(o - 1)**2/5
Let u be ((-6)/10)/((-3)/9) - 103/(-515). Find a, given that -2/7*a**u + 0*a + 0 = 0.
0
Let d be (3/4 - (-39)/(-36))*0. Factor 7/2*t**2 + t + 1/2*t**5 + d + 9/2*t**3 + 5/2*t**4.
t*(t + 1)**3*(t + 2)/2
Let l(v) be the second derivative of -3*v**4/20 - 2*v**3/5 - 3*v**2/10 + 56*v. Factor l(p).
-3*(p + 1)*(3*p + 1)/5
Let o be 123/9 + 247/(-26) + (-1)/(-2). Factor -2/3*f**2 + 16/3 - o*f.
-2*(f - 1)*(f + 8)/3
Let i = -1/2260 - -1131/2260. Let a = 1729/138 - 2/69. Factor 5*b - i*b**2 - a.
-(b - 5)**2/2
Let h(f) = f**4 + f**2 - f + 1. Let l(z) = -35*z**3 - 55*z**2 + 15*z + 85. Let v(j) = -5*h(j) + l(j). Factor v(a).
-5*(a - 1)*(a + 2)**2*(a + 4)
Factor -24/11*j - 1/11*j**2 + 25/11.
-(j - 1)*(j + 25)/11
Let s be 36/1*6/18. Suppose 11*m**2 - 7*m**4 + 13*m**3 - 17*m**5 + 0 - 2*m + s*m**5 - 6*m - 4 = 0. What is m?
-2, -1, -2/5, 1
Let s(c) = c**3 + 12*c**2 - c - 7. Let t be s(-12). Let i be -1 - (-2)/5 - (-7)/t. Factor 2/5*g**2 - i*g - 6/5.
2*(g - 3)*(g + 1)/5
Let q = -167988/35 - -4800. Let f = -1/7 + q. Factor 0 + f*l**2 - 2/5*l + 1/5*l**3.
l*(l - 1)*(l + 2)/5
Suppose -4*y + 18 = -2*i, 3*y + 24 = -5*i + 5. Let n be (53 + -57)*y/20*-1. Let n*u - 4/5*u**2 + 4/5 - 2/5*u**3 = 0. Calculate u.
-2, -1, 1
Let k(l) be the first derivative of -2*l**3/15 + 32*l**2/5 + 37. What is w in k(w) = 0?
0, 32
Let h(j) be the third derivative of j**5/60 + j**4/6 + j**3/2 - 59*j**2. Factor h(c).
(c + 1)*(c + 3)
Suppose 4*m = 4 + 4. Let y = 50 + -38. Find b such that b + 14*b**m - 27*b**2 + y*b**2 = 0.
0, 1
Let j(u) = u**3 + u**2 - 1. Let z(r) = 4 - 1104*r - 2*r**3 - 2*r**4 + 1104*r. Let p(l) = -4*j(l) - z(l). Factor p(m).
2*m**2*(m - 2)*(m + 1)
Let w(b) = -b**2 + 4*b + 480. Let f be w(24). Factor -2/9*n**4 + 0 - 4/9*n**2 + f*n - 2/3*n**3.
-2*n**2*(n + 1)*(n + 2)/9
Suppose 360/7*j**2 - 28 + 174*j + 26/7*j**3 = 0. Calculate j.
-7, 2/13
Suppose 11*t + 16 = 19*t. Factor -3/4*b**t + 15/4*b - 3/4*b**3 - 9/4.
-3*(b - 1)**2*(b + 3)/4
Let v = 38 + -73. Let b be ((-4)/5)/(14/v). Let 0 + 2/7*d**3 - 4/7*d + 2/7*d**b = 0. Calculate d.
-2, 0, 1
Let r(i) = i**2 + 7*i + 8. Let s(k) = -5*k**2 - 1. Let t be s(-1). Let o be r(t). Factor 6*l**3 + l**4 - 6*l**2 - 3*l**4 + 2*l**o.
-2*l**2*(l - 2)*(l - 1)
Let h be ((-9)/(-90))/(2 + -1). Let j(q) be the third derivative of -1/40*q**6 + 3/8*q**4 + 0*q**3 + 11*q**2 + 0*q - h*q**5 + 0. Suppose j(i) = 0. Calculate i.
-3, 0, 1
Let q(y) be the third derivative of y**7/840 - y**6/240 - y**5/60 + y**4/48 + y**3/8 + 126*y**2. Solve q(u) = 0.
-1, 1, 3
Let r be 35*(36/15)/2. Let f be 4 + r/1 + 0. Let -f*q + 18*q - 16*q**2 + 24*q = 0. What is q?
-1/4, 0
Let j(w) be the first derivative of -1/2*w**4 + 0*w**3 + 0*w + 0*w**2 - 5 - 2/5*w**5. Factor j(p).
-2*p**3*(p + 1)
Let a(s) be the second derivative of s**4/66 + 4*s**3/33 + 4*s**2/11 - 101*s. Factor a(j).
2*(j + 2)**2/11
Let -6 + 16*l + 5/2*l**3 - 27/2*l**2 - 1/2*l**5 + 3/2*l**4 = 0. Calculate l.
-3, 1, 2
Let p(z) be the second derivative of 0*z**2 + 0 - 1/18*z**4 + 8*z + 4/9*z**3. Factor p(y).
-2*y*(y - 4)/3
Let d = -3420 - -3420. Find p, given that 4/3*p + 2/3*p**4 + d*p**2 - 4/3*p**3 - 2/3 = 0.
-1, 1
Factor -6 + 2/5*h**2 + 28/5*h.
2*(h - 1)*(h + 15)/5
Let h = 2729/12 + -2095/4. Let r = -293 - h. Find v, given that -5*v + r - 25/3*v**2 = 0.
-1, 2/5
Let t(x) = -x**3 + 32*x**2 - 31*x - 10. Let h be t(31). Let r(o) = o**2 + 13*o + 30. Let z be r(h). Factor 0*s + 2/13*s**2 + z.
2*s**2/13
Let p be ((-183)/(-32) + 294/(-49))/(3/(-4)). Determine k so that -p*k**2 + 0 - 9/8*k**4 + 0*k + 9/8*k**3 + 3/8*k**5 = 0.
0, 1
Let v(j) be the third derivative of j**8/168 + 17*j**7/315 + 19*j**6/90 + 7*j**5/15 + 23*j**4/36 + 5*j**3/9 - 2*j**2 - 61*j. Factor v(h).
2*(h + 1)**4*(3*h + 5)/3
Solve -326*l**2 - 258904*l - 86*l**3 - 18160*l**2 - 215412*l - 9*l**3 - 141*l**3 + 493039 - l**4 = 0 for l.
-79, 1
Let o(f) be the first derivative of -2*f**3/39 - 17*f**2/13 - 32*f/13 - 34. Suppose o(j) = 0. What is j?
-16, -1
Let g(i) = -i**3 - i**2 - i. Let r(d) be the first derivative of d**2 + 0*d - 3 + 2*d**4 - 13/3*d**3. Let m(b) = -g(b) + r(b). Factor m(x).
3*x*(x - 1)*(3*x - 1)
Factor -45/4*c**2 + 192 - 3/8*c**3 - 72*c.
-3*(c - 2)*(c + 16)**2/8
Factor -37*f**3 - 4*f**5 + 24*f**2 - 2*f**5 + f**5 - 63*f**3 - 40*f**4 - 104*f**2.
-5*f**2*(f + 2)**2*(f + 4)
Let y(q) = -10*q**4 + 8*q + 10 - 3*q + 15*q - 25*q**3. Let f(p) = -15*p**4 - 37*p**3 + 30*p + 15. Let w(i) = -5*f(i) + 7*y(i). Determine l so that w(l) = 0.
-1, 1
Let i(c) be the first derivative of c**4/8 + 7*c**3/4 + 9*c**2/2 + 37*c - 36. Let g(j) be the first derivative of i(j). Determine z so that g(z) = 0.
-6, -1
Let n(q) be the third derivative of -5*q**8/672 - 5*q**7/42 - 5*q**6/16 + 5*q**5/12 + 5*q**4/3 + 29*q**2. What is r in n(r) = 0?
-8, -2, -1, 0, 1
Let r(o) = -o**3 + 5*o**2 - 6*o + 2. Let j be r(3). Let t be 1 + 1*(-1 - -4). Factor -t - 12*h - 3*h - 12*h**j - 3*h**3 + 3 - 5.
-3*(h + 1)**2*(h + 2)
Let c(v) be the second derivative of -7*v + 1/165*v**6 - 4/33*v**3 + 0*v**2 + 3/110*v**5 + 0 + 0*v**4. Solve c(t) = 0.
-2, 0, 1
Suppose -62 = 1465*g - 1496*g. Find z, given that -3/4*z**g + 1/4*z**4 - 1/2*z**3 + 0*z + 0 = 0.
-1, 0, 3
What is q in -2/21*q + 4/21 + 2/21*q**3 + 2/21*q**4 - 2/7*q**2 = 0?
-2, -1, 1
Let a(l) = -l**3 - 9*l**2 - 2*l - 12. Let m be a(-9). Let p(c) = -c**2 + 8*c - 9. Let y be p(m). Factor -y*q**2 + 2*q**2 - 16*q + 6 - 4 + 17*q.
-(q - 2)*(q + 1)
Let o(l) be the second derivative of 0 + 5/9*l**4 + 5/6*l**3 + 12*l - 5/3*l**2 - 1/9*l**6 - 1/2*l**5 + 5/42*l**7. Let o(g) = 0. What is g?
-1, 2/3, 1
Let g(k) be the second derivative of k**5/4 - 25*k**4/12 + 20*k**3/3 - 10*k**2 - k + 11. Factor g(s).
5*(s - 2)**2*(s - 1)
Let k be (2 + -3 - -1)/1. Suppose k = -n + 3*n - 4. Solve n*q**3 - q**4 - q**2 - 3*q**3 + q**4 + q**4 + q = 0.
-1, 0, 1
Let y be 185/(-20) - -9 - 29/(-4). Let w(j) be the first derivative of 14/33*j**3 + y - 2/11*j**2 + 0*j. Factor w(u).
2*u*(7*u - 2)/11
Let y(v) be the second derivative of 0*v**2 + 30*v + 0 + 1/42*v**4 - 1/21*v**3. Factor y(u).
2*u*(u - 1)/7
Let g(o) be the third derivative of -o**7/210 + 11*o**6/60 - 97*o**5/60 - 11*o**4 - 24*o**3 + o**2 - 363. Factor g(y).
-(y - 12)**2*(y + 1)**2
Let h = -13/5103698 + 7271497840/1615320417. Let k = -1/633 + h. Factor 5/2*y**2 - k - 3/2*y - 1/2*y**3.
-(y - 3)**2*(y + 1)/2
Let b be (-2440)/(-10065)*(9/(-2))/(-3). Find g such that 2/11*g**2 + 0 - 2/11*g + b*g**3 = 0.
-1, 0, 1/2
Let i(n) be the third derivative of n**6/1080 + n**5/54 - 23*n**4/216 + 2*n**3/9 + 51*n**2. Factor i(a).
(a - 1)**2*(a + 12)/9
Suppose o + 0*o = -2*m + 151, -4*m + 4*o + 272 = 0. Factor m*x**4 + 68*x**4 - 138*x**4 - 6*x - 9*x**2.
3*x*(x - 2)*(x + 1)**2
Let r(b) be the third derivative of b**9/5040 - 3*b**8/2240 + b**6/60 - 4*b**4/3 - 26*b**2. Let m(v) be the second derivative of r(v). Solve m(u) = 0 for u.
-1, 0, 2
Let m(u) be the second derivative of u**7/231 + u**6/165 - u**5/55 - 78*u. Factor m(z).
2*z**3*(z - 1)*(z + 2)/11
Let r(b) be the second derivative of b**5/80 + 7*b**4/16 + 45*b**3/8 + 243*b**2/8 - 126*b + 2. Suppose r(z) = 0. Calculate z.
-9, -3
Let r(w) be the first derivative of 3/2*w**3 + 7 + 3*w - 27/8*w**2 - 3/16*w**4. Solve r(c) = 0.
1, 4
Let l(q) = 2*q**2 - 1. Let z(a) = a**3 - 24*a**2 + 45*a - 44. Let r(x) = -6*l(x) - z(x). Solve r(w) = 0.
2, 5
Let b be 6/4*(-3 - (-3 - 2)). Let g(m) be the second derivative of -3*m + 4/3*m**2 + 0 + 25/18*m**4 - 20/9*m**b. Determine s so that g(s) = 0.
2/5
Let s = 31 - -43. Factor -51*g**2 - 80*g + 12*g**4 - 5*g**5 - 47*g**4 - 20 - 95*g**3 - s*g**2.
-5*(g + 1)**3*(g + 2)**2
Suppose -s - 10 = -3*s. Suppose 15 - 3*g**3 + 3*g**4 - 15 + 0*g**4 - 3*g**2 + 3*g**s = 0. Calculate g.
-1, 0, 1
Let r(j) = -19*j - 111. Let l be r(-6). Let n(f) be the first derivative of -2 + 1/9*f**2 + 2/27*f**l - 1/18*f**4 - 2/9*f. What is m in n(m) = 0?
-1, 1
Let v = 56 - 223/4. Let h(k) = -2*k**3 + 11*k**2 + 6*k + 2. Let o be h(6). Factor v*a**o - 3/4*a + 0.
a*(a - 3)/4
Suppose -13*h - 4 = -30. Let m be (-6)/9*(12/h)/(-3). Suppose 0*w + 0 + 2/3*w**3 + m*w**2 = 0. What is w?
-2, 0
Let y = -51301313/256 - -200396. Let u = 1/256 + y. Solve 1/4*s**2 + u*s - 1/4 - 1/4*s**3 = 0 for s.
-1, 1
Let f(a) be the first derivative of a**3/4 - 7*a**2/8 + a/2 - 172. Determine l so that f(l) = 0.
1/3