/15
Let g(w) = -w**3 + 4*w**2 + 5*w + 3. Let j be g(5). Suppose r - j*u + 1 = 15, -24 = -4*r + 4*u. Factor -8/5*m**r + 2/5*m**3 + 2*m - 4/5.
2*(m - 2)*(m - 1)**2/5
Let b(w) be the first derivative of -w**4/5 - 4*w**3/15 + 4*w**2/5 + 4. Factor b(k).
-4*k*(k - 1)*(k + 2)/5
Let m(h) be the second derivative of h**5/5 + 4*h**4/3 + 10*h**3/3 + 4*h**2 - 10*h. What is q in m(q) = 0?
-2, -1
Suppose 2*x = 3*r + 4, -r + 12 = -0*r - 4*x. Let c be r/10 + (-84)/(-135). Factor c*j + 2/9 - 2/9*j**3 - 2/9*j**2.
-2*(j - 1)*(j + 1)**2/9
Let f be (4/6 - 0) + (-104)/273. Factor -4/7*g + 2/7 + f*g**2.
2*(g - 1)**2/7
Let t(f) = -f**3 - 4*f**2 + 4*f - 2. Let k be t(-5). Let -r**3 - 4*r**3 + 6*r**5 + 5 - 5*r**k - 4 + 4*r - r**4 = 0. Calculate r.
-1, -1/2, -1/3, 1
Let p = -6169/11 - -561. Suppose 4/11*a + 0 - p*a**3 - 2/11*a**2 = 0. Calculate a.
-2, 0, 1
Let i be 1/(-9)*(-63)/35. Factor 0 + i*z + 1/5*z**2.
z*(z + 1)/5
Let x be 0*-2*(-1)/(-2). Let g(f) be the first derivative of 1/4*f**4 - 1 + 0*f**2 + 1/5*f**5 - 1/6*f**6 + x*f - 1/3*f**3. Solve g(p) = 0 for p.
-1, 0, 1
Let a(u) be the second derivative of 9*u + 1/10*u**5 + 4*u**2 + 0 - 7/3*u**3 + 1/3*u**4. Find x, given that a(x) = 0.
-4, 1
Let w(k) be the third derivative of k**4/24 + 7*k**3/3 - k**2. Let d be w(-7). Solve 2 + c**2 + 0*c**2 - 10*c + d*c = 0 for c.
1, 2
Let n(i) be the first derivative of 4*i**5/5 - 2*i**4 + 8. Find s such that n(s) = 0.
0, 2
Let h(k) be the first derivative of k**5 + 5*k**4/2 - 17. Factor h(m).
5*m**3*(m + 2)
Suppose -2*g = 5*r - 1, -5*r = 4*g - 6 - 1. Let i(a) = a**3 + 3*a**2 - 2. Let b be i(-2). Factor -o - 2*o**b + g - 7 + 2*o**4 + 4 + o**5.
o*(o - 1)*(o + 1)**3
Let b be (-50)/6 + 1/3. Let a = 13 + b. Find o, given that o**a + 2*o + o**5 + 0*o**5 - 4*o**3 = 0.
-1, 0, 1
Let g(b) be the first derivative of 2*b**3/3 + 8*b**2 + 32*b - 1. Factor g(i).
2*(i + 4)**2
Let c(s) be the first derivative of -s**9/15120 + 3*s**3 - 7. Let t(p) be the third derivative of c(p). Let t(j) = 0. Calculate j.
0
Suppose 2/9*t**5 + 322/9*t + 188/9*t**3 - 380/9*t**2 - 34/9*t**4 - 98/9 = 0. Calculate t.
1, 7
Let b be (-1 + 38/32)/9. Let x(r) be the third derivative of 0*r**5 - b*r**4 + 0*r + 0 + 1/240*r**6 + 0*r**3 - r**2. Factor x(u).
u*(u - 1)*(u + 1)/2
Let a(s) be the first derivative of s**5/5 - 7*s**4/16 - 7*s**3/6 - 3*s**2/8 - 7. Factor a(r).
r*(r - 3)*(r + 1)*(4*r + 1)/4
Suppose 3*g - 4*l + 20 = -6, -5*g = -5*l + 40. Let s = 11 + g. Factor 6*t**4 + 2*t**3 - 3*t**3 + s*t**3.
2*t**3*(3*t + 2)
Factor 0 - 2/13*l**2 + 4/13*l**3 - 4/13*l + 2/13*l**4.
2*l*(l - 1)*(l + 1)*(l + 2)/13
Let f(y) = -y**3 + 8*y**2 - 5*y - 10. Let x be f(7). Let o = x - 2. Factor 3*p**o + 0*p**2 + 2*p**3 + 2*p + p**2.
2*p*(p + 1)**2
Let p(y) be the second derivative of y**5/120 - y**4/16 + y**3/6 + 3*y**2/2 + 3*y. Let z(r) be the first derivative of p(r). Factor z(a).
(a - 2)*(a - 1)/2
Let d = -638/5 - -128. Factor 0 - d*x**2 - 4/5*x.
-2*x*(x + 2)/5
Let m(y) be the third derivative of 8*y**7/105 - 2*y**6/15 - 13*y**5/5 - 6*y**4 + 36*y**2. Factor m(x).
4*x*(x - 4)*(2*x + 3)**2
Let g(j) be the second derivative of -j**6/195 + j**4/39 - j**2/13 - 13*j. Factor g(k).
-2*(k - 1)**2*(k + 1)**2/13
Let w be (-5)/((-105)/(-12))*7/(-14). Let 4/7*a**3 + 6/7*a**4 - 6/7*a + 2/7*a**5 - 4/7*a**2 - w = 0. What is a?
-1, 1
Let l be 4/(-10) + 2/5. Suppose -3*n - 3*y - y - 13 = l, -2*y - 5 = 3*n. What is b in 2*b**2 + 2 - 3*b**4 - 4*b**3 - n + 3*b**3 + 3*b**3 - 3*b + b**5 = 0?
-1, 1
Let k(f) be the first derivative of 2*f**3/27 + 4*f**2/9 - 10*f/9 + 31. Solve k(d) = 0 for d.
-5, 1
Let a be 1 - (-6)/(-1 + 2). Let d(m) = m**3 - 7*m**2. Let o be d(a). Find q such that -q**5 + 3*q**5 + o*q**5 - 6*q**4 + 6*q**3 - 2*q**2 = 0.
0, 1
Factor -6*n**2 + 0 + 26*n + 2*n**3 - 2 - 11*n - 9*n.
2*(n - 1)**3
Let b(m) be the second derivative of -2/225*m**6 - 7/50*m**5 + 0 + 1/45*m**7 + 4/45*m**3 + 0*m**2 - 4/45*m**4 - 6*m. Let b(v) = 0. What is v?
-1, 0, 2/7, 2
Suppose -6*s + 3*s + 18 = 0. Let x be 3/4 - (-6 + s). Factor 0 - 1/4*z + 1/4*z**4 + x*z**2 - 3/4*z**3.
z*(z - 1)**3/4
Let j(x) be the third derivative of -x**6/15 - x**5/6 - x**4/12 - 20*x**2. Factor j(w).
-2*w*(w + 1)*(4*w + 1)
Let q = -93 - -93. Let h(u) be the second derivative of 0*u**2 + 1/135*u**6 + q - 1/30*u**5 + u - 1/27*u**3 + 1/18*u**4. Determine m so that h(m) = 0.
0, 1
Let p(o) = -22*o - 20. Let d be p(-1). Factor -1/3*x**d - 2/3 + x.
-(x - 2)*(x - 1)/3
Let n(k) be the first derivative of k**4/18 + 2*k**3/27 + 12. Let n(g) = 0. Calculate g.
-1, 0
Let l(o) be the third derivative of -o**7/3360 + o**6/1440 - o**3/3 + o**2. Let d(n) be the first derivative of l(n). Let d(t) = 0. What is t?
0, 1
Let g(q) be the first derivative of 0*q**2 - 1 + 0*q - 2/3*q**3 - 1/2*q**4. Let g(j) = 0. Calculate j.
-1, 0
Suppose 1 - 3 = u. Let a = u + 9. Solve p**2 + 7*p - a*p = 0 for p.
0
Suppose 29 = 3*z + 4*d + 81, 5*d = -3*z - 56. Let f be 2*9/z*-2. Solve 1/5*o**f + 1/5*o + 2/5*o**2 + 0 = 0 for o.
-1, 0
Let j = -31 + 31. Factor j*o + 0 - 4/7*o**2 + 6/7*o**3 - 2/7*o**4.
-2*o**2*(o - 2)*(o - 1)/7
Let x be (-39)/(-18) - (-1)/((-12)/8). Find a such that -1 + x*a - 1/2*a**2 = 0.
1, 2
Let d(x) = -2*x + 1. Let v be d(5). Let q be (2/(-3))/(2/v). Factor 0 + q*h**2 - h**2 - 2.
2*(h - 1)*(h + 1)
Let i(y) be the first derivative of 0*y**3 + 1/2*y**2 - 1/360*y**6 - 1/72*y**4 - 3 + 1/90*y**5 + 0*y. Let o(r) be the second derivative of i(r). Factor o(w).
-w*(w - 1)**2/3
Let q be 0/(4 - (1 + 2)). Suppose -4 = -q*k - k - 4*d, -5*k = d - 1. Let k + 2/3*h + 1/3*h**2 = 0. Calculate h.
-2, 0
Let g be ((-10)/(-6))/5*0. Let j(n) be the third derivative of -2*n**2 + 0*n**3 + g*n**4 - 1/315*n**7 + 0*n**5 + 0*n + 0 - 1/360*n**6 + 1/336*n**8. Factor j(s).
s**3*(s - 1)*(3*s + 1)/3
Let q(j) be the first derivative of -2*j**3/3 + 4*j**2 - 40. Determine d, given that q(d) = 0.
0, 4
Let h(i) = 19*i**5 + i**3 + 0*i**2 - i**2 + i**4 - 17*i**5. Let p(n) = -2*n**5. Let o(q) = 2*h(q) + 3*p(q). Factor o(k).
-2*k**2*(k - 1)**2*(k + 1)
Let i be 11/(-3) - (-4)/6. Let c = i - -5. Let z**3 + c*z**2 - 2*z**3 + 0*z**2 - z = 0. What is z?
0, 1
Let o be 4/(-20) - (-16)/5. Factor -2*f + 2*f + 13*f**2 - 10*f**2 - o.
3*(f - 1)*(f + 1)
Let q(i) be the third derivative of -3*i**8/112 + i**6/20 - 2*i**5/45 + i**4/72 - i**2. Factor q(b).
-b*(b + 1)*(3*b - 1)**3/3
Let x = -3/34 + 79/510. Let r(f) be the third derivative of 0*f + 0*f**4 + 1/15*f**5 - 1/12*f**6 - x*f**7 + 0*f**3 + f**2 + 0. Factor r(n).
-2*n**2*(n + 1)*(7*n - 2)
Factor -h - 4*h**4 + 6*h**2 - 4*h**2 - 2*h**4 - 3*h + 8*h**3.
-2*h*(h - 1)**2*(3*h + 2)
Let j(b) = b. Let t be j(2). Let u be t/12 + (-39)/18. Let i(f) = -4*f**2 - 2*f - 1. Let m(l) = 3*l**2 + 2*l + 1. Let q(g) = u*i(g) - 3*m(g). Factor q(r).
-(r + 1)**2
Let y be (-9)/186*(-44)/4. Let x = -1/31 + y. Let x*u**2 - u**3 + 0 + 0*u + 1/2*u**4 = 0. What is u?
0, 1
Let a be (-32)/(-468) + 4/26. Find m such that -4/9 - a*m**3 + 2/9*m + 2/3*m**2 - 2/9*m**4 = 0.
-2, -1, 1
Let r(w) = -5*w**3 + 5*w**2 + 41*w + 25. Let g(z) = 14*z**3 - 16*z**2 - 122*z - 75. Let u(t) = 6*g(t) + 17*r(t). Factor u(h).
-(h + 1)*(h + 5)**2
Let j(m) be the third derivative of m**8/1680 - m**6/180 + m**4/24 - m**3/6 - m**2. Let r(f) be the first derivative of j(f). Solve r(b) = 0.
-1, 1
Let t(a) be the first derivative of -14/5*a**5 - 3/2*a**4 - a**6 + 0*a + 2*a**3 + 4 + 2*a**2. What is p in t(p) = 0?
-1, 0, 2/3
Let m(v) be the first derivative of 3*v**5/20 - v**4/4 - v**3/2 + 3*v**2/2 - 2*v - 2. Let i(y) be the first derivative of m(y). Factor i(u).
3*(u - 1)**2*(u + 1)
Let o(g) be the third derivative of g**8/784 + g**7/490 - g**6/280 - g**5/140 + 18*g**2. Suppose o(p) = 0. What is p?
-1, 0, 1
Let z(a) = -4*a**4 + 4*a**3 + 4*a**2 - 4*a + 6. Let h(s) = -3*s**4 + 3*s**3 + 3*s**2 - 3*s + 5. Let r(w) = -6*h(w) + 5*z(w). Find u, given that r(u) = 0.
-1, 0, 1
Suppose -2*a + 38 = 2*z, 0 = 5*a + z - 43 - 52. Let l = -19 + a. What is k in 1/6*k**3 - 1/6*k**2 + 0*k + l = 0?
0, 1
Factor 1/8*i - 1/8*i**2 + 0.
-i*(i - 1)/8
Find x, given that 2*x + 0 + 2/3*x**2 = 0.
-3, 0
Let c(h) = h - 3. Let s be c(3). Suppose s = -b - 0*b. Let 1/2*i**2 + b*i + 0 = 0. Calculate i.
0
What is x in -36/7 - 32/7*x**3 - 88/7*x**2 - 4/7*x**4 - 96/7*x = 0?
-3, -1
Let j be 0/((3/1)/(-3)). Let r be -1 - (j - 2 - 1)