*2 + 2*u - 1. Let i be t(1). What is c in 7 + 14*c**2 - 18*c**2 - i*c + 1 = 0?
-2, 1
Let v be (-173)/(-5) - ((-7)/5 + 2). Find n such that 38*n**3 - v*n**3 - 2 + 5 - 8*n**2 - 52*n - 43 = 0.
-2, -1, 5
Suppose -2*a - 56/3 + 2/3*a**2 = 0. Calculate a.
-4, 7
Let k be 0/1 + -1 + 1. Let f = -11545/9 + 1283. Let f*j**2 - 2/9*j + k = 0. Calculate j.
0, 1
Suppose 2*f - 2*w - 8 = 0, -f + 0*f + 5*w + 20 = 0. Suppose -o = 3 - f, 5*y + 4*o + 12 = 0. Factor 0 - 8/3*j**5 + 0*j + 2/3*j**4 + 0*j**2 + y*j**3.
-2*j**4*(4*j - 1)/3
Let f(l) be the third derivative of 5/6*l**4 + 2*l**3 + 0 + 1/72*l**6 + 2*l**2 + 1/6*l**5 + 0*l. Let p(s) be the first derivative of f(s). Factor p(c).
5*(c + 2)**2
Factor -22*f**4 + 179*f**2 - 24*f - 151*f**2 + 18*f**4.
-4*f*(f - 2)*(f - 1)*(f + 3)
Let j = 419 - 415. Let d(u) be the second derivative of -8*u + 1/6*u**2 + 0 + 0*u**3 - 1/36*u**j. Suppose d(c) = 0. Calculate c.
-1, 1
Factor 28*f**2 - 68*f + 4*f**4 - 28*f**3 + 16*f**2 + 3*f**2 + 24 + 21*f**2.
4*(f - 3)*(f - 2)*(f - 1)**2
Factor 0 + 8/3*a**3 + 20/9*a - 14/3*a**2 - 2/9*a**4.
-2*a*(a - 10)*(a - 1)**2/9
Suppose -l - 6*j = -j + 13, -13 = -5*l + j. Suppose 0*x - l*t - 10 = -4*x, -t - 8 = -3*x. Let -1/6*b**x + 0*b + 1/6*b**4 - 1/3*b**2 + 0 = 0. Calculate b.
-1, 0, 2
Let x(d) be the first derivative of -d**6/20 + d**5/4 - d**4/2 + d**3/2 - d**2/4 + 10*d + 14. Let k(r) be the first derivative of x(r). Factor k(y).
-(y - 1)**3*(3*y - 1)/2
Let h(x) be the second derivative of -x**7/630 - 11*x**6/180 - x**5/3 + 31*x**4/12 + 47*x. Let c(y) be the third derivative of h(y). Factor c(r).
-4*(r + 1)*(r + 10)
Let t(d) = -d**2 + 5*d. Let h be t(4). Let k(n) = 6*n + 352. Let q be k(-58). Solve 2*v**5 + 5*v**4 + 2*v**q - 5*v**h = 0 for v.
-1, 0
Determine b, given that 12/5*b - 18/5 - 2/5*b**2 = 0.
3
Factor 0 + 52/3*g**2 + 18*g - 2/3*g**3.
-2*g*(g - 27)*(g + 1)/3
Let p(x) be the first derivative of -7/3*x**3 + 2 + 0*x + 0*x**2 - 1/36*x**4 + 1/1080*x**6 + 1/360*x**5. Let b(q) be the third derivative of p(q). Factor b(z).
(z - 1)*(z + 2)/3
Let t(v) be the first derivative of v**3/4 - 9*v**2 + 33*v + 298. Factor t(h).
3*(h - 22)*(h - 2)/4
Suppose -4 = -5*v + 3*v, 0 = 2*i - 3*v - 2. Determine b so that 105*b**2 + 57*b**2 + 11 + 243*b**i + 36*b + 324*b**3 - 8 = 0.
-1/3
Suppose -3*c + 9 = -2*v, 3*c - 8*c + 10 = -5*v. Find w, given that 7 - 5*w**2 - 15*w**2 + 6*w**3 + v*w + 9 + 5*w = 0.
-2/3, 2
Suppose 7/5*k - 4/5*k**2 - 3/5 = 0. Calculate k.
3/4, 1
Let p(a) be the third derivative of a**8/30240 - a**7/756 + 5*a**6/216 + 7*a**5/60 + 17*a**2. Let w(k) be the third derivative of p(k). Factor w(o).
2*(o - 5)**2/3
Let v be (-12)/32*4/(-30)*3. Let t(a) be the second derivative of 2/3*a**4 - a**2 + 0 - v*a**5 - a - 1/2*a**3. Factor t(p).
-(p - 2)*(p - 1)*(3*p + 1)
Suppose 0 = 33*r - 18*r - 30. Let y be (-4)/14 - 6/(-7). Let y + 8/7*n**r + 10/7*n + 2/7*n**3 = 0. What is n?
-2, -1
Suppose 5 + 3 = 4*y. Factor -3*r + 102*r**3 - 3*r**y - 101*r**3 + 3*r**4 + 2*r.
r*(r - 1)*(r + 1)*(3*r + 1)
Let m(w) be the first derivative of 9 - 3/2*w**2 + 0*w - w**3. Solve m(a) = 0 for a.
-1, 0
Let z be (-3 - (-7 - -3)) + 9. Suppose -k - 5*a - 18 = 0, 0*a = k + 3*a + z. Factor 4*h - 2*h**k + h**2 + 47 - 50.
-(h - 3)*(h - 1)
Let f = 4959/280 - 141/8. Let b(m) be the third derivative of 0*m**3 - 1/2*m**4 - 13/40*m**6 + 0*m - 1/112*m**8 - m**2 + 3/5*m**5 + f*m**7 + 0. Factor b(x).
-3*x*(x - 2)**2*(x - 1)**2
Solve -6 + 10/7*k**2 + 2/7*k**3 - 34/7*k = 0 for k.
-7, -1, 3
Let g = -992 - -995. Factor -38/9*o**g - 2/9*o - 4/9 + 10/3*o**2 + 14/9*o**4.
2*(o - 1)**3*(7*o + 2)/9
Let r(p) be the third derivative of p**8/168 - 37*p**7/735 + 3*p**6/28 + 5*p**5/42 - 13*p**4/21 + 4*p**3/7 - 6*p**2 - 5. Determine x, given that r(x) = 0.
-1, 2/7, 1, 2, 3
Let r(x) = -x**3 - 10*x**2 + 4. Let d be r(-10). Suppose -d*s + s + 4*a = -2, -5 = -2*s - a. Factor 1/4*q**3 + 0*q**s - 1/4*q + 0.
q*(q - 1)*(q + 1)/4
Factor 11*d**3 + 29*d + 2*d**4 + 5*d**3 - 13*d**4 - 35*d + d**2.
-d*(d - 1)**2*(11*d + 6)
Let u be 2/14 - (-275)/35. Let k = u + -1. Factor 0*r**3 - 2*r**5 + 0*r**2 + 2*r**4 + k*r**3 - 3*r**3 - 2*r + 2 - 4*r**2.
-2*(r - 1)**3*(r + 1)**2
Let o(r) be the first derivative of -3/10*r**5 - 1/8*r**4 - 18 + 1/2*r**3 + 0*r - 1/12*r**6 + 1/2*r**2. Find x such that o(x) = 0.
-2, -1, 0, 1
Factor 138/5 - 63/5*m - 3/5*m**3 - 72/5*m**2.
-3*(m - 1)*(m + 2)*(m + 23)/5
Suppose 5*g + 14 = 2*s - 5*s, -4*s + 4*g = -24. Factor 242/9 + 2/9*i**s + 44/9*i.
2*(i + 11)**2/9
Let d(g) be the second derivative of 4*g**5/5 + g**4/3 - 2*g**3 + 18*g. Let d(r) = 0. Calculate r.
-1, 0, 3/4
Let b(d) be the second derivative of 0*d**2 + 0 - 14*d + 1/75*d**6 + 0*d**4 - 1/50*d**5 + 0*d**3. Factor b(w).
2*w**3*(w - 1)/5
Let i(b) be the first derivative of 25 - 9*b**3 + 15/4*b**4 - 6*b - 3/5*b**5 + 21/2*b**2. Factor i(r).
-3*(r - 2)*(r - 1)**3
Determine j so that 114*j - 89*j**2 + 20*j**2 - 5 - 46*j**2 + 11*j - 5 = 0.
2/23, 1
Let n(k) = 4*k**5 + 3*k**4 + 2*k**2 - 4*k - 5. Let p = 4 + -10. Let o(v) = -5*v**5 - 4*v**4 - 2*v**2 + 5*v + 6. Let b(l) = p*n(l) - 5*o(l). Factor b(x).
x*(x - 1)*(x + 1)**3
Suppose i = -5*b - 12 + 29, -6*i = 4*b - 50. Factor 8/9*k - 1/9*k**4 - 2/9*k**3 + 4/9 + 1/3*k**b.
-(k - 2)*(k + 1)**2*(k + 2)/9
Factor 1/3*c**4 + 16/3*c + 0 - 31/3*c**2 + 14/3*c**3.
c*(c - 1)**2*(c + 16)/3
Let c(n) be the first derivative of n**5/30 + 5*n**4/8 + 13*n**3/9 + 236. Find w such that c(w) = 0.
-13, -2, 0
Let w(d) be the second derivative of d**5/90 + d**4/36 - 2*d**3/9 - 16*d**2 + 24*d. Let q(t) be the first derivative of w(t). Factor q(m).
2*(m - 1)*(m + 2)/3
Suppose 23*l = 28*l - 20. Factor 20*k + 5*k**l - 107 - 15*k**3 + 107.
5*k*(k - 2)**2*(k + 1)
Factor 3/5*g**3 - 18/5 + 39/5*g - 24/5*g**2.
3*(g - 6)*(g - 1)**2/5
Suppose 112*b = 318 + 130. Solve -57*o**2 + 12 + 15/2*o**b - 71/2*o**3 - 2*o = 0.
-1, -2/3, 2/5, 6
Let h = -64/7 + 2077/231. Let m = h + 16/33. Solve -m*g**3 + 0 - 1/3*g**2 + 2/3*g = 0.
-2, 0, 1
Let l(q) be the first derivative of -q**5/120 + q**3/12 - 7*q**2 + 5. Let g(x) be the second derivative of l(x). Determine f so that g(f) = 0.
-1, 1
Let w(u) = 15*u**4 + 85*u**3 + 200*u**2 + 165*u - 5. Let s(i) = -8*i**4 - 43*i**3 - 100*i**2 - 83*i + 3. Let x(n) = 5*s(n) + 3*w(n). Let x(r) = 0. Calculate r.
-4, -2, 0
Let q(g) be the first derivative of 10*g**4 + 140/3*g**3 + 16*g + 48*g**2 - 6 - 36/5*g**5 - 8/3*g**6. Determine p, given that q(p) = 0.
-2, -1, -1/4, 2
Let z(b) be the third derivative of b**7/6300 - b**6/450 + 25*b**4/24 + 33*b**2. Let q(n) be the second derivative of z(n). Let q(g) = 0. Calculate g.
0, 4
Suppose 16/7 - 2*g**3 + 68/7*g + 38/7*g**2 = 0. What is g?
-1, -2/7, 4
Let w be 9/1*(-2)/(-6). Suppose j - 56 = -w*j. Suppose 28*l**2 - 6*l - j*l**2 - 9 - 15*l**2 = 0. What is l?
-3
Let c be (-12)/(-5) + (-8)/20. Find i, given that 23*i - 55 + 15*i + 5*i**3 - 65*i**c + 77*i = 0.
1, 11
Let a(x) be the second derivative of x**6/135 - 7*x**5/15 + 349*x**4/54 + 644*x**3/9 + 2116*x**2/9 - x - 3. Suppose a(j) = 0. Calculate j.
-2, 23
Let n(j) be the third derivative of j**7/840 - 11*j**6/480 + 37*j**5/240 - 15*j**4/32 + 3*j**3/4 - 255*j**2. Solve n(x) = 0.
1, 3, 6
Let o(g) be the third derivative of g**6/360 - g**4/72 - 101*g**2. Factor o(p).
p*(p - 1)*(p + 1)/3
Suppose 0 = -21*w - 60*w + 243. Factor 11/8*r**w + 0*r + 1/4*r**2 + 9/8*r**4 + 0.
r**2*(r + 1)*(9*r + 2)/8
Let i be -15*(-5)/(-30) - -3. Let o(z) be the third derivative of -1/10*z**6 - i*z**3 - 5/8*z**4 + 0*z + 5*z**2 - 2/5*z**5 + 0. Let o(u) = 0. Calculate u.
-1, -1/2
Let x(q) = 9*q - 2. Let l be x(2). Let g be 114/20 + (-24)/l. Factor -9/5*t**4 + 3/5*t + g*t**3 + 0 - 3*t**2.
-3*t*(t - 1)**2*(3*t - 1)/5
Let -3/5*g**3 + 36/5 - 18/5*g**2 - 3*g = 0. What is g?
-4, -3, 1
Suppose 3/5*i**3 + 69/5*i - 6*i**2 - 42/5 = 0. What is i?
1, 2, 7
Let a be (1 + -2)*(9 - 11). Factor 10*y**2 + 35*y - 35*y**3 - 10 + 0*y + 0*y**a.
-5*(y - 1)*(y + 1)*(7*y - 2)
Let j(i) = -i**3 + 46*i**2 - 2*i. Let y be j(0). Let y - 33/2*a**2 - 19/2*a**3 - 3/2*a**4 - 9/2*a = 0. Calculate a.
-3, -1/3, 0
Let y(b) be the second derivative of -b**4/48 + 5*b**3/12 + 3*b**2 - 5*b + 17. Factor y(c).
-(c - 12)*(c + 2)/4
Let w be 2848/(-128) + 23 - (-2)/(-8)*1. Factor -w*t**4 + 0*t - 3/2*t**2 - 2*t**3 + 0.
-t**2*(t + 1)*(t + 3)/2
Let n(a) = 3*a**3 - 2*