))/((-6)/(-28)). Factor 0 + 2/9*p**2 - 2/3*p**3 + 2/3*p - 2/9*p**b.
-2*p*(p - 1)*(p + 1)*(p + 3)/9
Let k(x) be the second derivative of x**5/130 + x**4/39 - 19*x. Solve k(u) = 0.
-2, 0
Let s = -17 - -52. Suppose 2*f = -11 + s. Determine g so that -7*g**2 - 17*g**3 - 3 - f*g**4 - 22*g**3 - 38*g**2 - 21*g = 0.
-1, -1/4
Let r(k) be the second derivative of 0*k**5 - 1/15*k**6 - 5*k + 0*k**4 + 0*k**2 + 0 + 0*k**3. Factor r(g).
-2*g**4
Let x(p) be the third derivative of -p**8/6720 - p**7/1260 - p**6/720 - p**4/12 + 4*p**2. Let d(j) be the second derivative of x(j). Factor d(c).
-c*(c + 1)**2
Let y be (5 + (-2 - -3))*3. Let q be ((-2)/(-4))/(3/y). Suppose 1/3 - 1/3*b - 1/3*b**2 + 1/3*b**q = 0. What is b?
-1, 1
Let r be (-6)/4*(-18)/9. Let y be 2*-2 + 3 + r. Factor -3*a - 2*a**5 - 6*a**3 + 6*a**4 + y*a**2 + 3*a.
-2*a**2*(a - 1)**3
Let g(f) = 4*f**2 + 3*f + 3. Suppose 2*p = 4*p + 14. Let y(i) = -7*i + i**2 - 2*i**2 - 8*i**2 - 7 + 0*i**2. Let d(x) = p*g(x) - 3*y(x). Solve d(j) = 0.
0
Suppose 5*p - 23 + 3 = 0. Let -3*h**5 + 5*h**2 - 2*h**4 - 2*h**2 - h**4 + p*h**3 - h**3 = 0. Calculate h.
-1, 0, 1
Suppose 1 = x + 3. Let b be 1*-3 - 12/x. Determine p so that 0*p + 0*p**2 + 2/7*p**b + 0 = 0.
0
Factor 7*q**2 + 8*q + q**3 - 3*q + 2*q**3 + 1.
(q + 1)**2*(3*q + 1)
Let k(x) = -3*x - 1. Let z be k(-1). Let g(v) = v**2 - 13*v + 12. Let p be g(12). Factor -z*f**4 + p*f**3 + 0*f**3 + 0*f**4 + 2*f**3.
-2*f**3*(f - 1)
Let k be 2*2/4 + -1. Suppose 0 = u - 5 + 3. Factor q**3 + 0*q**2 + 2 + 2*q - u*q**2 - 3*q + k*q**3.
(q - 2)*(q - 1)*(q + 1)
Let o(h) = -h**3 + 2*h**2 + h + 1. Let n be o(2). Factor n + 5*b + 7*b**2 - 4 + 2 - 3.
(b + 1)*(7*b - 2)
Suppose -5*g = -4*r - 10 + 1, 0 = -5*g - r + 29. Factor -g - 4*m**5 + 3*m**5 + 5 - m + 2*m**3.
-m*(m - 1)**2*(m + 1)**2
Let z(w) = -12*w**4 - 8*w**3 + 8*w**2 - 36*w + 2. Let i(m) = -m**4 - m**3 + m**2 - m + 1. Let q(a) = -28*i(a) + 2*z(a). Find r, given that q(r) = 0.
-3, -1, 2
Let o(b) be the second derivative of -b**5/10 + b**4/6 + b**3/3 - b**2 + 4*b. Suppose o(q) = 0. Calculate q.
-1, 1
Let y(f) be the third derivative of -f**5/240 - f**4/96 - 7*f**2. Suppose y(x) = 0. Calculate x.
-1, 0
Let a(o) be the first derivative of o**5/20 - o**4/12 - o**3/3 - 7*o + 7. Let g(r) be the first derivative of a(r). Solve g(t) = 0 for t.
-1, 0, 2
Solve 3*s - 11*s + 4*s**4 + 6*s**3 - 2*s**4 = 0 for s.
-2, 0, 1
Let k = -77 + 232/3. Let t(x) be the second derivative of 1/10*x**5 + 0*x**2 - 1/3*x**4 - 3*x + k*x**3 + 0. Solve t(i) = 0.
0, 1
Let r be (-4)/(-14)*12/6. Let m = 710 - 4962/7. Let 16/7*s**3 + 2/7 - r*s - m*s**2 = 0. What is s?
-1/2, 1/2
Let u(n) be the first derivative of -2*n**7/105 + n**6/30 + 2*n**5/15 - n**2 + 3. Let w(s) be the second derivative of u(s). Factor w(m).
-4*m**2*(m - 2)*(m + 1)
Let a(t) = t + 5. Let c be a(-3). Let 2*g**2 + 2 - g + 0 + 3*g + c*g = 0. What is g?
-1
Let r(t) = 2*t**2 + 4*t + 2. Let o be r(-2). Suppose -o*q + 2*j = 10, 10 = -5*q + j + j. Determine l, given that -7/2*l**2 + l + q = 0.
0, 2/7
Suppose 1/2*b**2 + 0 + 0*b + 0*b**3 - 1/2*b**4 = 0. Calculate b.
-1, 0, 1
Let f(v) be the first derivative of 27/20*v**5 + 6*v**2 + 4*v - 2*v**3 + 3 - 9/4*v**4. Let g(b) be the first derivative of f(b). Factor g(n).
3*(n - 1)*(3*n - 2)*(3*n + 2)
Suppose -q**2 - 4 + 2*q**3 - 2*q**4 + 4*q**2 + 3*q**2 - 2*q = 0. What is q?
-1, 1, 2
Let i = 284127 + -363966328/1281. Let c = i + 1/183. Factor -c - 4/7*l + 2/7*l**4 + 4/7*l**3 + 0*l**2.
2*(l - 1)*(l + 1)**3/7
Factor 4/5*d + 1/5*d**2 + 0.
d*(d + 4)/5
Let c be (-4)/3*(-12)/8. Let r be 24/594 + 6/33. Solve r - 2/9*m**c + 0*m = 0 for m.
-1, 1
Let z be 5/2*(-16)/(-20). Let u = 0 + z. Factor 4*g**u - 2 + g - g - 2*g**5 + 4*g**3 - 2*g**4 - 2*g.
-2*(g - 1)**2*(g + 1)**3
Let p = -3 - -8. Suppose -102/5*k**3 - 8/5*k - 92/5*k**4 - 48/5*k**2 - 6*k**p + 0 = 0. What is k?
-1, -2/3, -2/5, 0
Let g(r) be the third derivative of -1/210*r**5 + 0*r + 0*r**3 + 0 - 1/84*r**4 + 3*r**2. Solve g(d) = 0 for d.
-1, 0
Solve 0*i - 2/15 + 2/15*i**2 = 0.
-1, 1
Let j(g) = -g - 16. Let w be j(-16). Let n(p) be the second derivative of -1/110*p**5 + w + 0*p**2 + 0*p**4 + 3*p + 1/33*p**3. Suppose n(k) = 0. What is k?
-1, 0, 1
Suppose -4*d = -27 - 133. Let l be (6/(-10))/((-4)/d). Determine k so that l*k**2 - 6*k**2 + 14*k**2 - 8 - 6*k**3 = 0.
-2/3, 1, 2
Let f be (8/(-12))/(2/(-6)). Solve 6*w**4 + 5*w**2 + w**3 + 0*w**4 + 2*w**5 + 5*w**3 - 3*w**f = 0 for w.
-1, 0
Let g(a) be the first derivative of 1/5*a**5 - 1/4*a**4 - 6 - 2/3*a**3 + 0*a**2 + 0*a. What is t in g(t) = 0?
-1, 0, 2
Let x(s) = s**2 - s - 6. Let c be x(3). Determine q, given that 3/2*q**4 + c - 3*q**3 - 6*q**2 + 0*q + 3/4*q**5 = 0.
-2, 0, 2
Let v(j) be the third derivative of -j**6/24 + j**5/3 + 55*j**4/24 + 5*j**3 - 25*j**2. Find o such that v(o) = 0.
-1, 6
Suppose 0 = 4*d - 8. Determine h so that -10*h**d + 4 - 6*h**5 + 8*h**4 - 4 + 2*h + 4*h**3 + 2*h**2 = 0.
-1, 0, 1/3, 1
Let h = 14 - 12. Determine i so that -18/7*i**3 + 0 - 4/7*i**h - 2*i**4 + 0*i = 0.
-1, -2/7, 0
Let d(p) be the second derivative of 0 + 1/10*p**6 + 0*p**5 - 1/4*p**4 + 0*p**2 - 7*p + 0*p**3. Find u such that d(u) = 0.
-1, 0, 1
Find i, given that -16/5*i**3 - 4/5 - 4/5*i**4 - 16/5*i - 24/5*i**2 = 0.
-1
Let r(w) be the second derivative of w - 5/18*w**4 + 4/9*w**2 - 4/9*w**3 - 2/45*w**5 + 0. Determine a, given that r(a) = 0.
-2, 1/4
Let p(f) = -f**2 + 3*f + 3. Let d be p(3). Let x(z) be the third derivative of 2/3*z**d + 1/60*z**6 + 0 + 0*z + z**2 + 2/15*z**5 + 5/12*z**4. Factor x(v).
2*(v + 1)**2*(v + 2)
Let c(o) = -o**2 + 9*o - 14. Let w be c(6). Let l(d) = d + d**2 - 2*d - 4*d**2. Let v(b) = b**2. Let k(u) = w*v(u) + l(u). Let k(q) = 0. Calculate q.
0, 1
Factor 8/5*s + 2/5*s**5 + 0 + 26/5*s**3 - 12/5*s**4 - 24/5*s**2.
2*s*(s - 2)**2*(s - 1)**2/5
Suppose -c + 3*c = 8. Suppose 0 = -6*x + 4*x + c. Factor 5 - 2*w**2 + 8*w - 4*w**x + 3.
-2*(w - 2)*(3*w + 2)
Let b(z) be the third derivative of z**7/1260 + z**6/180 + z**4/12 - 4*z**2. Let n(c) be the second derivative of b(c). Factor n(m).
2*m*(m + 2)
Let n(i) be the third derivative of i**7/525 + 2*i**6/75 + 4*i**5/25 + 8*i**4/15 + 16*i**3/15 - 27*i**2. Factor n(s).
2*(s + 2)**4/5
Let q = -38 - -31. Let n(d) = -3*d - 18. Let v be n(q). Determine c, given that 0 + 2/7*c**2 + 2/7*c**4 + 0*c + 4/7*c**v = 0.
-1, 0
Find r such that -15/7*r**2 + 0 - 6/7*r**5 + 0*r**3 + 6/7*r + 15/7*r**4 = 0.
-1, 0, 1/2, 1, 2
Let i be (0 - (-9)/(-6))*-2. Let u(l) = 2*l**3 - l**2 + 2*l - 1. Let n be u(1). Factor -2*g**5 + 0*g**5 + 0*g**3 - n*g**i + 4*g**4.
-2*g**3*(g - 1)**2
Let k(z) be the third derivative of -z**7/1050 + z**6/100 - z**5/25 + z**4/12 - z**3/10 + z**2. Factor k(p).
-(p - 3)*(p - 1)**3/5
Let y(o) = -o**2 + o. Let m = -2 + 1. Let z(f) = 7*f**2 - f + 2. Let w = -9 + 4. Let p(k) = m*z(k) + w*y(k). Suppose p(g) = 0. Calculate g.
-1
Factor -4 - 8*z**2 + 32/3*z + 4/3*z**4 + 0*z**3.
4*(z - 1)**3*(z + 3)/3
Let j = -1229/78 + 95/6. Let h = j + 11/26. What is z in 0*z + 0 - 3/2*z**4 - h*z**3 + 0*z**2 + 2*z**5 = 0?
-1/4, 0, 1
Factor 1/4*r**4 + 1/4*r**3 - 1/4*r + 0 - 1/4*r**2.
r*(r - 1)*(r + 1)**2/4
What is h in 5 + 5*h**2 - 6*h - 5 + h = 0?
0, 1
Let q(w) = w**2 + 7*w + 6. Let x be q(-6). Suppose 0 = 5*n - x*n - 25. Suppose 0*g**4 + 2*g**2 + g**3 + g**3 - 2*g**n - 2*g**4 = 0. What is g?
-1, 0, 1
Let h = -79 - -82. What is k in 2/3*k + 0 + 7/3*k**h - 3*k**2 = 0?
0, 2/7, 1
Let j = 1 + -1. Let z = -852/7 + 122. Find q, given that z*q**2 + j*q + 0 = 0.
0
Let a(o) be the first derivative of 2*o**3/27 + o**2/9 - 4*o/9 - 36. What is x in a(x) = 0?
-2, 1
Let w = -97/3 - -35. Factor 4/3 - 10/3*o - 2/3*o**3 + w*o**2.
-2*(o - 2)*(o - 1)**2/3
Suppose 1 = -2*w + 7. Let y(g) = -4*g**3 + 30*g**2 + 16*g + 10. Let b(o) = o**3 - 6*o**2 - 3*o - 2. Let m(s) = w*y(s) + 14*b(s). Factor m(d).
2*(d + 1)**3
Let n be 1 + (-3)/((-1068)/(-358)). Let k = n + 719/1246. Factor 2/7 + k*i + 2/7*i**2.
2*(i + 1)**2/7
Determine b, given that -20/3*b - 1/3*b**2 - 100/3 = 0.
-10
Factor -1/2 - 1/2*s**4 - s**3 + 1/2*s + 1/2*s**5 + s**2.
(s - 1)**3*(s + 1)**2/2
Let y(t) be the second derivative of -t**4/96 - t**3/24 - 3*t. Determine p so that y(p) = 0.
-2, 0
Let h(l) be the third derivative of -l**5/150 + l**3/15 + 8*l**2. Solve h(z) = 0 for z.
-1, 1
Find k such that 2*k - 23 + 14 - 1