 - 2)*(k - 1)**2/2
Suppose -2 = -3*l - z + 8, -5*z = -20. Let m(g) = g**2 + g + 1. Let r(k) = 80 + 74 - 6*k - 144 + 2*k**3. Let v(n) = l*m(n) - r(n). Factor v(w).
-2*(w - 2)*(w - 1)*(w + 2)
Let x(l) be the second derivative of l**6/30 + 2*l**5/5 + 4*l**4/3 + 11*l**2/2 + 6*l - 2. Let y(z) be the first derivative of x(z). Factor y(o).
4*o*(o + 2)*(o + 4)
Factor 4/7*r**2 + 643204/7 - 3208/7*r.
4*(r - 401)**2/7
Let o = -2/432051 - -864112/2160255. Factor -9248/5 + 1904*x - 274/5*x**2 + o*x**3.
2*(x - 68)**2*(x - 1)/5
Let i be ((-5727)/581 - (-12)/14) + 9. Let d(n) be the second derivative of -1/5*n**5 + 11*n + i*n**2 + 0*n**4 + 0 + 1/5*n**6 - 1/21*n**7 + 0*n**3. Factor d(p).
-2*p**3*(p - 2)*(p - 1)
Let r(h) be the second derivative of 12*h - 8/3*h**3 + 0 - 42*h**2 + 1/3*h**4. Factor r(n).
4*(n - 7)*(n + 3)
Suppose 9 = -o - 4*m, -o = -2*m - 18 + 9. What is t in -o*t - 3*t**5 + 5*t**4 + t**4 - 108 - 2*t**3 - 12*t**2 + 114 + 8*t**3 = 0?
-1, 1, 2
Solve -372*r - 42*r**3 - 2696*r**4 + 112*r**2 + 114*r**2 + 252 + 2699*r**4 - 31*r**2 = 0 for r.
2, 3, 7
Let l = -272751 + 2454773/9. Find b, given that l*b**2 - 80/9 + 92/3*b = 0.
-20, 2/7
Let n(b) be the second derivative of -b**6/50 + 111*b**5/100 - 9*b**4/5 - 901*b. Factor n(i).
-3*i**2*(i - 36)*(i - 1)/5
Let q(o) be the third derivative of o**7/180 + o**6/144 - 2*o**5/45 + o**4/36 - 383*o**2 - 2. Factor q(c).
c*(c - 1)*(c + 2)*(7*c - 2)/6
What is i in -67 - 64/3*i + 1/3*i**2 = 0?
-3, 67
Let k(s) be the second derivative of -s**7/336 - 7*s**6/180 + s**5/20 + 4*s**3 + 3*s**2/2 + 67*s. Let w(j) be the second derivative of k(j). Factor w(l).
-l*(l + 6)*(5*l - 2)/2
Suppose -3*i + 5*p - 1430 = -1489, 4*p = -40. Factor 44/5*c**2 - 144/5 - 4/5*c**i - 96/5*c.
-4*(c - 6)**2*(c + 1)/5
Let h(n) = -19*n**2 + 34*n + 22*n + 3*n**3 - 78*n + 12. Let o be h(20). Factor -95*y**3 - 2178*y**2 - 3*y**4 - o*y - 37*y**3 + 26424 - 70347.
-3*(y + 11)**4
Suppose 4*k = -32 + 52. Determine b so that -8*b - k*b**2 - 2*b**2 - 4*b + 0*b**2 + 4*b**3 - b**2 = 0.
-1, 0, 3
Let t(w) be the second derivative of 38/3*w**3 + w - 7*w**4 + 26 + 4*w**2. What is r in t(r) = 0?
-2/21, 1
Let d(a) be the second derivative of -2*a**7/21 + 4*a**6 + 203*a**5/5 + 152*a**4 + 856*a**3/3 + 288*a**2 + 20*a - 13. What is b in d(b) = 0?
-2, -1, 36
Factor -105*i - 13174 + 6580 + 6765 + 13*i**2 + i**3.
(i - 3)**2*(i + 19)
Suppose -40 = -3*p + 2. Suppose -2*k = 6*t - 3*t - p, -4*t = -2*k. Factor 0*m**4 + 11*m**k - 6*m**3 - 13*m**4.
-2*m**3*(m + 3)
Factor -1/2*s**3 + s**2 + 0 + 0*s.
-s**2*(s - 2)/2
Let f = 3/4327 + 8621/47597. Solve 12/11*k**3 - 2/11*k**2 - 32/11 - 48/11*k - f*k**4 = 0.
-1, 4
Suppose n + 1 = 3*g, 5*n + 21 = 5*g + 36. Let p(l) = l - 1. Let u be p(4). Factor -47*d**2 + g*d**5 + 53*d**2 + u*d - 6*d**4 - 5*d**5.
-3*d*(d - 1)*(d + 1)**3
Let s(q) be the first derivative of q**6/6 - q**5/2 - 5*q**4/12 + 5*q**3/3 + 101*q - 235. Let t(g) be the first derivative of s(g). Factor t(h).
5*h*(h - 2)*(h - 1)*(h + 1)
Let t(p) be the second derivative of -5*p**7/42 + p**6/30 + 17*p**5/2 - 257*p**4/6 + 137*p**3/2 - 63*p**2/2 + 3*p - 105. Let t(i) = 0. What is i?
-7, 1/5, 1, 3
Let t = -402040 - -402045. Determine p so that 408/11*p + 54/11*p**2 - 426/11*p**3 - 222/11*p**4 + 168/11 + 18/11*p**t = 0.
-1, -2/3, 1, 14
What is x in -3*x**3 + 374*x - 2089*x**2 + 474 - 373*x + 1615*x**2 + 2*x**3 = 0?
-474, -1, 1
Let g = -412 - -851/2. Let b = 5715 - 11421/2. Factor b*h**2 + 27/2 + 1/2*h**3 + g*h.
(h + 3)**3/2
Factor 160/9 + 22/9*t - 2/9*t**2.
-2*(t - 16)*(t + 5)/9
Let z(v) be the second derivative of v**5/20 - v**4 - 2*v**3 - 11*v**2/2 + 13*v. Let m be z(13). Factor 8*b + 27*b**3 - 16*b**m - 15*b**3 - 4*b.
4*b*(b - 1)*(3*b - 1)
Let m(o) = -7*o + 68. Let g be m(9). Find a such that -a**5 + 81*a - 320*a**2 - 44*a**g + 27*a + 956*a**2 + 1035*a**3 + 282*a**4 = 0.
-2, -2/5, -1/3, 0, 9
Let z = 2477/7440 - -1/2480. Let c(y) be the first derivative of -1/8*y**4 + 4/9*y**3 - z*y**2 - 14 + 0*y. Let c(g) = 0. What is g?
0, 2/3, 2
Suppose -416*z = -419*z + 2721. Factor -566*w**2 - 82*w**2 + z*w + 72*w**3 - 3888 - 3*w**4 + 1685*w.
-3*(w - 6)**4
Find z, given that 69*z**3 + 36 + 3*z**4 - 32*z + 53*z**2 - 2*z**4 - 149*z**3 + 66*z**3 - 44*z = 0.
1, 2, 9
Let s(p) be the second derivative of p**5/270 - 8*p**4/27 + 256*p**3/27 + 11*p**2 - 56*p. Let g(b) be the first derivative of s(b). Factor g(y).
2*(y - 16)**2/9
Let n = 960721/5 - 192820. Let z = 679 + n. Factor 4/5*x**3 - z - 4*x**2 + 32/5*x.
4*(x - 2)**2*(x - 1)/5
Suppose 5*p - 1 = -t, 49 = 4*t - 2*p + 7*p. Let d(r) be the third derivative of 1/6*r**4 + t*r**2 + 0*r**3 + 0 + 1/15*r**5 + 0*r. What is x in d(x) = 0?
-1, 0
Let p(g) be the first derivative of -1/600*g**6 - 19 + 0*g**3 + 3*g**2 + 1/150*g**5 + 0*g - 1/120*g**4. Let r(j) be the second derivative of p(j). Factor r(h).
-h*(h - 1)**2/5
Suppose -17 - 7 = 12*l. Let u be (l - 1)/54*(-4 - 4). Let 4/9*q**3 + 0*q - u*q**5 + 0 - 4/9*q**4 + 4/9*q**2 = 0. What is q?
-1, 0, 1
Let k(h) be the first derivative of -65*h**2 - 1690*h - 5/6*h**3 - 280. Solve k(y) = 0.
-26
Let d(y) be the third derivative of 11*y**6/240 + 53*y**5/30 + 239*y**4/16 + 15*y**3 + 2*y**2 - 7072*y. What is b in d(b) = 0?
-15, -4, -3/11
Factor 119*j + 237 + 1/4*j**2.
(j + 2)*(j + 474)/4
Let b(z) be the third derivative of z**6/24 + 5*z**5/2 - 165*z**4/8 - 10*z**2 + 130. Factor b(s).
5*s*(s - 3)*(s + 33)
Let f be (112/126)/(6/9)*(-18)/(-48). Let v(a) be the second derivative of 1/6*a**3 - f*a**2 - 1/20*a**5 + 0 + 1/12*a**4 + 21*a. Solve v(t) = 0 for t.
-1, 1
Let y(j) be the second derivative of -5*j**4/24 - 55*j**3/2 - 160*j**2 - 8*j - 45. Factor y(a).
-5*(a + 2)*(a + 64)/2
Let q(p) be the first derivative of 1/6*p**3 + 25/2*p - 14 - 5/2*p**2. Factor q(k).
(k - 5)**2/2
Let l = -65321305/1680624 + -71/50928. Let r = l + 430/11. Factor 8 - 8/3*s + r*s**2.
2*(s - 6)**2/9
Let l(v) be the third derivative of -49*v**6/300 + 7*v**5/50 + 2*v**4/5 + 4*v**3/15 + 199*v**2. Suppose l(r) = 0. Calculate r.
-2/7, 1
Let v(w) = -13*w**2 - 1485*w - 596. Let u(q) = 207*q**2 + 23757*q + 9537. Let c(p) = -2*u(p) - 33*v(p). Suppose c(g) = 0. What is g?
-99, -2/5
Let f(y) be the third derivative of -y**6/660 - 3*y**5/110 + y**4/132 + 3*y**3/11 - 343*y**2 + 1. Determine u, given that f(u) = 0.
-9, -1, 1
Let m(n) be the second derivative of 5/16*n**4 + 0*n**2 + 0 + 1/4*n**3 + 49*n + 1/40*n**6 + 3/20*n**5. Find l such that m(l) = 0.
-2, -1, 0
Let y be 5/((((-225)/10)/(-9))/1). Find n such that 30*n**3 + 2*n**5 + 6*n**4 + 0*n**5 - 17*n**4 - 3*n**4 - 18*n**y = 0.
0, 1, 3
Suppose -2*y + 44 = -15*p + 13*p, -64 = -15*y + p. Suppose 1/6*w**4 + 4*w**2 - 5/3*w**y - 11/3*w + 7/6 = 0. What is w?
1, 7
Let c be (-26)/(-585)*522 - -16. Factor c + 28/5*o + 1/5*o**2.
(o + 14)**2/5
Determine l so that 144 + 12*l**3 + 1644/7*l + 724/7*l**2 - 4/7*l**4 = 0.
-3, -1, 28
Let q(g) be the first derivative of g**6/36 + 33*g**5/10 + 823*g**4/12 + 578*g**3 + 2178*g**2 + 2880*g - 331. Factor q(j).
(j + 1)*(j + 6)**3*(j + 80)/6
Let c(u) be the first derivative of 0*u**2 + 2/15*u**5 + 17*u - 2/45*u**6 + 18 + 0*u**3 - 1/9*u**4. Let o(l) be the first derivative of c(l). Solve o(k) = 0.
0, 1
Let c(a) be the second derivative of 3/20*a**5 - 2 + 7*a**4 - 58*a + 98*a**3 + 0*a**2. Factor c(g).
3*g*(g + 14)**2
Let f(u) be the second derivative of u**6/360 - u**5/60 - 5*u**4/8 - 53*u**3/6 - u - 6. Let k(r) be the second derivative of f(r). Factor k(o).
(o - 5)*(o + 3)
Let j be ((-1)/84*-24)/(3 - (-330)/(-112)). Let q(m) be the second derivative of -36*m + 1/3*m**4 + 0*m**2 + 0 + j*m**3. Factor q(x).
4*x*(x + 8)
Factor -423/7 + 1137/7*x - 24/7*x**2.
-3*(x - 47)*(8*x - 3)/7
Let v = 1458993 + -10212949/7. Factor -176/7*t**2 - 384/7*t - v*t**4 - 288/7 - 32/7*t**3.
-2*(t + 2)**2*(t + 6)**2/7
Let s = 4207159/134845 + 1/26969. Suppose -2/5*k**2 - 82/5*k - s = 0. Calculate k.
-39, -2
Let u = -17502 + 17505. Factor 2/3*g**4 - 16/3*g - 8/3 - 2*g**2 + 4/3*g**u.
2*(g - 2)*(g + 1)**2*(g + 2)/3
Let f be 1 + (-4)/6 - (-742)/(-21). Let n = f - -104. Let -n + 36*i**2 - 150*i + 569 + 50*i - 31*i**2 = 0. Calculate i.
10
Suppose 8/5 - 34/5*h - 29/5*h**2 - h**3 = 0. What is h?
-4, -2, 1/5
Factor 1528/3*j - 2/3*j**2 - 291848/3.
-2*(j - 382)**2/3
Determine u so that -56/5*u**3 + 124/5*u + 74/5*u**2 + 0 - 