-3*(o - 2)*(o - 1)/5
Let m(j) = j**2. Let t(i) = -9*i**2. Let v = 51 - 52. Let a(f) = v*t(f) - 6*m(f). Solve a(r) = 0 for r.
0
Let j be (3/2)/((-5)/(-30)). Suppose g + 2 = -10*b + j*b, 0 = -3*g - 12. Factor 1/3 + 0*s - 1/3*s**b.
-(s - 1)*(s + 1)/3
Suppose 0 = -2*t + 4*n - 8, -5*n - 7 + 17 = 5*t. Let v(c) = -3*c**2 + 30*c. Let o be v(10). Determine j so that t + o*j**2 - 1/2*j**3 + 0*j = 0.
0
Let f(z) be the second derivative of -z**5/40 + 29*z**4/24 + 5*z**3/2 + 4*z + 11. Factor f(r).
-r*(r - 30)*(r + 1)/2
Let w(v) be the third derivative of -1/20*v**6 - 3/10*v**5 + 0 + 0*v - 3/4*v**4 - 1/315*v**7 + 0*v**3 - 14*v**2. Factor w(x).
-2*x*(x + 3)**3/3
Let m be (24/(-7))/(5/(-35)). Let z be 2/(-8) - (-54)/m. Find q, given that -15*q**3 + 10*q**2 + 4*q**4 - 175*q**4 + 30*q**2 - 13*q**z - 135*q**5 + 6*q = 0.
-1, -1/3, 0, 2/5
Factor 45/2 - 3/2*t**2 - 3*t.
-3*(t - 3)*(t + 5)/2
Suppose -21*a + 16*a + l = -5, 8 = -a + 2*l. Let -1/2*o**a + 0*o + 1/2 = 0. Calculate o.
-1, 1
Let w be ((-6)/(-21))/((-7)/(-98)). Suppose 2*l + 4*b + 1 = 5, -w*b = l - 2. Factor -l*a**2 - 2*a**5 + 2*a**3 + 2*a**4 - 6 + 6 + 0.
-2*a**2*(a - 1)**2*(a + 1)
Let q(a) be the second derivative of -a**4/9 + 2*a**3/3 + 8*a**2/3 - 31*a. Determine h so that q(h) = 0.
-1, 4
Solve 0 - 36*w**2 + 810*w + 2/5*w**3 = 0.
0, 45
Suppose -3*v - 2*v + 2*i = -22, 0 = 4*i + 4. Let 0*z**5 + 45*z**3 - 14*z**4 - 35*z**2 + 5*z**5 + 10*z - 11*z**v = 0. Calculate z.
0, 1, 2
Factor 116/23*f**2 - 2/23*f**4 + 0*f + 54/23*f**3 + 0.
-2*f**2*(f - 29)*(f + 2)/23
Let d(u) be the second derivative of u**5/90 + u**4/6 - u**3/27 - u**2 + 192*u. Determine a so that d(a) = 0.
-9, -1, 1
Let a(f) be the second derivative of -f**4/6 - 22*f - 2. Factor a(c).
-2*c**2
Suppose -k - 2*p + 13 = 3, 5*k + 5*p = 30. Factor -12*u + 4*u**2 + 0*u**2 + 4*u**k + 4.
4*(u - 1)*(2*u - 1)
Let u(w) be the second derivative of 7*w**7/9 + 63*w**6/5 + 248*w**5/5 - 524*w**4/9 - 304*w**3/3 - 48*w**2 + 120*w. What is k in u(k) = 0?
-6, -2/7, 1
Let o be ((-5)/((-125)/2))/2. Let f = 9/25 + o. Factor 2/5*u**2 - 4/5*u + 4/5*u**3 - f*u**4 + 0.
-2*u*(u - 2)*(u - 1)*(u + 1)/5
Factor 141/4*t**2 + 147/4 - 291/4*t + 3/4*t**3.
3*(t - 1)**2*(t + 49)/4
Let w(x) be the first derivative of -x**4/66 + 2*x**3/33 + 6*x + 8. Let n(a) be the first derivative of w(a). Factor n(k).
-2*k*(k - 2)/11
Let i(h) be the second derivative of -h**5/140 - 3*h**4/56 - h**3/7 - 19*h**2 + 20*h. Let l(n) be the first derivative of i(n). Factor l(m).
-3*(m + 1)*(m + 2)/7
Suppose 97 = 6*a - 419. Let n = a + -84. Find g such that -3*g - 21/2*g**5 + 15/2*g**4 - 15/2*g**n + 27/2*g**3 + 0 = 0.
-1, -2/7, 0, 1
Let v(o) be the second derivative of o**7/252 - o**6/60 + o**5/120 + o**4/24 - o**3/18 + 109*o. Factor v(u).
u*(u - 2)*(u - 1)**2*(u + 1)/6
Factor 342/11 - 340/11*b - 2/11*b**2.
-2*(b - 1)*(b + 171)/11
Let c(r) be the first derivative of 3*r**5/80 - r**4/8 + r**3/8 - 11*r + 14. Let y(m) be the first derivative of c(m). Factor y(s).
3*s*(s - 1)**2/4
Let w(i) = -3*i**4 + 38*i**3 - 64*i**2 - 48*i + 77. Let b(q) = -2*q**4 + 20*q**3 - 32*q**2 - 24*q + 38. Let k(t) = 5*b(t) - 2*w(t). Factor k(r).
-4*(r - 3)**2*(r - 1)*(r + 1)
Factor 39 + 315/4*w**2 - 27/4*w**3 + 114*w.
-3*(w - 13)*(3*w + 2)**2/4
Let z(n) be the first derivative of 5*n**4/4 + 10*n**3/3 - 55*n**2/2 - 60*n - 107. Suppose z(b) = 0. What is b?
-4, -1, 3
Let s(f) be the second derivative of 1/40*f**5 - 1/60*f**6 + 0*f**4 + 0 + 0*f**2 + 0*f**3 + 2*f. Determine h so that s(h) = 0.
0, 1
Let s(k) be the third derivative of k**6/360 - k**4/18 + 2*k**2 + 53. Suppose s(y) = 0. Calculate y.
-2, 0, 2
Let z = 2035/576324 + 1/2287. Let l(i) be the third derivative of 0 - 1/180*i**5 - 4/315*i**7 - 1/72*i**6 + 0*i**4 - z*i**8 + 0*i**3 + i**2 + 0*i. Factor l(h).
-h**2*(h + 1)*(2*h + 1)**2/3
Let u = 318 - 318. Let m(p) be the third derivative of -1/180*p**4 + 0 + 0*p + 1/450*p**5 + u*p**3 - 1/1575*p**7 + 2*p**2 + 1/900*p**6. Solve m(v) = 0.
-1, 0, 1
Let u(h) be the second derivative of -h**6/50 + 3*h**5/25 - 3*h**4/10 + 2*h**3/5 - 3*h**2/10 + 61*h. Suppose u(g) = 0. What is g?
1
Let d(s) be the third derivative of -s**6/120 - 97*s**5/60 - 2303*s**4/24 + 2401*s**3/6 + 494*s**2 + 2. Factor d(m).
-(m - 1)*(m + 49)**2
Suppose 2*h + 6 = 0, n + n - h = 9. Determine u so that 4*u**4 + 10*u**3 + n*u**3 - u**3 = 0.
-3, 0
Let q(h) be the third derivative of h**5/38 - h**4/228 - 2*h**3/57 + 2*h**2 + 94*h. Factor q(m).
2*(3*m + 1)*(5*m - 2)/19
Let s be 36/15 - (-2)/(-5). Suppose 0 = j - 0*j - s. Determine x, given that -2*x**2 - 3*x**2 + 18*x - 27 + j*x**2 = 0.
3
Let 5321 - 144 - 415*p**2 - 1729*p + 10129*p + 2431 + 5*p**3 + 1212 = 0. Calculate p.
-1, 42
Let z(t) = -t**2 + 9*t - 18. Let p be (-2)/(-6) + -3*84/(-54). Let u be z(p). Factor 4/3 - 22/3*g + 6*g**u.
2*(g - 1)*(9*g - 2)/3
Let x(k) be the second derivative of -k**6/300 + k**5/75 + k**4/12 - 2*k**3/5 + 6*k**2 + 14*k. Let l(u) be the first derivative of x(u). Factor l(n).
-2*(n - 3)*(n - 1)*(n + 2)/5
Let y(h) be the third derivative of -h**9/9072 - h**8/1008 - h**7/420 + 5*h**3 - 43*h**2 - 2. Let l(n) be the first derivative of y(n). Factor l(x).
-x**3*(x + 2)*(x + 3)/3
Let u = -321 - -324. Let h(f) be the first derivative of 9/5*f**5 + 0*f**2 - 3/4*f**4 + 0*f**u + 0*f + 4. Factor h(s).
3*s**3*(3*s - 1)
Let t = 10687 + -10684. Solve 3/4*h**2 + 0 - 3/4*h**4 - 3/4*h + 3/4*h**t = 0 for h.
-1, 0, 1
Let o(k) = 5*k**2 + 5. Let w be o(-3). Suppose 5*s = -4*i + w, s + 4*s - 5 = 5*i. Factor -a**5 - a**3 - 2*a**3 + 3*a**5 + a**5 + 6*a**4 - s*a**2.
3*a**2*(a - 1)*(a + 1)*(a + 2)
Let f(b) be the third derivative of -b**6/120 + 7*b**5/60 + 3*b**4/8 - 2*b**3/3 - 9*b**2. Let j be f(8). Factor -5*w**4 + 15*w**2 - 11*w + j*w - 3*w.
-5*w*(w - 1)**2*(w + 2)
Let f(z) = 18*z**3 - 647*z**2 - 68699*z - 2450091. Let c(r) = -11*r**3 + 324*r**2 + 34350*r + 1225046. Let q(d) = -5*c(d) - 3*f(d). Let q(g) = 0. Calculate g.
-107
Let l(j) = j**2 - 27*j + 30. Let a be l(26). Suppose 18*n**3 + 24*n**2 + 32*n - 409*n**a + 24*n**2 + 411*n**4 = 0. Calculate n.
-4, -1, 0
Let b(z) be the second derivative of -4*z + 0*z**3 + 0*z**4 + 0*z**2 - 3/80*z**5 + 0. Let b(o) = 0. What is o?
0
Let o be 1/(-3)*(-131 + 119). Suppose 4/5*r**3 + 0 - 2/5*r**o + 0*r**2 + 0*r - 2/5*r**5 = 0. Calculate r.
-2, 0, 1
Suppose 0 = 5*p + b - 20, -2*p + 5*b - 9*b + 8 = 0. Suppose 55*n**3 - 15*n**2 - 59*n + 59*n + 5*n**4 - 15*n**5 - 30*n**p = 0. Calculate n.
-3, 0, 1/3, 1
Suppose 0 = 5*g - 15, -49*n - 7 = -47*n - 5*g. Factor -4/7*l**5 - 20/7*l**n - 16/7*l**2 - 32/7*l**3 + 0 + 0*l.
-4*l**2*(l + 1)*(l + 2)**2/7
Let w(n) be the third derivative of 1/3*n**3 + n**2 + 0*n + 1/120*n**5 + 1/12*n**4 + 0. Let w(j) = 0. Calculate j.
-2
Let a(f) be the first derivative of -1/27*f**6 - 16/9*f**2 - 8/9*f - 19/18*f**4 - 14/45*f**5 - 50/27*f**3 + 8. Determine y so that a(y) = 0.
-2, -1
Let o(h) be the second derivative of 4*h**2 - 1/3*h**4 + 0 - 20*h - 2/3*h**3. Factor o(g).
-4*(g - 1)*(g + 2)
Let y(v) be the second derivative of -v**5/60 - v**4/24 + v**3/3 + 13*v**2/2 - 11*v. Let k(u) be the first derivative of y(u). Factor k(o).
-(o - 1)*(o + 2)
Let h(y) be the first derivative of -2*y**3/27 - 284*y**2/9 - 40328*y/9 - 221. Let h(s) = 0. What is s?
-142
Let c(f) = 5*f**4 - 11*f**3 - 16*f**2 - 4*f + 4. Let u(v) = 5*v**4 - 10*v**3 - 15*v**2 - 5*v + 5. Let g(l) = -5*c(l) + 4*u(l). Factor g(r).
-5*r**2*(r - 4)*(r + 1)
Suppose -9*f + 6*f = -9. Let b be 16/12*f - 0/2. Find t, given that -2/3 + 10/3*t - 2*t**5 - b*t**2 - 4/3*t**3 + 14/3*t**4 = 0.
-1, 1/3, 1
Suppose -7*u - 4*u = -22. Let v(r) be the second derivative of -1/10*r**6 - 1/4*r**4 - 9/20*r**5 + 3/2*r**3 + 6*r + 0 + 3*r**u. Factor v(n).
-3*(n - 1)*(n + 1)**2*(n + 2)
Factor -36*u + 4*u - 2*u**3 + 137 - 14*u**2 - 161.
-2*(u + 2)**2*(u + 3)
Let i(f) = f**2 - f + 2. Let s be (-6)/(-18)*(-1 + 1). Let l be i(s). Let 0 - 4/9*h - 10/9*h**3 - 2*h**l + 2*h**4 + 14/9*h**5 = 0. What is h?
-1, -2/7, 0, 1
Let m be -1*(-10)/(-30)*1*21. Let t be (54/20)/(2 + m/5). Suppose -t*s**3 + s - 3/2*s**2 + 0 = 0. What is s?
-2/3, 0, 1/3
Suppose 5*f - y - 8 = 9, -4*f - 2*y - 6 = 0. Find q, given that -108/7 - 36/7*q**f - 108/7*q - 4/7*q**3 = 0.
-3
Let y(v) be the third derivative of v**6/420 - 53*v**5/70 + 2809*v**4/28 - 148877*v**3/21 + 118*v**2. F