2 + 0*m**3 + 1/2*m**o. Factor a(s).
2*s*(s - 1)*(s + 1)
Determine t so that -5*t - 18*t**2 + 3*t + 19 + 26*t**3 - 15 - 15*t**4 + 5*t**4 = 0.
-2/5, 1
Suppose -4/7*x**3 + 8/7 + 4/7*x - 8/7*x**2 = 0. Calculate x.
-2, -1, 1
Let c(i) be the second derivative of -21*i**5/160 - 4*i**4 - 603*i**3/16 - 243*i**2/8 - 28*i. Find t such that c(t) = 0.
-9, -2/7
Suppose 0 = 3*p - 3. Let g be (6 + -3)*(0 + p). Determine h, given that -14*h - h**2 + 14*h + 3*h**3 - g*h**4 + h**5 = 0.
0, 1
Let d = 21/52 - 2/13. Determine f, given that d*f**3 - 1/4 + 5/4*f**2 + f**5 - 2*f**4 - 1/4*f = 0.
-1/2, 1
Suppose 2*o - 5 = o. Suppose 2*w - 21 = -3*g + o*w, 5 = g + w. Let -2*c**3 - 3*c + g*c + 2*c**2 + c = 0. Calculate c.
-1, 0, 2
Let o(c) = -c**2 + 8*c - 9. Let v be o(6). Let y(h) = h + 7. Let j be y(-5). Solve 5 - 2*x**j - 5 - 2*x**v + 2*x**4 + 2*x**5 = 0 for x.
-1, 0, 1
Suppose -5*p + 1 = -24. Factor c**p + 4*c**4 - 3*c**4 - 3*c**2 + c - 6*c**3 + 1 + 4*c**3 + c**2.
(c - 1)**2*(c + 1)**3
Let n = -20924/75 + 279. Let g(b) be the second derivative of 0*b**4 + n*b**6 + 0 - 1/50*b**5 + 0*b**2 - 2*b + 0*b**3. Factor g(l).
2*l**3*(l - 1)/5
Suppose -3*t + 10 = 2*v, 2*t - 11 = -3*v - 1. Suppose v = f - 1. Solve -2/3*w**4 - 4/3*w + 0*w**2 + 4/3*w**f + 2/3 = 0 for w.
-1, 1
Let x be (-24)/(-11) - -1 - 180/60. Factor -2/11*f + x*f**2 + 0.
2*f*(f - 1)/11
Suppose 4 + 11 = 5*w. Let u = -6 + 10. Factor 2*x**w + 0*x - x**u - x**2 + 0*x.
-x**2*(x - 1)**2
Suppose -75*h + 74*h + 2 = 0. Let c(j) be the second derivative of -1/8*j**2 + 0 + h*j - 1/48*j**4 - 1/12*j**3. Solve c(w) = 0.
-1
Let c(q) be the second derivative of -q**4/66 + q**3/33 + 2*q. Factor c(s).
-2*s*(s - 1)/11
Factor 2/11*d**5 - 6/11*d**3 + 8/11*d**2 + 0 - 4/11*d**4 + 8/11*d.
2*d*(d - 2)**2*(d + 1)**2/11
Suppose 5*y + 4*y = 63. Let l(s) be the second derivative of -1/126*s**y + 0*s**2 + 0*s**3 + 1/45*s**6 + 2*s + 0 - 1/18*s**4 + 1/60*s**5. Solve l(m) = 0 for m.
-1, 0, 1, 2
Let z = -593/3 + 562/3. Let a = z - -11. Let -a*m**2 - 4/3*m - 2/3 = 0. Calculate m.
-1
Let m(l) be the first derivative of -2*l**5/5 + l**4/2 + 4*l**3/3 + 15. Let m(j) = 0. What is j?
-1, 0, 2
Let c(r) be the first derivative of 0*r + 1/3*r**4 + 2/9*r**3 + 3 + 0*r**2 + 2/15*r**5. Factor c(l).
2*l**2*(l + 1)**2/3
Let z = -11/8 - -15/8. Let k(o) be the second derivative of 0 + o - 1/12*o**4 + 0*o**3 + z*o**2. Suppose k(s) = 0. What is s?
-1, 1
Factor -2 + 2*t**2 - 3 + 0*t**2 + 3.
2*(t - 1)*(t + 1)
Let p be ((3/1)/(-3))/(-3). What is w in p*w**2 + 0 + 1/3*w**3 - 1/3*w**4 - 1/3*w = 0?
-1, 0, 1
Let l(q) = 32*q. Let h be l(1). Let c be h/18 + (-2)/(-9). Factor -r**2 - c - 2*r + r**3 + 7*r - 3*r**2.
(r - 2)*(r - 1)**2
Let s be -2 + (10 - 0/(-1)). Factor 0*b**5 + 0*b**5 + s*b**4 - 4*b**5 + 6*b**3 - 10*b**3.
-4*b**3*(b - 1)**2
Let z(j) be the first derivative of -1/3*j**3 - 1/10*j**5 + 0*j - 1/4*j**4 + 3/2*j**2 + 4 - 1/60*j**6. Let a(y) be the second derivative of z(y). Factor a(d).
-2*(d + 1)**3
Suppose 0*m + m = 1. Let a be (m - (-9)/4) + -3. Factor a + 1/2*i + 1/4*i**2.
(i + 1)**2/4
Let h be (4/(-30))/(119/126 + -1). Let i(f) be the first derivative of -1/10*f**4 + 16/5*f - h*f**2 - 3 + 4/5*f**3. Factor i(v).
-2*(v - 2)**3/5
Let t be ((-9)/(-27))/((-1)/(-9)). Factor -49 - 3*o**3 + 49 + t*o**2.
-3*o**2*(o - 1)
Let i(j) be the second derivative of j**7/21 + j**6/15 - j**5/10 - j**4/6 + 15*j. Determine g, given that i(g) = 0.
-1, 0, 1
Factor 39/5*d**2 - 6/5*d + 0 - 33/5*d**3.
-3*d*(d - 1)*(11*d - 2)/5
Let b be 6 + -7 + 4 + 0. Let u(d) be the second derivative of 0*d**2 + 1/21*d**4 + d + 0 + 1/21*d**b - 1/147*d**7 - 2/105*d**6 + 0*d**5. Solve u(v) = 0 for v.
-1, 0, 1
Let y be (-12)/21*(14/(-4) + 0). Suppose -1/3*w**y + 1/3*w**3 - 1/3*w + 1/3 = 0. What is w?
-1, 1
Let f(q) = -9*q**2 - 3*q - 6. Suppose -2*g - 1 = -13. Let d(z) = 10*z**2 + 2*z + 6. Let o(l) = 2*l - 3. Let w be o(5). Let j(r) = g*d(r) + w*f(r). Factor j(k).
-3*(k + 1)*(k + 2)
Suppose 3*z + 4*d = 6, 2*d = -4*z - 0*d + 8. Suppose 0 = -4*o + 2*o - 3*w - 5, 2*w + 4 = -o. Factor 4 + 17*a**o + z*a**3 - 20*a - 2 - 6*a**3 + 2.
-(a - 2)**2*(4*a - 1)
Let f(q) be the first derivative of -q**6/6 - 3*q**5/5 + 9*q**4/4 - 5*q**3/3 - 6. Suppose f(r) = 0. What is r?
-5, 0, 1
Let z(q) = -21*q**2 + 3*q - 2. Let o be z(2). Let l be (-56)/o - 2/4. What is v in -1/5*v - l*v**2 + 2/5 = 0?
-2, 1
Let y = 2/13 - -9/26. Let a(p) be the first derivative of -y*p**2 + 2 + 0*p + p**3. Factor a(j).
j*(3*j - 1)
Let x(w) be the second derivative of 0*w**4 + 0 + 1/2*w**3 - 1/20*w**5 + 5*w + w**2. Factor x(b).
-(b - 2)*(b + 1)**2
Let d be (7 - 2)*-2*-1. Suppose -2*c + d = 3*c. Factor -c*a + 5*a**4 - 9*a**3 - a**5 + 0*a**5 + 2*a**4 - 2*a**4 + 7*a**2.
-a*(a - 2)*(a - 1)**3
Let u(b) be the first derivative of b**6/30 + 2*b**5/25 + b**4/20 - 26. Find k such that u(k) = 0.
-1, 0
Let r(i) be the second derivative of -i**4/132 + 5*i**3/66 - 2*i**2/11 - 33*i. Factor r(f).
-(f - 4)*(f - 1)/11
Suppose -1 = d - 6. Factor 0*x**3 + 2*x**3 - 2*x**d + 2*x**3 - 2*x**3.
-2*x**3*(x - 1)*(x + 1)
Let s = 0 + 0. Determine i so that -i**4 - i**4 - 4*i + 2*i**2 + s*i**4 + 4*i**3 = 0.
-1, 0, 1, 2
Let t(j) be the second derivative of 1/35*j**5 + 0 + 0*j**4 - 1/21*j**3 + 0*j**6 + 0*j**2 - 1/147*j**7 + j. Factor t(u).
-2*u*(u - 1)**2*(u + 1)**2/7
Let z(r) = r**3 - 3*r**2 + 4*r + 8. Let f(w) be the third derivative of w**4/24 + w**3/6 - 3*w**2. Let o(i) = -4*f(i) + z(i). Find k such that o(k) = 0.
-1, 2
Suppose 7*m - 205 = -177. Let w = -152 + 611/4. Solve -w*z - z**4 + 1/2 - 15/4*z**3 - m*z**2 = 0 for z.
-2, -1, 1/4
Suppose 0 = -6*v + v + 25. Suppose 11 = 3*k - 6*s + v*s, 2*s = 5*k - 18. Factor -2/3*x**3 + 0*x**2 + 0 + 0*x - 2/3*x**k.
-2*x**3*(x + 1)/3
Let r(w) be the third derivative of w**7/1050 - w**5/300 + 71*w**2. What is d in r(d) = 0?
-1, 0, 1
Let i be (-1)/2*0/(-1). Let q be 1/7*(i + 2). Let -2/7 - 2/7*m + q*m**3 + 2/7*m**2 = 0. Calculate m.
-1, 1
Let r(n) be the second derivative of -2*n**6/35 + 8*n**5/35 - n**4/3 + 4*n**3/21 - 11*n. Factor r(k).
-4*k*(k - 1)**2*(3*k - 2)/7
Let l = 15 - 15. Factor l + 2/11*p - 2/11*p**2.
-2*p*(p - 1)/11
Let q(v) be the first derivative of -2*v**5/5 + 4*v**4/3 - 14*v**3/9 + 2*v**2/3 + 3. Determine h, given that q(h) = 0.
0, 2/3, 1
Factor 1/4*b**2 - 1/4*b**4 + 1/4*b - 1/4*b**3 + 0.
-b*(b - 1)*(b + 1)**2/4
Let t(f) be the first derivative of -f**3/9 - 2*f**2/3 + 11. Factor t(u).
-u*(u + 4)/3
Factor 9 + 3/2*g**2 + 15/2*g.
3*(g + 2)*(g + 3)/2
Suppose -12*z - z**5 + 4*z + 6*z**3 + 8*z**4 - 8*z**2 + 3*z**5 = 0. What is z?
-2, -1, 0, 1
Suppose -4*c + 14 + 2 = 0. Let t(b) be the second derivative of -3/7*b**3 + 2*b + 0 + 2/7*b**c + 2/7*b**2 - 1/14*b**5. Factor t(f).
-2*(f - 1)**2*(5*f - 2)/7
Suppose -5*s + 1 = -4*s + b, -b - 2 = 4*s. Let z be (-6 - 0)*s/3. What is q in -16/5*q - 6/5*q**z - 8/5 = 0?
-2, -2/3
Let g(h) = -6*h. Let d be g(-7). Let a be (8/(-10))/(d/(-15)). Solve 0 - a*n + 2/7*n**3 - 2/7*n**4 + 2/7*n**2 = 0.
-1, 0, 1
Let k = 5 - -3. Let v be (-20)/(-11) - k/(-44). Solve -v*t**3 - 2*t**4 - 2*t**4 + 5*t**3 + 7*t**4 = 0 for t.
-1, 0
Suppose 2*k + q = -6 + 1, -5*k - 7 = -3*q. Let x = -1 - k. Factor -1 + n**3 - n + 0 - n**4 - x + 3*n**2.
-(n - 2)*(n - 1)*(n + 1)**2
Let o(g) be the second derivative of -5*g + 0 - 1/30*g**4 - 1/50*g**5 + 1/5*g**2 + 1/15*g**3. Solve o(h) = 0 for h.
-1, 1
Suppose 0 = -4*w - 1 + 9. Let u = -2 - -3. Find g such that 2*g - u - 2*g**w - 1 - 6*g = 0.
-1
Let m(d) = -d. Let c(u) = -3*u. Let f(l) = -2*c(l) + 5*m(l). Let b(k) = -k**2 - 3*k + 1. Let h(n) = -b(n) - 3*f(n). Factor h(p).
(p - 1)*(p + 1)
Suppose -2*t = -t. Factor -4*g**4 - 8*g**3 + 2*g**3 + t*g**4 + g**4 + 6*g + 3.
-3*(g - 1)*(g + 1)**3
Let s(u) = u - 1. Let z be s(3). What is c in 2*c**4 - c**4 + 3*c**z + c + 3*c**3 + 0*c = 0?
-1, 0
Factor -49*l - l**2 + 2*l**2 + 49 + 35*l.
(l - 7)**2
Let b(u) be the second derivative of u**4/4 - 2*u**3 - 37*u. Determine f so that b(f) = 0.
0, 4
Let y(x) = -2*x**5 - 14*x**4 + 20*x**3 - 42*x**2 - 14*x + 16. Let d(r) = r**4 - r**3 + r**2 + r. Let z(v) = 44*d(v) + 2*y(v). Find f such that z(f) = 0.
-1, 2
Let t(z) = -9*z**3 + 9*z**2 + 9*z - 3. Let c(q) = 10*q**3 - 10*q**2 - 10*q + 3. Let o(d) = -6*c(d) - 7*t(d). Factor o(f).
3*(f - 1)**2*(f + 1)
Let b(f) be the second derivative of -f**6/60 + f**5/10 + f**4