 + 2)/10
Suppose 5*o - 5*l = 5, -o - 4*l = -l - 5. Suppose p - 7 + 2 = 0. Determine k, given that p + 0 + 5*k**o + 1 - 3*k**2 - 8*k = 0.
1, 3
Suppose 299/4*j - 11*j**2 + 5/12*j**3 - 169/6 = 0. Calculate j.
2/5, 13
Let 0 + 24 - 3553*a**2 + 3*a**3 + 38*a + 3571*a**2 - 2*a = 0. What is a?
-2
Let u(y) be the first derivative of -y**4/2 - 22*y**3/3 - 40*y**2 - 96*y - 433. Factor u(s).
-2*(s + 3)*(s + 4)**2
Let o(b) be the third derivative of -1/360*b**5 + 1/18*b**3 - 4*b**2 + 0 + 1/144*b**4 + 0*b. Factor o(w).
-(w - 2)*(w + 1)/6
Factor 8/3*c + 16/9 + 10/9*c**3 - 4*c**2.
2*(c - 2)**2*(5*c + 2)/9
Let y(k) be the third derivative of 1/40*k**6 + 0*k + 10*k**2 + k**3 - 3/8*k**4 + 0*k**5 + 0. Find g such that y(g) = 0.
-2, 1
What is p in 2 + 5*p**2 - 17/3*p - p**3 - 1/3*p**4 = 0?
-6, 1
Let u = -14/3977 - -7996/11931. Factor 1/6*v**5 + 0 + u*v**2 + 2/3*v**4 + v**3 + 1/6*v.
v*(v + 1)**4/6
Let k(q) = q**3 - 10*q**2 + 7*q + 18. Let g = 56 - 47. Let w be k(g). Factor 0 - 2/5*a**3 + 2/5*a**2 + w*a.
-2*a**2*(a - 1)/5
Let j(l) = -14*l**2 + 14*l. Suppose 4*q + 8 = 3*o, -5*q - o = -2*q - 7. Let c(u) = u**3 - u. Let b(g) = q*j(g) + 2*c(g). Factor b(p).
2*p*(p - 6)*(p - 1)
Suppose -5*x - v + 0*v - 133 = 0, -2*v + 4 = 0. Let i = 32 + x. Determine y so that 1/5*y**i + 1/5*y + 4/5*y**4 + 6/5*y**3 + 4/5*y**2 + 0 = 0.
-1, 0
Let g(h) = 3*h**4 + 14*h**3 - 11*h**2. Let j(i) = -i**4 - 5*i**3 + 4*i**2. Let x(n) = -4*g(n) - 11*j(n). Factor x(l).
-l**3*(l + 1)
Let q be -2*1*25/(-10). Let w(j) be the third derivative of 0*j + 0*j**3 + 5*j**2 + 0 + 0*j**q + 1/420*j**6 - 1/84*j**4. Factor w(b).
2*b*(b - 1)*(b + 1)/7
Let g(q) be the third derivative of -5*q**6/72 - q**5/4 - 5*q**4/24 - q**3/3 + 13*q**2. Let w(v) be the first derivative of g(v). Determine a so that w(a) = 0.
-1, -1/5
Let g(x) be the first derivative of 2*x**6/3 + 40*x**5 + 861*x**4 + 21952*x**3/3 + 11776*x**2 - 49152*x - 254. Factor g(k).
4*(k - 1)*(k + 3)*(k + 16)**3
Let i(j) be the third derivative of -j**7/210 + 3*j**6/40 - 3*j**5/10 - j**2 + 6. What is k in i(k) = 0?
0, 3, 6
Let t = 1/387 + 385/774. Suppose 1/4 + t*z + 1/4*z**2 = 0. What is z?
-1
Let t = -14188/15 - -946. Determine g so that 0 + 8/15*g + t*g**2 = 0.
-4, 0
Let v = 2299 - 34484/15. Let u(k) be the third derivative of 0*k**4 - 9*k**2 + 0 + 0*k**3 + v*k**5 + 0*k. Determine n so that u(n) = 0.
0
Let p(m) be the third derivative of -m**7/7560 - 7*m**6/4320 - m**5/240 + 17*m**4/24 + 12*m**2. Let o(q) be the second derivative of p(q). Factor o(j).
-(j + 3)*(2*j + 1)/6
Let x = -40 + 43. Solve -6*o - 2*o**3 - 2*o**3 + 4*o**3 - x*o**3 + 9*o**2 = 0.
0, 1, 2
Let i(q) be the first derivative of q**4/16 + q**3/3 - 19*q**2/8 + 7*q/2 + 32. Factor i(z).
(z - 2)*(z - 1)*(z + 7)/4
Find t such that -6/7*t**2 + 27/7*t**3 + 0 + 6/7*t**4 - 27/7*t**5 + 0*t = 0.
-1, 0, 2/9, 1
Suppose 44*w = 40*w - 4. Let p(x) = 3*x**2 - 13*x - 20. Let r(f) = -f + 1. Let h(a) = w*p(a) - 2*r(a). Factor h(n).
-3*(n - 6)*(n + 1)
Let d be 0 - -1 - ((11 - 5) + -7). Suppose -d*k = -k - 4. Suppose -14*n**2 - 4/9 - 38/9*n - 6*n**k - 18*n**3 = 0. Calculate n.
-2, -1/3
Let x(n) be the second derivative of -n**7/525 + n**6/300 + n**5/150 - n**4/60 - 13*n**2/2 - 5*n. Let q(g) be the first derivative of x(g). Factor q(b).
-2*b*(b - 1)**2*(b + 1)/5
Solve -6/5*z**3 - 8/5*z**4 - 12/5 + 2/5*z + 24/5*z**2 = 0 for z.
-2, -3/4, 1
Suppose 2*r = 13 + 5. Find g, given that 10 - 5*g - 9 - 10*g**2 + r + 5*g**3 = 0.
-1, 1, 2
Let g = 5644 - 11285/2. Factor -1/2*h**2 + g*h - 1.
-(h - 2)*(h - 1)/2
Let d = -205 + 212. Suppose -5*a + 10 = -2*f, -5*f + 10 = -2*a + d*a. Let 3/4*t**a - 3/2 - 3/4*t = 0. Calculate t.
-1, 2
Let v(g) be the third derivative of -g**7/315 - g**6/15 - g**5/3 - 7*g**4/9 - g**3 + 62*g**2. Factor v(x).
-2*(x + 1)**3*(x + 9)/3
Let m(k) be the third derivative of -k**5/480 - 9*k**4/64 - 39*k**2 + 2. Factor m(n).
-n*(n + 27)/8
Suppose 0 = 17*c + 337 - 371. Let a(u) be the first derivative of -9/8*u**c - 1/4*u**3 - 6 + 0*u. Factor a(r).
-3*r*(r + 3)/4
Let q be ((-22)/((-528)/72))/1. Factor 1/2*r**5 - 3/2*r + 0 - q*r**3 + 4*r**2 + 0*r**4.
r*(r - 1)**3*(r + 3)/2
Let k(d) be the second derivative of -d**6/720 - d**5/60 - d**4/12 - 2*d**3/9 + 8*d**2 + 8*d. Let m(x) be the first derivative of k(x). Factor m(s).
-(s + 2)**3/6
Let m be 10 + (-1 + 9)*-1. Find a, given that -2/3*a**m + 0 - 2/9*a**3 - 4/9*a = 0.
-2, -1, 0
Let q(m) be the first derivative of -9/5*m**5 - 192*m + 360*m**2 + 11 + 111/4*m**4 - 156*m**3. Solve q(s) = 0.
1/3, 4
Let y be 0 + (-9 - -4) - (-37)/7. Let k(o) be the second derivative of 0 - 4*o + 1/21*o**4 - 2/21*o**3 + 1/35*o**5 - y*o**2. Suppose k(g) = 0. What is g?
-1, 1
Let g(o) be the third derivative of o**9/3780 + o**8/5040 - o**7/2520 + o**5/6 + 2*o**2. Let v(h) be the third derivative of g(h). Find a, given that v(a) = 0.
-1/2, 0, 1/4
Determine b so that -17*b - 1/2*b**3 - 11/2*b**2 - 12 = 0.
-6, -4, -1
Let v(l) be the third derivative of l**6/180 + 2*l**5/45 + 47*l**2. Factor v(c).
2*c**2*(c + 4)/3
Let i(o) be the third derivative of o**8/112 + 15*o**7/14 + 201*o**6/4 + 2231*o**5/2 + 87285*o**4/8 + 109503*o**3/2 + o**2 + 13*o. Factor i(x).
3*(x + 3)**2*(x + 23)**3
Suppose -16*n = -18*n + 6. Factor 0*y**2 - y**3 + 2*y**3 - 3*y**n + 4*y**2 - 2*y.
-2*y*(y - 1)**2
Factor -14/3*g + 0 - 1/3*g**2.
-g*(g + 14)/3
Let h(z) be the first derivative of -z**6/6 + z**5/5 + z**4/4 - z**3/3 + 85. Let h(p) = 0. Calculate p.
-1, 0, 1
Let o(b) be the first derivative of -b**4/18 + 20*b**3/27 + 23*b**2/9 + 8*b/3 + 57. Factor o(r).
-2*(r - 12)*(r + 1)**2/9
Find j, given that 102/11*j**2 - 20/11*j**4 + 64/11*j - 3/11*j**5 - 32/11 - j**3 = 0.
-4, -1, 1/3, 2
Let w(x) = -2*x**2 - 43*x + 45. Let l(m) = -3*m**2 - 42*m + 45. Let b(q) = 5*l(q) - 6*w(q). Factor b(s).
-3*(s - 15)*(s - 1)
Let d(j) = -7*j**2 - 20*j + 4. Let l(b) = -b**2 - 2*b + 1. Let x(c) = d(c) - 4*l(c). Determine p so that x(p) = 0.
-4, 0
Let o(j) = -2*j**3 - 100*j**2 - 202*j - 92. Let x(i) = 2*i**3 + 99*i**2 + 198*i + 92. Let l(a) = -3*o(a) - 4*x(a). Let l(b) = 0. Calculate b.
-46, -1
Suppose -2/3*c**3 + 0 + 2*c + 4/3*c**2 = 0. Calculate c.
-1, 0, 3
Suppose -82/5 - 84/5*q - 2/5*q**2 = 0. Calculate q.
-41, -1
Suppose 63654/7*r - 618/7*r**2 + 2/7*r**3 - 2185454/7 = 0. What is r?
103
Let z(q) be the third derivative of q**8/264 + 43*q**7/231 + 478*q**6/165 + 1972*q**5/165 + 364*q**4/33 - 784*q**3/33 + 3*q**2. Find j, given that z(j) = 0.
-14, -2, -1, 2/7
Let z(p) be the first derivative of -64*p**5/5 + 56*p**4 - 76*p**3 + 38*p**2 - 8*p - 103. Solve z(f) = 0 for f.
1/4, 1, 2
Let a(u) be the third derivative of -u**4/12 - 2*u**3/3 - 2*u**2. Let t be a(-3). Factor -t*r - 2*r + 2*r + 2*r**3.
2*r*(r - 1)*(r + 1)
Let w be (-121)/(-110) + 135/54. Factor -27/5 + w*r - 3/5*r**2.
-3*(r - 3)**2/5
Let a(k) be the third derivative of 5*k**8/336 - k**6/4 - 2*k**5/3 - 5*k**4/8 - 42*k**2. Factor a(l).
5*l*(l - 3)*(l + 1)**3
Let m(n) be the second derivative of n**6/1980 + n**5/132 + n**4/33 - 3*n**3 + 19*n. Let b(c) be the second derivative of m(c). Find p, given that b(p) = 0.
-4, -1
Let d(q) = -155 + 32*q + 0*q**2 - 15*q**2 + 110 + 8*q. Let c(a) = -8*a**2 + 20*a - 23. Let b(g) = -5*c(g) + 3*d(g). Find k such that b(k) = 0.
2
Suppose -3*x + x + 6 = 3*m, 4*x = 2*m + 12. Determine k so that m*k**2 - 3*k**2 + k**2 + 4*k**2 = 0.
0
Let l(x) be the third derivative of x**6/20 - x**5/15 - 2*x**2. Let a(k) = 13*k**3 - 8*k**2. Suppose -2*m - 3 - 1 = 0. Let d(n) = m*a(n) + 5*l(n). Factor d(h).
4*h**2*(h - 1)
Let j(m) be the first derivative of m**6/240 - m**5/40 + 8*m**3 - 6. Let h(i) be the third derivative of j(i). Factor h(a).
3*a*(a - 2)/2
Let f(l) be the first derivative of -l**6/12 + 2*l**5/5 + l**4/4 - 4*l**3/3 - l**2/4 + 2*l + 328. Find c, given that f(c) = 0.
-1, 1, 4
Let y(b) be the first derivative of -5*b**4 - 4*b**3/21 + 52*b**2/7 - 32*b/7 + 398. Let y(c) = 0. What is c?
-1, 2/5, 4/7
Let p(g) be the third derivative of -g**5/20 + 141*g**4/4 - 19881*g**3/2 + 12*g**2 - 2*g. Let p(c) = 0. What is c?
141
Suppose 6*m - 3*o - 21 = 3*m, o - 18 = -4*m. Let z(g) be the first derivative of -1/15*g**3 + 0*g + 1/5*g**2 - m. Factor z(f).
-f*(f - 2)/5
Factor -12*c**3 + 5*c**5 - 2*c**5 - 36*c - 5*c**2 + 6*c**4 - 55*c**2 - 9*c**3.
3*c*(c - 3)*(c + 1)*(c + 2)**2
Let u(g)