let u(s) = -4*s**5 + 2*s**4 - 2*s**3 + 4*s**2. Let k(b) = i*l(b) - 5*u(b). Factor k(c).
2*c**3*(c + 1)*(2*c - 1)
Let p(h) be the first derivative of -h**3 - 3*h**2/2 + 6*h + 5. Suppose p(l) = 0. Calculate l.
-2, 1
Let a(y) be the third derivative of 0*y**3 + 0*y - 4*y**2 + 0 - 1/840*y**7 + 1/240*y**6 - 1/240*y**5 + 0*y**4. Suppose a(s) = 0. Calculate s.
0, 1
Let z(b) be the third derivative of -b**8/504 + b**7/63 - b**6/18 + b**5/9 - 5*b**4/36 + b**3/9 - b**2. Factor z(v).
-2*(v - 1)**5/3
What is h in -1/4*h**2 + 1/2*h**3 + 0 - 1/2*h + 1/4*h**4 = 0?
-2, -1, 0, 1
Let s(o) = -4*o**2 - 10*o + 6. Suppose b + 0*b = 11. Let c be (b - 4/2) + 2. Let w(a) = -19*a**2 - 50*a + 31. Let i(g) = c*s(g) - 2*w(g). Factor i(u).
-2*(u + 2)*(3*u - 1)
Let r(l) be the second derivative of -l**4/42 + 2*l**3/21 + 5*l. Factor r(z).
-2*z*(z - 2)/7
Let r be ((-4)/(-7))/((-2)/(-7)). Suppose -r*g - 9 = 3*v, -9 = -3*g + 5*v - 2*v. Factor 0*k**2 + 2/7*k**3 - 2/7*k + g.
2*k*(k - 1)*(k + 1)/7
Let c(h) be the first derivative of 4*h**3/15 + 6*h**2/5 - 11. Factor c(u).
4*u*(u + 3)/5
Let l(z) be the second derivative of -z**5/240 - z**4/48 - z**3/24 + 3*z**2/2 + 2*z. Let x(c) be the first derivative of l(c). Solve x(a) = 0 for a.
-1
Let y be 7/(-4)*(3 - (-69)/(-21)). Factor y*c + 0 + 1/2*c**2.
c*(c + 1)/2
Let d(q) be the third derivative of q**5/240 - q**4/32 + q**3/12 + 7*q**2. Determine c so that d(c) = 0.
1, 2
Let x(c) be the first derivative of c**7/2520 + c**6/270 + c**5/90 + 8*c**3/3 + 4. Let t(f) be the third derivative of x(f). Let t(s) = 0. What is s?
-2, 0
Let z(r) be the first derivative of 0*r - 1/30*r**5 - r**2 + 1/12*r**4 + 2/3*r**3 + 1. Let s(w) be the second derivative of z(w). Factor s(f).
-2*(f - 2)*(f + 1)
Let p(u) be the second derivative of 0 - 1/45*u**5 + 1/54*u**4 - 1/9*u**2 - 2*u + 2/27*u**3. Factor p(i).
-2*(i - 1)*(i + 1)*(2*i - 1)/9
Let g(n) be the second derivative of 5*n**4/48 + n**3/12 - 23*n. Factor g(j).
j*(5*j + 2)/4
Let s = -266 - -802/3. Factor s - 2/3*c - 2/3*c**2.
-2*(c - 1)*(c + 2)/3
Let y(k) be the first derivative of -1 - 1/2*k**2 + 1/4*k**4 + 0*k + 0*k**3. Let y(r) = 0. What is r?
-1, 0, 1
Let p(o) be the third derivative of -o**5/80 - 11*o**2. Factor p(w).
-3*w**2/4
Let o be (2 - 0)/(13 - (5 + -2)). Let l(x) be the first derivative of -x**2 + 2 - o*x**5 + x + 1/2*x**4 + 0*x**3. Factor l(t).
-(t - 1)**3*(t + 1)
Let n(s) be the first derivative of -s**6/4 + 3*s**5/10 + 27*s**4/8 + 11*s**3/2 + 3*s**2 + 6. Determine k, given that n(k) = 0.
-1, 0, 4
Let m(q) = -8*q**3 - 8*q**2 + 11. Let h(g) = 3*g**3 + 3*g**2 - 4. Let s(f) = -11*h(f) - 4*m(f). Determine y so that s(y) = 0.
-1, 0
Let y(g) be the first derivative of -2*g**5/5 - 3*g**4/2 - 4*g**3/3 + 1. Let y(b) = 0. Calculate b.
-2, -1, 0
Let d(i) be the first derivative of -i**8/1344 - i**7/840 + i**6/480 + i**5/240 - 3*i**2 - 5. Let n(w) be the second derivative of d(w). Factor n(c).
-c**2*(c - 1)*(c + 1)**2/4
Let v(q) be the first derivative of -q**3/5 + 9*q**2/10 - 1. Factor v(i).
-3*i*(i - 3)/5
Let g(t) be the second derivative of -t**7/21 - 7*t**6/45 - t**5/10 + t**4/6 + 2*t**3/9 + 49*t. Find z such that g(z) = 0.
-1, 0, 2/3
Solve -8*p**4 - 9*p + 48*p**2 - 8*p**4 + 4*p**3 + 29*p - 8 = 0 for p.
-1, 1/4, 2
Let i(q) be the first derivative of 0*q + 1/12*q**3 - 1/8*q**2 + 2. Factor i(b).
b*(b - 1)/4
Let t(z) = -z**5 + z**3 + z**2 + z + 1. 