+ 2*k**2 + 4*k. Let w(g) = -6*n(g) - 13*r(g). Factor w(b).
-b*(b - 2)*(b + 1)
Let s(u) be the first derivative of 2*u**5/5 + u**4 - 3. Factor s(h).
2*h**3*(h + 2)
Let d(s) = s**3 + 11*s**2 + 9*s + 11. Let t be d(-10). Let v(m) = m**2 + m + 1. Let k(z) = 8*z**2 + 6*z + 7. Let n(w) = t*v(w) - 3*k(w). Factor n(r).
-3*r*(r - 1)
Let u be 4/10 + 0/(-8). Let z be (-2)/(-5)*1 - 0. Factor 2/5*l**2 + z*l**3 - 2/5 - u*l.
2*(l - 1)*(l + 1)**2/5
Let p be (1 - -2)*2/3. Let 4/3*v**p - 2/3*v**5 - 4/3*v**4 + 0*v**3 + 2/3*v + 0 = 0. Calculate v.
-1, 0, 1
Factor -7*r**2 + 25*r**2 + 4 - 17*r + 35*r.
2*(3*r + 1)*(3*r + 2)
Let v(c) be the first derivative of -4 + 2/5*c**5 - 1/2*c**4 - 4/3*c**3 + 1/6*c**6 + 2*c + 1/2*c**2. Solve v(m) = 0.
-2, -1, 1
Let h(x) be the first derivative of -4*x**3/9 + x**2/3 - 7. Factor h(c).
-2*c*(2*c - 1)/3
Let p be ((-4)/(-6))/((-2)/(-12)). What is y in -2*y**3 + 0 + 8/5*y**p + 0*y + 4/5*y**2 - 2/5*y**5 = 0?
0, 1, 2
Let n(h) be the second derivative of -h**4/48 - h**3/8 - h**2/4 + h. Factor n(c).
-(c + 1)*(c + 2)/4
Let f = 0 + 3. Suppose k - f = -1. Factor 4/3*g**3 + 2/3*g**4 + 0 + 0*g + 2/3*g**k.
2*g**2*(g + 1)**2/3
Suppose -v + 3 - 1 = -l, 0 = -l + 5*v - 22. Let r(i) = i + 2. Let u be r(3). Let u*y - 8*y**2 - 14*y**l - 10*y**2 + 10*y + 8 + 9*y = 0. What is y?
-2, -2/7, 1
Let c = -555/4 + 139. Determine v, given that -c - 3/4*v**3 - 7/4*v**2 - 5/4*v = 0.
-1, -1/3
What is a in -90*a**2 + 4*a**3 - 40 - 108*a + 44*a - 36*a - 5*a**4 - 39*a**3 = 0?
-2, -1
Suppose 6 - 21 = -3*s. Factor -5*g**3 - 5*g**2 + 3*g - s*g - 2*g**2.
-g*(g + 1)*(5*g + 2)
Factor 0*d**2 - 3/2 + 3*d**3 + 3/2*d**4 - 3*d.
3*(d - 1)*(d + 1)**3/2
Let w = -14 - -16. Let i(t) be the first derivative of -t**2 - t + w - 1/3*t**3. Determine p, given that i(p) = 0.
-1
Let o(d) be the third derivative of -1/60*d**6 + 0 + 0*d**5 + 0*d + 0*d**3 - 1/70*d**7 + 0*d**4 + d**2 - 1/336*d**8. Factor o(t).
-t**3*(t + 1)*(t + 2)
Factor 4/15*t**3 + 2/15*t**4 + 2/15*t**2 + 0*t + 0.
2*t**2*(t + 1)**2/15
Let p be (12/(-2) - -6)/2. Suppose 1/3*j**4 + 2/3*j**3 - 1/3*j**5 + p*j + 0 + 0*j**2 = 0. What is j?
-1, 0, 2
Factor -78*o + 11*o**4 + 5*o**4 + 8 - 104*o**3 + 1 + 193*o**2.
(o - 3)**2*(4*o - 1)**2
Suppose -b + 2 = 5*o, 3*b + 0*o = o + 6. Suppose 5*a = -3*n + 40, -6*a + 3*n = -b*a - 5. Factor -3*r**3 + a*r**3 + 0*r**4 - 2*r**5 - 2*r**2 + 2*r**4.
-2*r**2*(r - 1)**2*(r + 1)
Suppose 0*t - 18 = -5*t + 4*u, -4*u - 14 = -3*t. Let q be (-16)/140 + (-4)/(-10). Factor 0*k**t + q*k**4 + 6/7*k**5 + 0*k**3 + 0*k + 0.
2*k**4*(3*k + 1)/7
Let k(j) be the second derivative of -j**4/102 + 2*j**3/3 - 17*j**2 + 35*j. Factor k(o).
-2*(o - 17)**2/17
Let g(a) be the first derivative of -1 + 1/2*a**2 + 0*a - 1/3*a**3. Factor g(s).
-s*(s - 1)
Suppose -11*j + 0*j = 0. Factor -2/3 + 0*l - 2/3*l**4 + 4/3*l**2 + j*l**3.
-2*(l - 1)**2*(l + 1)**2/3
Let 29 + 4*w**3 + 108*w + 26 + 54 + 36*w**2 - 1 = 0. What is w?
-3
Let n(l) be the third derivative of l**7/2520 + l**6/720 + l**4/12 + 2*l**2. Let t(w) be the second derivative of n(w). Factor t(b).
b*(b + 1)
Let d(x) = -2*x**2 - 8*x + 12. Let b(r) = r**2. Let j(n) = 2*b(n) - d(n). Factor j(h).
4*(h - 1)*(h + 3)
Let o(f) = f**2 + f. Let v(h) = 8*h**3 + 16*h**2 + 8*h. Let n(z) = 4*o(z) - v(z). Factor n(w).
-4*w*(w + 1)*(2*w + 1)
Let f(l) be the third derivative of l**5/330 - 5*l**4/132 + 4*l**3/33 - 3*l**2. Determine u so that f(u) = 0.
1, 4
Let o(l) = -2*l - 8. Let w be o(-6). Let p(f) be the first derivative of -2 + 1/10*f**w + 2/15*f**3 - 2/5*f - 1/5*f**2. Factor p(k).
2*(k - 1)*(k + 1)**2/5
Let k = 11 + -8. Let u(h) = -2*h**4 - 2 + h**2 - 2*h**k + 0*h**5 - 5*h + h**5 - 3. Let n(x) = x**4 + x**3 + x + 1. Let m(i) = -10*n(i) - 2*u(i). Factor m(w).
-2*w**2*(w + 1)**3
Factor -5*z**2 - 2*z**2 + 5*z**2 + 3*z**2 + 4 + 4*z.
(z + 2)**2
Let s(b) = -b**5 - b**4 - b**2 + b + 1. Let k(q) = -6*q**5 + 30*q**4 - 84*q**3 + 86*q**2 - 30*q + 2. Let o(y) = -k(y) + 2*s(y). Factor o(h).
4*h*(h - 4)*(h - 2)*(h - 1)**2
Let z(m) be the third derivative of m**8/560 + m**7/112 + m**6/80 - m**5/80 - m**4/16 - m**3/2 + 4*m**2. Let f(n) be the first derivative of z(n). Factor f(y).
3*(y + 1)**3*(2*y - 1)/2
Let d(q) be the third derivative of -q**9/15120 - q**8/3360 + q**4/8 + 3*q**2. Let c(y) be the second derivative of d(y). Solve c(k) = 0 for k.
-2, 0
Factor 5*n**3 + 5*n**2 + 6*n**2 + 20*n + 9*n**2.
5*n*(n + 2)**2
Let v(t) = -8*t**4 - 19*t**3 - 21*t**2 - 2*t + 2. Let b(c) = 16*c**4 + 37*c**3 + 43*c**2 + 4*c - 4. Let o(g) = 3*b(g) + 7*v(g). Suppose o(i) = 0. Calculate i.
-1, 1/4
Let z be -15*((-7)/3 + 2). Let 6*a**3 + z*a**4 - a**3 - 5*a**2 + 3*a**5 - 6*a**3 - 2*a = 0. Calculate a.
-1, -2/3, 0, 1
Let b = -1239 - -1242. Find j such that 1/3*j**5 + 0 + 13/3*j**b + 2*j**4 + 4*j**2 + 4/3*j = 0.
-2, -1, 0
Let o(a) be the second derivative of -a**4/9 - 22*a**3/9 - 5*a. Suppose o(m) = 0. Calculate m.
-11, 0
Let n(z) = -9*z**3 + 12*z**2 + 6*z - 6. Let o = -1 + 2. Let f(r) = -r**3 + r**2 + r - 1. Let s(u) = o*n(u) - 6*f(u). Determine m, given that s(m) = 0.
0, 2
Let z(i) be the third derivative of i**8/392 + i**7/735 - i**6/140 - i**5/210 + 3*i**2. Let z(w) = 0. What is w?
-1, -1/3, 0, 1
Let w be 7 + 1 + -3 - (3 + -2). Determine z, given that 0 + 2/3*z**2 + 2/9*z**w + 2/9*z + 2/3*z**3 = 0.
-1, 0
Let k(l) be the first derivative of l**5/10 - l**4/4 - l**3/2 + l**2 + 2*l + 1. Factor k(i).
(i - 2)**2*(i + 1)**2/2
Let x(b) be the second derivative of -3/40*b**5 + 0*b**3 + b + 0*b**2 - 1/24*b**4 + 0 - 1/30*b**6. Find y such that x(y) = 0.
-1, -1/2, 0
Let z(q) be the first derivative of q**5/30 - q**3/9 + q/6 + 9. Factor z(m).
(m - 1)**2*(m + 1)**2/6
Let i(z) = 16*z**2 - 16*z - 28. Let s(h) = -3*h**2 + 3*h + 5. Let d(r) = -5*i(r) - 28*s(r). Find g, given that d(g) = 0.
0, 1
Let w(o) be the first derivative of o**6/90 - o**5/15 + o**4/6 - 2*o**3/9 + o**2/6 + 5*o - 5. Let m(h) be the first derivative of w(h). Factor m(c).
(c - 1)**4/3
Let t(s) = 3*s - 15. Let q be t(5). Let b(j) be the second derivative of -j + q - 1/6*j**3 - 1/24*j**4 - 1/4*j**2. What is i in b(i) = 0?
-1
Let z(o) = o**2 - 7*o + 4. Let i be z(7). Let 32/3*x**3 + i*x + 28/3*x**2 + 6*x**4 + 4/3*x**5 + 2/3 = 0. Calculate x.
-1, -1/2
Let z(y) be the second derivative of 1/4*y**2 + 2*y + 1/6*y**3 + 1/24*y**4 + 0. Factor z(s).
(s + 1)**2/2
Suppose -11 = -3*v + 1. Determine w, given that 2/9*w**2 + 0*w + 0 + 2/9*w**v - 4/9*w**3 = 0.
0, 1
Let k(f) = 4*f**4 + f**3 + 4*f**2 - 3. Let v(h) = -7*h**4 - h**3 - 7*h**2 + 5. Let s be ((-1)/2)/(2/(-12)). Let m(d) = s*v(d) + 5*k(d). Factor m(c).
-c**2*(c - 1)**2
Let d = 2/25 + 38/25. Let -d*z + 6/5 + 2/5*z**2 = 0. Calculate z.
1, 3
Suppose -5*b = -b - 64. Let 71*f - 9 - 23*f - b + 28*f**2 + 9 = 0. Calculate f.
-2, 2/7
Suppose 633 = -5*b + 13. Let o be (-3 - b/42)*-6. Find d, given that o*d**2 - 2/7 + 0*d = 0.
-1, 1
Let x(c) be the third derivative of -c**8/3360 - c**7/420 - c**6/180 + c**4/8 - 2*c**2. Let k(p) be the second derivative of x(p). Determine s so that k(s) = 0.
-2, -1, 0
Let l(q) be the second derivative of q**5/20 - q**3/6 + 3*q**2/2 - q. Let r be l(0). Determine x, given that x + 0*x - x**r + 1 - 1 = 0.
-1, 0, 1
Suppose 4*w - 12 = 0, -3*r = -0*w + w - 15. Suppose -4*j = 3*a - 16, 4*a - 12 - 4 = -r*j. Suppose -2/3*c**j + 2/3 - 4/3*c**3 + 0*c**2 + 4/3*c = 0. What is c?
-1, 1
Let i(u) be the second derivative of -3/7*u**2 + 3/14*u**3 + 0 - 1/28*u**4 - 4*u. Factor i(m).
-3*(m - 2)*(m - 1)/7
Suppose -9*m**2 + 3*m**2 + 36 + 12*m + 7*m**2 = 0. What is m?
-6
Let u(a) = -2*a**4 - a**3 + a**2 - 3*a - 13. Let k(c) = -3*c**4 - 2*c**3 + c**2 - 4*c - 20. Let o(m) = -5*k(m) + 8*u(m). Factor o(w).
-(w - 2)**2*(w + 1)**2
Let k be (3 - (-21)/(-3)) + 1. Let q be k*(2 + -3)/1. Factor 0 - 2/3*n**q + 2/3*n**4 + 2/3*n - 2/3*n**2.
2*n*(n - 1)**2*(n + 1)/3
Let c(a) = 7*a**5 - 2*a**4 + 3*a**3 - 4*a + 4. Let s(m) = -48*m**5 + 15*m**4 - 21*m**3 + 27*m - 27. Let t = 50 - 23. Let z(y) = t*c(y) + 4*s(y). Factor z(b).
-3*b**3*(b - 1)**2
Let n = -451 - -454. Factor n*s + 9/2*s**2 + 2*s**3 + 1/2.
(s + 1)**2*(4*s + 1)/2
Let z(p) = 4*p**2 - p - 7. Let g(t) = 3*t**2 - t - 5. Let m(h) = -7*g(h) + 5*z(h). Determine x, given that m(x) = 0.
0, 2
Let l(t) be the second derivative of -t**6/40 - t**5/10 - 5*t**2/2 + 5*t. Let s(a) be the first deriv