04 + 31*u**7/315 + 67*u**6/90 + 103*u**5/45 + 139*u**4/36 + 35*u**3/9 - 131*u**2 + 9. Let j(m) = 0. What is m?
-1, 35
Let m(b) = -23*b**3 - 8700*b**2 - 1572329*b + 1581228. Let q(x) = -6*x**3 - 2175*x**2 - 393078*x + 395307. Let a(g) = 3*m(g) - 11*q(g). Let a(f) = 0. What is f?
-363, 1
Let a(l) be the third derivative of -l**7/6 - 5*l**6/3 + 61*l**5/12 - 35*l**4/12 - 602*l**2. Solve a(k) = 0 for k.
-7, 0, 2/7, 1
Factor 2256/5*n - 636192/5 - 2/5*n**2.
-2*(n - 564)**2/5
Let f = 10 + -9. Let r(b) = 2*b**2 - 1. Let t(j) = 6*j**2 + 8*j - 2. Let h(k) = f*t(k) - 2*r(k). Factor h(q).
2*q*(q + 4)
Let q(t) be the first derivative of 2*t**3/3 - 67*t**2 + 132*t - 627. Factor q(r).
2*(r - 66)*(r - 1)
Suppose -2*d + 852 = -y + 3*d, -2*y + 4*d - 1710 = 0. Let t = -853 - y. What is h in -8/9*h + 2/3*h**t - 2/9 + 8/9*h**3 - 4/9*h**2 = 0?
-1, -1/3, 1
Suppose -14*h**2 + 69*h**3 + h**2 - 10 - 9*h**3 + 3*h**2 - 55*h + 15*h**3 = 0. Calculate h.
-2/3, -1/5, 1
Suppose 8*a - 4*a - 703 = -15*a. Let v(m) be the first derivative of -2/15*m**3 - a + 0*m + 2/5*m**2. Factor v(j).
-2*j*(j - 2)/5
Let t(o) = 4*o**3 + 721*o**2 + 15*o + 5. Let m(x) = 2*x**3 + 360*x**2 + 6*x + 2. Let s(c) = 5*m(c) - 2*t(c). Factor s(f).
2*f**2*(f + 179)
Let y(n) = -7*n**2 - 38*n - 107. Let s(a) = 38*a**2 + 190*a + 536. Let i(t) = 4*s(t) + 22*y(t). Suppose i(k) = 0. What is k?
-35, -3
Let n(m) be the third derivative of -m**8/4480 + m**7/2240 - 31*m**3 - 333*m**2. Let r(i) be the first derivative of n(i). Find k, given that r(k) = 0.
0, 1
Let c(s) be the second derivative of s**5/150 + 5*s**4/2 + 296*s**3/15 + 884*s**2/15 + 20*s + 17. Factor c(x).
2*(x + 2)**2*(x + 221)/15
Let h(t) be the first derivative of -4*t**3 + 7/10*t**4 + 36/5*t**2 - 16/5*t + 157. Factor h(m).
2*(m - 2)**2*(7*m - 2)/5
Let n(u) = -5*u**3 + 1040*u**2 + 2030*u + 1010. Let p(j) = 7*j**2 + j - 1. Let i(t) = n(t) - 5*p(t). Solve i(m) = 0 for m.
-1, 203
Let k(b) = -2*b**3 - b. Let r(x) be the third derivative of x**6/20 + x**5/5 - 5*x**4/4 + 25*x**2. Let j(s) = 2*k(s) + r(s). Let j(n) = 0. Calculate n.
-8, 0, 2
Let -2/5*a**2 - 5759618/5 + 6788/5*a = 0. Calculate a.
1697
Let r(z) be the first derivative of 5*z**4/12 - 155*z**3/3 + 4805*z**2/2 + 32*z - 41. Let l(j) be the first derivative of r(j). Factor l(c).
5*(c - 31)**2
Let y be (8/(-6)*-3)/2. Suppose 5*h = y*h + 9. Factor u**2 + u**3 + 6*u**3 - h*u**3 + 3*u**2.
4*u**2*(u + 1)
Let i be -266 + 269 - ((-3)/1 + -1). Suppose -16*a + 14*a + i*a**4 + 15*a - 19*a**2 - 3*a**3 + a**5 + a = 0. Calculate a.
-7, -2, 0, 1
Let w = -63726 + 191210/3. Factor 20/3*a**2 - 4/3*a**3 - w*a + 16/3.
-4*(a - 2)**2*(a - 1)/3
Let r(j) be the first derivative of j**3/6 + 791*j**2/4 + 395*j + 8114. Factor r(b).
(b + 1)*(b + 790)/2
Let h(j) be the third derivative of 1/20*j**6 + 1/42*j**7 + 0*j + 169*j**2 - 1/15*j**5 - 1/4*j**4 - 1/6*j**3 + 0. Let h(m) = 0. What is m?
-1, -1/5, 1
Let h(z) be the third derivative of z**8/336 - z**7/105 - 29*z**6/60 - 49*z**5/15 - 77*z**4/8 - 15*z**3 + 3*z**2 + 255. Factor h(m).
(m - 10)*(m + 1)**2*(m + 3)**2
Let n(j) = -j**2 + 39*j + 3. Let w(t) = -t**2 - 20*t + 3. Let d be w(-18). Let p be n(d). Solve 0 - p*x - 15/2*x**2 = 0 for x.
-2/5, 0
Let u be 390*(-7)/(-5)*4. Let s be (-1)/3*u/(-637). Find t such that 0 - 2/7*t**4 + s*t - 8/7*t**3 + 2/7*t**2 = 0.
-4, -1, 0, 1
Let r(l) be the first derivative of -l**6/40 - 3*l**5/20 + l**4/2 - 43*l**2/2 + 1. Let b(d) be the second derivative of r(d). Factor b(c).
-3*c*(c - 1)*(c + 4)
Let r = -11583 - -2779921/240. Let a(u) be the third derivative of -r*u**5 + 0 - 1/12*u**4 - 2/3*u**3 + 34*u**2 + 0*u. Find s such that a(s) = 0.
-4
What is w in 2/7*w**3 + 242/7*w**2 - 242/7 - 2/7*w = 0?
-121, -1, 1
Let b(r) = -r + 9. Let t be b(6). Let w be -3 + 4 + (7 - 1 - t). What is x in -3*x**w - x**4 + 3*x**4 + 2*x**2 - 2*x + 2*x**3 - x**4 = 0?
-1, 0, 1
Let o be 6/12*1512/891 - (-4)/(-22). Let -o - 3*f**2 - 7/3*f - 5/3*f**3 - 1/3*f**4 = 0. Calculate f.
-2, -1
Let r(i) be the third derivative of -11/45*i**5 - 36*i**3 - 17/4*i**4 - 1 - 1/180*i**6 + 69*i**2 + 0*i. Factor r(j).
-2*(j + 4)*(j + 9)**2/3
Let o(g) be the first derivative of 4*g**3/3 + 68*g**2 + 132*g - 591. Suppose o(w) = 0. Calculate w.
-33, -1
Factor -11 + 15*k + 21*k**2 - 15*k**3 - 9 + 2 - 3*k**4.
-3*(k - 1)**2*(k + 1)*(k + 6)
Let v be ((117/520*8)/(3/(-1)))/((-9)/12). Let b = 0 - -2. Solve v*j**b - 16/5*j + 16/5 = 0.
2
Let r(g) be the first derivative of -g**6/90 + 2*g**5/15 - 2*g**4/3 + g**3/3 + 4*g**2 + 149. Let b(s) be the third derivative of r(s). Factor b(m).
-4*(m - 2)**2
Let h(v) be the second derivative of 1/195*v**6 - 2/13*v**3 + 68 + 11/78*v**4 - 2*v + 0*v**2 - 3/65*v**5. Factor h(y).
2*y*(y - 3)*(y - 2)*(y - 1)/13
Let q(h) be the second derivative of -h**5/60 - 11*h**4/8 - 147*h**2/2 + 97*h. Let r(m) be the first derivative of q(m). Solve r(p) = 0.
-33, 0
Let y be 123 - 123 - (0 + 0). Let s(v) be the second derivative of -1/6*v**2 + y + 5*v - 1/36*v**3 + 1/72*v**4. Determine p, given that s(p) = 0.
-1, 2
Let a = 13 + 46. Let h = -56 + a. Factor -6*u**3 + 4*u**h - u**3 + 3*u.
-3*u*(u - 1)*(u + 1)
Let a be -7 + (1 + -1)*10/40. Let r be 4*a/(-168)*2. Factor -r*z**2 - z + 0.
-z*(z + 3)/3
Let d(l) = -6*l**4 - 5*l**3 + 6*l**2 - l - 2. Let f(i) = -i**4 - 2*i**3 + i + 1. Let y(g) = -25*g + 99. Let k be y(4). Let u(r) = k*d(r) + 4*f(r). Factor u(v).
(v - 2)*(v + 1)**2*(2*v - 3)
Let n(w) = 5*w**2 + 9*w + 7. Let z(h) = -5*h**2 - h + 1. Let s(r) = -27*r**2 - 6*r + 5. Let y(u) = -2*s(u) + 11*z(u). Let v(d) = n(d) + 3*y(d). Factor v(m).
2*(m + 1)*(m + 5)
Suppose 36 = 1663*d - 1669*d. Let z be ((-442)/4641)/(d/28). Determine f, given that -z*f**3 + 0*f**2 + 0 - 2/9*f**5 + 0*f + 2/3*f**4 = 0.
0, 1, 2
Let t(p) be the second derivative of -p**8/3360 - p**7/252 - p**6/90 - 49*p**4/12 + p**3/6 + 23*p. Let h(c) be the third derivative of t(c). Factor h(g).
-2*g*(g + 1)*(g + 4)
Factor -25*c + 31 + 62 - 12*c**2 + 5*c**3 + 2*c**2 - 63.
5*(c - 3)*(c - 1)*(c + 2)
Suppose -2*a + 12 = 3*u, 2 = -5*u + 2*a + 6. Let 55*r**3 + 47*r - 24*r**u - 107 - 53*r**3 + 49*r - 21 = 0. Calculate r.
4
Let h(j) be the third derivative of -j**7/280 + j**6/12 - 17*j**5/40 + j**4 - 37*j**3/3 + j**2 + 5. Let w(u) be the first derivative of h(u). Factor w(t).
-3*(t - 8)*(t - 1)**2
Let i be 30/(-35)*826/(-531). Factor -2/3 + i*b**2 + 2/3*b.
2*(b + 1)*(2*b - 1)/3
Suppose -212*s + 313 = 313. Suppose -8/7*p**3 + s*p**2 + 4/7*p**4 + 8/7*p - 4/7 = 0. Calculate p.
-1, 1
Let u(q) = -16*q**3 - 159*q**2 - 750*q - 607. Let n(j) = 9*j**3 + 81*j**2 + 375*j + 303. Let a(m) = -5*n(m) - 3*u(m). Factor a(v).
3*(v + 1)*(v + 6)*(v + 17)
Let z(j) = -j**2 + 501*j + 2530. Let q be z(-5). Factor -2/15*g**3 + q - 10/3*g - 4/3*g**2.
-2*g*(g + 5)**2/15
Suppose -1970*n + 72 = -983*n - 969*n. Factor -32/5 + 156/5*b + n*b**2.
4*(b + 8)*(5*b - 1)/5
Let w(l) be the third derivative of 1/12*l**5 + 0 + 3*l**2 - 4*l + 5/6*l**4 - 25/6*l**3. Factor w(v).
5*(v - 1)*(v + 5)
Let v(b) be the third derivative of -5*b**8/2016 - 19*b**7/1260 - b**6/60 + 1690*b**2. Determine t so that v(t) = 0.
-3, -4/5, 0
Let r(d) = -d**4 + d**3 - d. Suppose 7 = 5*o - 2*u, 0*u + 2 = -2*u. Let z(q) = -3*q**4 - 2*q**3 + 18*q**2 - 22*q + 7. Let g(h) = o*z(h) - 2*r(h). Factor g(t).
-(t - 1)**3*(t + 7)
Let b be (-128)/(-24) + -5 - ((-2)/(-6) + 0). Let s(c) be the third derivative of 28*c**2 + 0*c - 16/3*c**3 - 1/30*c**5 + b + 2/3*c**4. Factor s(f).
-2*(f - 4)**2
Let r(x) = -2*x**3 - 14*x**2 + 22*x - 10. Let b be ((-360)/28)/3 + 4/14. Let q(p) = -p**3. Let l(s) = b*q(s) + r(s). Factor l(m).
2*(m - 5)*(m - 1)**2
Let x = 497 + -489. Let w = 2 - 0. Determine r so that 0*r**2 - 3*r**3 - 3*r + 2*r**w + x*r**2 = 0.
0, 1/3, 3
Let h(w) be the third derivative of w**7/1260 + 37*w**6/720 + 131*w**5/120 + 935*w**4/144 + 289*w**3/18 - 151*w**2. Factor h(j).
(j + 1)*(j + 2)*(j + 17)**2/6
Factor -2 + 2/15*r**2 + 4/15*r.
2*(r - 3)*(r + 5)/15
Suppose 4*q + 5 = g, 2721*q - 3*g = 2724*q - 45. Let -5408/9 + 208/9*m - 2/9*m**q = 0. What is m?
52
Suppose 11*m = 10*m + 107. Let o = m + -71. Find f such that -7*f**2 - o + 5*f**2 + 24*f - 36 = 0.
6
Let b(l) be the third derivative of -l**5/60 - 65*l**4/12 - 84*l**3 + 3185*l**2 - 2. Factor b(h).
-(h + 4)*(h + 126)
Let t(f) be the second derivative of 2*f**6/