13720/3 + 476*u**2 - 7252/3*u - 124/3*u**3 + 4/3*u**4 = 0. What is u?
7, 10
Suppose -56*h = -49*h. Let u(b) be the third derivative of -1/150*b**6 + h*b + 0*b**7 + 0*b**3 - 4*b**2 + 0 + 1/60*b**4 + 0*b**5 + 1/840*b**8. Factor u(q).
2*q*(q - 1)**2*(q + 1)**2/5
Suppose -555*l - 722 - 30*l**2 - 2*l**3 - 243*l - 48*l**2 = 0. Calculate l.
-19, -1
Factor -10/7 - 8/7*z + 2/7*z**2.
2*(z - 5)*(z + 1)/7
Let v(p) be the second derivative of -p**4/3 + p**3/3 + 2*p**2 + 10*p. Let r(j) = 9*j**2 - 3*j - 7. Let u(d) = -2*r(d) - 5*v(d). Let u(y) = 0. What is y?
-1, 3
Let a(m) = -11*m - 1. Let p be a(-1). Find o such that -3*o**2 - 27*o - 9 + 5*o + p*o = 0.
-3, -1
Suppose -5*f - b = -39 + 14, 3*f = 2*b + 15. Let d be (-2)/(-16)*-4 + f/2. Factor -8/5 - 8/5*a - 2/5*a**d.
-2*(a + 2)**2/5
Let u(i) be the third derivative of 1/36*i**4 + 0 + 0*i**3 - 1/630*i**7 - 1/180*i**6 + 1/180*i**5 + 0*i + i**2. Determine z, given that u(z) = 0.
-2, -1, 0, 1
Suppose -4*b + 8*b = 32. Let z(g) = -g + 12. Let o be z(b). Find x, given that -11 + 3 + 8*x - o*x + 4*x**2 = 0.
-2, 1
Let n(x) be the third derivative of 1/12*x**4 + 9*x**2 + 1/60*x**5 + 2*x + 0*x**3 + 0. Solve n(v) = 0.
-2, 0
Suppose 5*b - 4*r - 52 = 0, 0*r + 4*r - 4 = -2*b. Let p be b/4 + -4 - -5. Factor 0 + 16/9*x**p + 0*x + 2/9*x**5 + 10/9*x**4 + 8/9*x**2.
2*x**2*(x + 1)*(x + 2)**2/9
Let 0*u - 48/7*u**3 - 46/7*u**2 + 0 - 2/7*u**4 = 0. What is u?
-23, -1, 0
Let g = 565 + -25424/45. Let l(o) be the second derivative of 7*o - 2/9*o**2 - g*o**5 - 1/27*o**3 + 5/54*o**4 + 0. Suppose l(u) = 0. Calculate u.
-1/2, 1, 2
Let x(i) = -5*i - 1. Let n(t) = -t**2 + 167*t - 9221. Let p(s) = -n(s) + 5*x(s). Find z, given that p(z) = 0.
96
Let w be -3*32/18*-24. Let z = w - 1148/9. Determine u so that -2/9 - 2/9*u**2 + z*u = 0.
1
Let h(v) be the first derivative of -v**5/20 + v**4/4 + 2*v**3/3 - 34*v + 23. Let u(p) be the first derivative of h(p). Factor u(j).
-j*(j - 4)*(j + 1)
Let x(i) = 16*i**4 - 37*i**3 + 48*i**2 - 5*i - 10. Let t(l) = l**4 + 2*l**3 + l - 1. Let b(p) = -4*t(p) + x(p). Factor b(r).
3*(r - 2)*(r - 1)**2*(4*r + 1)
Let j(y) be the second derivative of -1/15*y**6 + 27*y**2 + 0 + 0*y**3 - 3*y**4 - 4/5*y**5 + 15*y. Suppose j(u) = 0. What is u?
-3, 1
Suppose -11 = l - 3*y, -2*l - y = 3*l + 7. Let p be l/7 + (3 - 207/84). Find m such that p*m**2 + 0*m + 1/4*m**3 + 0 = 0.
-1, 0
Let f(o) = 14*o - 3. Let b be f(5). Let k = -62 + b. Solve 0 + 5*t**2 + 1/2*t + 18*t**3 + 27/2*t**k + 27*t**4 = 0 for t.
-1, -1/3, 0
Let m(l) = l**3 - 10*l**2 + 3*l + 57. Let d be m(9). Let y(z) be the first derivative of -4 + d*z**2 + 0*z - z**3 - 3/4*z**4. Factor y(k).
-3*k*(k - 1)*(k + 2)
Let j(b) be the third derivative of b**5/90 + 47*b**4/108 - 16*b**3/27 - 13*b**2 + 5. Factor j(h).
2*(h + 16)*(3*h - 1)/9
Let t(v) be the third derivative of -v**8/196 - 31*v**7/735 - 53*v**6/420 - 16*v**5/105 - v**4/21 - 505*v**2. Let t(u) = 0. Calculate u.
-2, -1, -1/6, 0
Let k = -18 + 20. What is j in 6 - 10*j + 62*j**3 + 48*j**2 + 28*j**3 - 28*j - k = 0?
-1, 2/15, 1/3
Suppose 0 = 11*c + 6*c - c. Let j(b) be the first derivative of -5 + 2/3*b**3 + c*b**4 + 0*b - 2/5*b**5 + 0*b**2. Factor j(k).
-2*k**2*(k - 1)*(k + 1)
Factor 0 + 0*j**3 - 1/9*j**2 + 0*j + 1/9*j**4.
j**2*(j - 1)*(j + 1)/9
Let a = -31 - -35. Suppose 8*q - 10*q + a = 0. Factor 0*s + 1/5*s**4 + 0 - 1/5*s**3 + 1/5*s**5 - 1/5*s**q.
s**2*(s - 1)*(s + 1)**2/5
Let t be (-2 - -2) + (8/(-9))/(-4). Factor 0 + 4/9*v - t*v**2.
-2*v*(v - 2)/9
Let z = -2 - -4. Find i such that 1/5*i + 2/5 - 2/5*i**z - 1/5*i**3 = 0.
-2, -1, 1
Let r(p) = -14*p**3 + 2*p + 1. Let k be r(-1). Suppose 1 - 3*l**2 - k*l - 10*l + 17 + 8*l = 0. Calculate l.
-6, 1
Suppose -2*v + 30*n - 27*n - 8 = 0, 4*v = -3*n + 20. Factor 6/5*j**v - 12/5*j - 1/5*j**3 + 8/5.
-(j - 2)**3/5
Factor -70*m + 2450 + 1/2*m**2.
(m - 70)**2/2
Let a(h) be the first derivative of h**8/1680 - h**7/420 + h**6/360 + 2*h**3/3 - 1. Let y(v) be the third derivative of a(v). Factor y(d).
d**2*(d - 1)**2
Let j be 18/(-12) - 18/(-4). Let d be (j + -1)/(2/3). Let -2*i**2 - 5*i - 13*i**2 + 4*i**3 - 12*i**3 - 7*i**d - 5*i**4 = 0. What is i?
-1, 0
Let o = 11 + -5. Let u(z) = 3*z**3 + 6*z**2 + 3 - 8*z + 2*z - 9. Let l(m) = 3*m**3 + 6*m**2 - 7*m - 7. Let f(w) = o*l(w) - 7*u(w). Suppose f(s) = 0. What is s?
-2, 0
Let p be (-4)/(-10) - 140/(-25). Let s(a) = 2*a - 10. Let k be s(p). Determine f, given that -f**2 - 2 - f**2 + k - 2*f = 0.
-1, 0
Let s be -32 + 43 - (-3 - 200/(-15)). Solve 2/3*p + s*p**2 - 4/3 = 0 for p.
-2, 1
Let j be ((-243)/(-63))/(6/652). Let n = -418 + j. Solve -4/7*u**3 - 4/7*u**5 + 2/7 - 10/7*u**4 + n*u**2 + 8/7*u = 0.
-1, -1/2, 1
Let t(x) = 199*x**3 + 65*x**2 - 177*x + 7. Let a(r) = r**3 + 8*r - 1. Let w(j) = 5*a(j) + t(j). Factor w(i).
(i + 1)*(3*i - 2)*(68*i - 1)
Let n(r) be the second derivative of -r**4/42 + 3*r**3/7 + 10*r**2/7 + 39*r. Factor n(i).
-2*(i - 10)*(i + 1)/7
Suppose -2*t = -186 + 138. Let k be (-7)/(-3) + (-3)/9. Find r, given that -32 + 9*r - t*r**k - 4*r**3 - 57*r + 35 - 35 = 0.
-2
Let j = 103/1001 + -2/77. Let w = 8/65 + j. Solve -2/5 - w*k**2 - 3/5*k = 0 for k.
-2, -1
Let h = -3099/10 + 310. Let b(t) be the second derivative of 0 - 1/30*t**6 - h*t**5 + 6*t + 0*t**4 + 1/3*t**3 + 1/2*t**2. Factor b(m).
-(m - 1)*(m + 1)**3
Let 2/3*i**2 - 8*i + 0 = 0. Calculate i.
0, 12
Let a be 25 - (2 - 6/2). Let m be 126/a - 12/(-78). Find d such that 4*d - 2*d**2 - 2 - 6*d + m + 1 = 0.
-2, 1
Let r(w) be the first derivative of -4/7*w - 5 - 3/7*w**2 + 4/21*w**3. Factor r(i).
2*(i - 2)*(2*i + 1)/7
Let x(h) be the third derivative of h**2 + 7/300*h**5 - 1/30*h**3 - 1/60*h**4 - 1/150*h**6 + 0*h + 0. Factor x(f).
-(f - 1)**2*(4*f + 1)/5
Let a be ((-4)/120)/((-110)/15 - -7). Let u(h) be the second derivative of a*h**5 - 1/3*h**3 + 0 + 0*h**2 + 1/6*h**6 + 3*h - 5/12*h**4. Factor u(c).
c*(c - 1)*(c + 1)*(5*c + 2)
Suppose 0 = 28*m - 44*m + 64. Let p(v) be the second derivative of -4/3*v**3 + 4*v + 9/10*v**5 + 0 - 8/3*v**m + 0*v**2. Factor p(h).
2*h*(h - 2)*(9*h + 2)
Let z be (-12)/765 - 66/(-495). Find f such that 8/17*f + z*f**5 - 24/17*f**2 - 12/17*f**4 + 0 + 26/17*f**3 = 0.
0, 1, 2
Let q(r) be the second derivative of -r**6/150 - 17*r**5/50 + 7*r**4/12 - r + 146. Factor q(w).
-w**2*(w - 1)*(w + 35)/5
Suppose -6/7*g**3 + 39/7*g - 3/7*g**2 - 18/7 = 0. What is g?
-3, 1/2, 2
Let k(w) be the third derivative of 5*w**9/3024 - 5*w**8/336 + w**7/24 - w**6/24 + w**3 + 14*w**2. Let g(d) be the first derivative of k(d). Factor g(h).
5*h**2*(h - 3)*(h - 1)**2
Let l(r) be the first derivative of r**4/3 + 2*r**3 + 4*r**2 + 16*r - 32. Let c(j) be the first derivative of l(j). Determine i so that c(i) = 0.
-2, -1
Suppose 0 = -6*w + w + 40. Factor 0*y**4 - 20*y**3 + 0*y**4 + 4 - y**4 + 22*y**3 + 3*y**2 - w*y.
-(y - 2)*(y - 1)**2*(y + 2)
Suppose 2*v = v + 3, 2*m - 1 = v. Suppose 2*r - 4*j = 22, 4*j = -2*r + r - 13. Factor 13 - 13 - 4*n - m*n**2 + 2*n**r.
2*n*(n - 2)*(n + 1)
Let p(k) be the second derivative of -k**7/56 + 33*k**5/80 - 9*k**4/8 + k**3 + 8*k + 5. Solve p(y) = 0.
-4, 0, 1, 2
Let r(u) = -u**3 + 6*u**2 + 8*u. Let o be r(7). Suppose 7*s - 4*s = -o*s. Factor 0*d + 0*d**2 + 1/2*d**5 + 0*d**4 + 0*d**3 + s.
d**5/2
Let m(d) = d**3 - 70*d**2 + 57*d. Let x(f) = -70*f**2 + 55*f. Let i(z) = 5*m(z) - 4*x(z). Factor i(c).
5*c*(c - 13)*(c - 1)
Suppose -4*f - 14*y + 15 = -13*y, -3*y - 3 = 0. What is m in 0 + 0*m**3 + 2/11*m + 4/11*m**f - 4/11*m**2 - 2/11*m**5 = 0?
-1, 0, 1
Let n(u) be the third derivative of -u**6/30 - 29*u**5/15 + 5*u**4 - u**2 - 94*u. Suppose n(o) = 0. Calculate o.
-30, 0, 1
Suppose -3*w + 20 - 5 = 0. Let z(u) = u**2 - 4*u - 3. Let o be z(5). Find v, given that 8/3*v**4 + 8/3*v**o + 0 + 2/3*v + 4*v**3 + 2/3*v**w = 0.
-1, 0
Let t = -237 - -349. Let h = 112 - t. Solve -2/5*o**2 + 6/5*o + h = 0 for o.
0, 3
Let g be (-12 + (-1 - -13))/1. Find n such that 2/3*n**4 + 1/3*n - 1/3*n**5 + 0 + g*n**3 - 2/3*n**2 = 0.
-1, 0, 1
Let n(c) be the third derivative of 1/72*c**3 + 0 - 15*c**2 - 1/144*c**4 + 1/720*c**5 + 0*c. Determine j, given that n(j) = 0.
1
Let z be (-35)/(-15) + ((-1)/(-3))/(-1). What is y in 381 + y**5 - 3*y**3 + y**2 - 381 - y**4 + z*y = 0?
-1, 0, 1, 2
Let j(y) be the third derivative of -y**5/80 + 7*y**4/32 + y**3 + 90*y**2. Factor j(a).
-3*(a - 8)*(a + 1)/4
L