z be a(-4). Factor z*p**3 + 2*p + 11*p**2 - 10*p**2 - 3*p**3.
-p*(p - 2)*(p + 1)
Let c = 13 + -2. Suppose n - 5*m + 6 + c = 0, 5*n - 5*m = -5. Factor -4*w**2 + 3*w**3 - 2*w**3 + 2*w + w**n + 0*w.
2*w*(w - 1)**2
Suppose 4 = -c + 7. Let d = 3 - c. Solve d - 2/3*p**2 + 0*p = 0 for p.
0
Let s = 0 - -3. Suppose 4 = s*j - 2. Factor j*z**2 + z + 2*z**3 + z**2 - 6*z**2 + z**3 - z**4.
-z*(z - 1)**3
Let l(n) = n - 3. Let g be l(6). Factor -u**4 - 224*u**2 + 224*u**2 - u**g.
-u**3*(u + 1)
Let i be (-26)/(-6) - 6/18. Let u be 1 + -1 + (2 - 1). Suppose -4 - u + 2*c**3 + i + c**4 - 2*c = 0. What is c?
-1, 1
Let w(b) = 3*b. Let t be 0/(-1) + 1 + 0. Let x be w(t). What is a in 2/7 + 2/7*a - 4/7*a**2 + 2/7*a**4 - 4/7*a**x + 2/7*a**5 = 0?
-1, 1
Let o(b) be the third derivative of b**7/840 - b**6/240 + b**4/48 - b**3/24 - 5*b**2. Factor o(r).
(r - 1)**3*(r + 1)/4
What is p in 4 + 0*p**2 + p - 2*p**3 - 2*p**3 - 4*p**2 + 3*p = 0?
-1, 1
Let d(t) be the second derivative of 0*t**3 - 4*t + 1/60*t**4 - 1/150*t**5 + 3/2*t**2 + 0. Let x(c) be the first derivative of d(c). Factor x(n).
-2*n*(n - 1)/5
Determine m, given that 0*m + 4*m**4 + m - 12*m**2 + 0*m**4 + 7*m = 0.
-2, 0, 1
Suppose -2*p = 3*v - 8, -4*p - 2 = 4*v - 14. Let u(f) be the first derivative of -16*f**v + 8*f + 2 + 10/3*f**3 + 25/2*f**4. Factor u(l).
2*(l + 1)*(5*l - 2)**2
Let o(y) = 2 - 2*y - 3 - 3 + 0. Let n be o(-3). Solve 2/5*w + 2/5 + 2/5*w**5 - 4/5*w**n - 4/5*w**3 + 2/5*w**4 = 0.
-1, 1
Let r(h) = h**4 + 1. Let a(i) be the first derivative of i**6/6 + i**5/5 + i**4/4 - i + 3. Let l(g) = a(g) + r(g). Factor l(t).
t**3*(t + 1)**2
Let v(x) be the second derivative of 4/3*x**3 + 4*x**2 + 0 + 1/6*x**4 - 3*x. Suppose v(p) = 0. What is p?
-2
Suppose -5*b + 19 = 4. Suppose b*l = 4*l. Let l*f + 18/5*f**3 + 0 - 4/5*f**2 - 14/5*f**4 = 0. Calculate f.
0, 2/7, 1
Let o(v) = -8*v**4 + 47*v**3 - 183*v**2 + 277*v - 163. Let x(l) = l**4 + l**3 + l**2 + l + 1. Let w(j) = -o(j) - 3*x(j). Factor w(f).
5*(f - 4)*(f - 2)**3
Let m(g) be the second derivative of 32*g**7/147 - 48*g**6/35 + 97*g**5/35 - 12*g**4/7 + 8*g**3/21 + 17*g. Suppose m(i) = 0. Calculate i.
0, 1/4, 2
Let f(t) = -t**2 + 7*t. Let o be f(6). Let p = -17 - -26. Suppose -o*x**2 - p*x**4 + 1 + 0 + 6*x**4 + 8*x**3 = 0. Calculate x.
-1/3, 1
Find o, given that 6*o**3 - 10*o**2 - 10*o**3 + 4*o - 2*o**2 - 12*o**3 = 0.
-1, 0, 1/4
Let b = 445/1748 - 2/437. Solve -1/2*h**2 + 0 + 0*h + b*h**3 = 0.
0, 2
Let j(m) be the third derivative of -m**5/30 - m**4/12 - 6*m**2. Factor j(o).
-2*o*(o + 1)
Let l = 3 - -1. Find y, given that 20*y**5 - 3*y**2 + 21*y**3 + 10*y**5 - 6*y**5 - 42*y**l = 0.
0, 1/4, 1/2, 1
Let u = 8 - 8. Suppose 2*w - 4 = -u*w - z, 4*w - 5*z = 8. Factor -5/2*l**w + 1/2*l**3 + 4*l - 2.
(l - 2)**2*(l - 1)/2
Let n(r) be the second derivative of r**7/231 - r**5/55 + r**3/33 - 31*r. Factor n(i).
2*i*(i - 1)**2*(i + 1)**2/11
Suppose -u = -2*c - 2, -2*u + 0*u + 2*c = -8. Let -22/7*x + u*x**2 + 4/7 + 10/7*x**4 - 34/7*x**3 = 0. Calculate x.
2/5, 1
Let s be -5*((-2)/1 - -1). Suppose 0 = -4*k + 5*m + 8 - 1, s*k - 3*m = 12. Solve -4*x**3 + 6*x**2 + 7*x**k - 3*x**2 = 0.
-1, 0
Let u = 4 - 8. Let n(y) = -4*y**3 + 6*y**2 - 3*y + 1. Let l(z) = 9*z**3 + 7*z**3 - 1 + 3*z - 11*z**3 - 7*z**2. Let x(v) = u*n(v) - 3*l(v). Factor x(i).
(i - 1)**3
Factor 12*h + h - 41 + 3*h**2 - h + 50.
3*(h + 1)*(h + 3)
Let i = 10 - 11. Let n be (1 + -1)*i/(-1). Determine d so that 2/9*d**3 + n - 2/9*d - 2/9*d**2 + 2/9*d**4 = 0.
-1, 0, 1
Let v(t) be the second derivative of -t**6/75 + t**5/50 + 2*t**4/15 - 4*t**3/15 - 12*t. Let v(i) = 0. What is i?
-2, 0, 1, 2
Suppose 2*k - 4 = -3*y, y = -2*k - 4 - 0. Let v(z) be the third derivative of -3/32*z**y - z**2 + 0*z - 1/12*z**3 + 0 - 7/240*z**5. Factor v(u).
-(u + 1)*(7*u + 2)/4
Determine j, given that 33*j**2 + 1 + 9*j**3 - 4 - 3 + 50*j - 7*j**4 - 39*j = 0.
-1, 2/7, 3
Factor 1/4*s**2 + 1/2*s + 1/4.
(s + 1)**2/4
Let q(w) be the third derivative of -w**5/30 + w**4/12 + 4*w**2. Suppose q(i) = 0. What is i?
0, 1
Let a(r) = r**5 + 7*r**4 - 7*r**3 - r**2 - 6. Let x(j) = j**3 + 5 - 4 + 0*j**3 - j**4. Let z(t) = a(t) + 6*x(t). Factor z(g).
g**2*(g - 1)*(g + 1)**2
Let i be (10/15)/((-10)/(-18)). Let z = -1494/5 - -300. Factor i*j**4 - 2/5*j**5 - 4/5*j**3 - 4/5*j**2 - 2/5 + z*j.
-2*(j - 1)**4*(j + 1)/5
Let c(r) be the first derivative of r**7/1120 + r**6/240 + r**5/160 + 2*r**3 - 9. Let a(o) be the third derivative of c(o). Determine s, given that a(s) = 0.
-1, 0
Suppose 1/6 + 1/2*w**4 - 1/3*w - 2/3*w**2 + 1/3*w**3 = 0. Calculate w.
-1, 1/3, 1
Let v(r) be the first derivative of -r**9/3024 + r**8/840 - r**7/840 + r**3/3 + 3. Let o(g) be the third derivative of v(g). Determine f so that o(f) = 0.
0, 1
Let n = -33 - -128. Let r be n/75 - (-4)/(-6). Factor 0*i**3 + 0*i + 0*i**2 + 0 + r*i**4 - 3/5*i**5.
-3*i**4*(i - 1)/5
Let d(v) be the second derivative of -3*v**5/5 - 5*v**4/2 + 23*v**3/8 - 9*v**2/8 + 10*v. Factor d(k).
-3*(k + 3)*(4*k - 1)**2/4
Let a = -65 - -457/7. Let -2/7*h**2 - 2/7*h + 2/7*h**3 + a = 0. What is h?
-1, 1
Let x(b) = -b - 14. Let r be x(-6). Let i = r + 10. Suppose 0*k**i + k**2 + 8*k**3 + k**2 - 6*k**3 = 0. What is k?
-1, 0
Let m(k) be the second derivative of 2*k + 0*k**3 + 0*k**5 - 1/12*k**4 + 1/30*k**6 + 0*k**2 + 0. Determine h, given that m(h) = 0.
-1, 0, 1
Determine m so that -m**3 + 0*m + m**5 + 0 + 1/2*m**4 - 1/2*m**2 = 0.
-1, -1/2, 0, 1
Suppose 3*p = -3*x + 2*x - 92, 0 = 3*x - 4*p + 224. Let k be (-10)/6*x/300. Suppose -2/9 + k*v - 2/9*v**2 = 0. What is v?
1
Let y(c) = c**3 - 4*c**2 - 4*c - 5. Let f be y(5). Suppose -3*l - 12 = f, -6*b - 2*l = -b - 2. Factor -9/4*a**3 - 3*a**b + 0 + 3/2*a**4 + 3/4*a**5 + 3*a.
3*a*(a - 1)**2*(a + 2)**2/4
Let l(h) be the second derivative of -h**7/2520 + h**6/240 - h**5/60 + h**4/6 + h. Let t(w) be the third derivative of l(w). Find a, given that t(a) = 0.
1, 2
Let z be ((-5)/(-2))/(1/2). Suppose 5*o + 5*h = 35, z*o - h - 2*h = -5. Factor o*c**2 + 2*c**2 + 3*c**3 + 2*c**3 + c**3.
2*c**2*(3*c + 2)
Let l(r) = -2*r**3 - 10*r**2 + 8*r - 22. Let m be l(-6). Factor 0 - 1/4*n**m - 1/2*n.
-n*(n + 2)/4
Let s(g) = -5*g**3 - 2*g - 3 - 2*g - 3*g**2 + 3*g. Let w(v) = -4*v**3 - 2*v**2 - 2. Let d = 3 - 6. Let l(r) = d*w(r) + 2*s(r). Factor l(z).
2*z*(z - 1)*(z + 1)
Let z(a) be the first derivative of -a**9/3024 + a**8/560 - a**6/90 - a**3 + 4. Let t(u) be the third derivative of z(u). Factor t(h).
-h**2*(h - 2)**2*(h + 1)
Let y(o) be the third derivative of -5*o**5/12 + 55*o**4/8 + 35*o**3/3 - 13*o**2. Let y(l) = 0. Calculate l.
-2/5, 7
Let s(u) be the second derivative of 1/60*u**5 - 7*u + 0*u**4 + 0 - 1/36*u**3 + 0*u**2 - 1/252*u**7 + 0*u**6. Suppose s(n) = 0. Calculate n.
-1, 0, 1
Let g be (6/(-15))/((-30)/25). Factor -1/3*l**2 + 1/3 + 1/3*l**3 - g*l.
(l - 1)**2*(l + 1)/3
Let n = 6 - 6. Let z(t) be the first derivative of n*t - 1/8*t**2 - 1/6*t**3 - 2 - 1/16*t**4. Factor z(s).
-s*(s + 1)**2/4
Let t be (2 - -2)/(35/21). Factor 18/5 - t*a + 2/5*a**2.
2*(a - 3)**2/5
Let k = -10/3 - -43/12. Let q(h) be the first derivative of 2/5*h**5 - 2/3*h**3 + 0*h - 4 - k*h**4 + 1/2*h**2. Find a such that q(a) = 0.
-1, 0, 1/2, 1
Let l(m) be the second derivative of 1/48*m**4 + 0 + 0*m**3 - 1/8*m**2 + 4*m. Suppose l(b) = 0. What is b?
-1, 1
Let q be (665/14)/19*(-2)/(-30). Factor q*y - 1/6*y**3 + 0 + 0*y**2.
-y*(y - 1)*(y + 1)/6
Let w(y) = 6*y**2 + 2*y + 4. Let x(v) = -7*v**2 - 2*v - 5. Let j(c) = c**2 + 3*c - 5. Let k be j(2). Let r(i) = k*w(i) + 4*x(i). Suppose r(a) = 0. What is a?
-1, 0
Factor 0*y + 0 + 2/7*y**3 + 4/7*y**2.
2*y**2*(y + 2)/7
Let r(s) be the first derivative of -5*s**3/2 - 27*s**2/2 + 12*s + 19. Factor r(u).
-3*(u + 4)*(5*u - 2)/2
Let q(b) be the second derivative of b**9/13608 + b**8/2520 + b**7/1260 + b**6/1620 + b**3/3 + 5*b. Let w(j) be the second derivative of q(j). Factor w(m).
2*m**2*(m + 1)**3/9
Let g(q) = q**4 - 24*q**3 - 108*q**2 - 219*q - 159. Let p(y) = 2*y**4 - 72*y**3 - 324*y**2 - 656*y - 478. Let m(a) = 8*g(a) - 3*p(a). Factor m(l).
2*(l + 3)**4
Let r be 4/3 + (88/24 - 3). Factor 1/7*x + 2/7 - 1/7*x**r.
-(x - 2)*(x + 1)/7
Let x(z) be the first derivative of 9*z**5 - 33*z**4 - 5*z**3 + 9*z**2 + 11. Find a, given that x(a) = 0.
-2/5, 0, 1/3, 3
Let l(v) = -20*v**3 - 14*v**2 - v + 7. Let x(u) = -21*u**3 -