*3 + 1451. Let i(l) = 0. Calculate l.
0, 2/37, 1/3
Let u be 3207/33 + (-62)/341. Factor 11*l**3 + u*l**4 + 9 - 3 + 22*l**2 + 94*l**4 - 189*l**4 + 19*l.
(l + 1)**2*(l + 2)*(2*l + 3)
Suppose 0 = l + 3*f - 42, l = -405*f + 401*f + 55. Factor -3/2*u**2 - l + 19/2*u.
-(u - 6)*(3*u - 1)/2
Suppose 14*h = 2*h + 9 + 15. Let o(g) be the first derivative of -3/2*g**2 - h*g - 1/3*g**3 + 24. Find y such that o(y) = 0.
-2, -1
Suppose -5*u = -6*i + 3*i + 15, 0 = -4*i + u + 3. Let p be (9/7 + -1)/((-5)/(-35)). Factor 4*t**p + i*t**3 + 0*t**3 + t**4 - 5*t**4.
-4*t**2*(t - 1)*(t + 1)
Let l(b) be the third derivative of 0*b - 1/300*b**6 + 22*b**2 + 0 + 0*b**4 + 0*b**3 - 1/15*b**5. Let l(y) = 0. What is y?
-10, 0
Suppose -4*n + 22 = 7*n. Factor -n*l**3 + 2*l**5 + 11*l**2 - l**2 - 326*l**4 + 316*l**4.
2*l**2*(l - 5)*(l - 1)*(l + 1)
Let j(c) be the first derivative of 9*c**5/5 + 69*c**4/4 - 49*c**3 - 369*c**2/2 - 162*c + 3532. Suppose j(o) = 0. Calculate o.
-9, -1, -2/3, 3
Let d(y) = y**3 - 6*y**2 - 6*y - 2. Let w be d(7). Let c(k) = -k**2 + 14*k - 14. Let s be c(12). Suppose 1 - w*n + 10*n - s*n**2 + 4 = 0. Calculate n.
-1/2, 1
Let k = 1/1305 - -26093/9135. Let c be 14/4*1 - 3/(-2). Factor -v + k*v**2 + 1/7*v**c + 0 - 18/7*v**3 + 4/7*v**4.
v*(v - 1)**3*(v + 7)/7
Let b = -1598 + 2671. Suppose 16*m = 5*r + 15*m - 5417, -r - 5*m = -b. Factor 2*c**2 + r*c - 4*c**2 - 1085*c.
-2*c*(c + 1)
Let r(t) = -t**3 + 5*t**2 + 7*t + 10. Let m be r(6). Let o be 15 + -9 - 88/m. Factor a**3 - 1/2*a**2 + 0 + o*a**4 - a.
a*(a - 1)*(a + 1)*(a + 2)/2
Let m(a) be the second derivative of -1/75*a**6 + 0 - 74*a + 0*a**2 - 4/15*a**4 - 4/15*a**3 - 1/10*a**5. Factor m(u).
-2*u*(u + 1)*(u + 2)**2/5
Let m(j) be the first derivative of 0*j**2 + 2 + 0*j**4 - 7*j + 1/6*j**3 - 1/20*j**5. Let h(t) be the first derivative of m(t). Factor h(k).
-k*(k - 1)*(k + 1)
Let k be (-6 - -7)/((-2)/(-6)*1). Suppose -2 + 0 - 6300*h**k - 960*h**2 + 57*h + 155*h - 6 = 0. What is h?
-2/7, 1/15
Let u(i) be the second derivative of 9*i**5/20 - 31*i**4/4 + 36*i**3 - 66*i**2 - 284*i - 4. Factor u(n).
3*(n - 2)*(n - 1)*(3*n - 22)
Factor -176040*m**3 + 1331*m**2 + 4370*m + 176026*m**3 - 972 - 4715*m**2.
-2*(m - 1)*(m + 243)*(7*m - 2)
Let z(x) be the first derivative of -1/2*x - 24 + 1/6*x**2 + 1/18*x**3. Find n such that z(n) = 0.
-3, 1
Let r(n) be the second derivative of 3*n**5/20 + 13*n**4/2 - 149*n**3/2 + 279*n**2 + 11628*n. Factor r(y).
3*(y - 3)*(y - 2)*(y + 31)
Let a = 443 - 441. Let n be 7/a*(-390)/(-91). Let 10/3*c + n*c**2 - 15*c**4 + 0 - 35/3*c**5 + 25/3*c**3 = 0. What is c?
-1, -2/7, 0, 1
Let p(b) be the first derivative of b**5/330 + 5*b**4/44 - 17*b**2/2 + 2*b + 12. Let v(f) be the second derivative of p(f). Let v(n) = 0. Calculate n.
-15, 0
Suppose 0 = 5362*t - 3945*t. Let -1/9*i**4 - 4/9*i + 7/9*i**2 + t - 2/9*i**3 = 0. Calculate i.
-4, 0, 1
Let w = -40 - -128. Solve 58 + 60*i - w*i**2 + 6*i**2 + 84*i**2 = 0.
-29, -1
Suppose 120*l - 600 = -43*l - 37*l. Let a(t) be the third derivative of -1/270*t**5 + 0 - 1/540*t**6 + 0*t**l + 37*t**2 + 1/54*t**4 + 0*t. Factor a(u).
-2*u*(u - 1)*(u + 2)/9
Let v = -1485/2 + 767. Let z be -7 + ((-648)/8)/(-9). Factor -1/2*w**z + 7*w - v.
-(w - 7)**2/2
Let h(q) be the first derivative of -1/2*q**2 + 91 + 1/30*q**3 + 0*q. Factor h(t).
t*(t - 10)/10
Let b(l) = l + 70. Let q be b(12). Let t = 576/7 - q. Factor -4/7*h + 0 - t*h**3 - 6/7*h**2.
-2*h*(h + 1)*(h + 2)/7
Let j be (2/4 - 1)*(81 + -431). Find g such that 62*g**2 + 60*g**2 - j*g**2 - 292*g + 57*g**2 = 0.
0, 73
Let w(s) = 4*s**2 + 6*s - 8. Let q(z) be the second derivative of -z**4/12 + z - 9. Let h(o) = -2*q(o) - w(o). Find n such that h(n) = 0.
-4, 1
Factor 21/8*c**2 + 0 - 291/8*c.
3*c*(7*c - 97)/8
Let g be 32/2 + 6/(-3). Suppose 90 = 17*k - g*k. Solve -20*r**2 + k*r - 12 + 5*r - 7*r + 4*r**3 = 0.
1, 3
Let j(b) be the third derivative of -b**6/840 - 3*b**5/140 - 9*b**4/56 - 9*b**3/14 - 18*b**2. Factor j(s).
-(s + 3)**3/7
Let w(p) be the first derivative of 3*p**5/10 - 289*p**4/8 + 572*p**3/9 - 95*p**2/3 - 317. Factor w(n).
n*(n - 95)*(3*n - 2)**2/6
Let c(y) be the first derivative of -5*y**3/3 - 505*y**2/2 + 510*y - 10126. Find r such that c(r) = 0.
-102, 1
Let z(q) be the first derivative of -q**4/2 + 212*q**3/3 - 2809*q**2 - 4297. Solve z(t) = 0 for t.
0, 53
Let d(n) = n**3 + n**2 - 4*n - 2. Let f(s) = -5*s**3 - 24*s**2 - 12*s + 152. Let u(r) = 4*d(r) + f(r). Factor u(j).
-(j - 2)*(j + 4)*(j + 18)
Factor 204/5*v**2 + 0 - 2/15*v**3 + 0*v.
-2*v**2*(v - 306)/15
Let c be 5 - (-11)/(1452/(-3540)). Let a = 535/22 + c. Factor a*n**2 + 405/2 - 45*n.
5*(n - 9)**2/2
Solve 33*u**2 + 6*u**3 + 19200*u - 643*u**2 - 36000 + 15*u**3 - 16*u**3 = 0.
2, 60
Let k = 92 - 89. Let -20 + 28 - 61*t**2 + 23*t**k + 53*t**4 - 664*t**5 - 34*t + 675*t**5 = 0. Calculate t.
-4, -1, 2/11, 1
Suppose -3*l - 6 = -0*l. Let t be l/5*90/(-9). Factor -44*s**4 + 48*s**t - 3*s**2 + s**3 + 0*s**3 - s**5 - s**2.
-s**2*(s - 4)*(s - 1)*(s + 1)
Let b(f) = f**3 + 48*f**2 - 48*f + 51. Let n(v) = -56*v - 49. Let h be n(0). Let k be b(h). Factor 9/5*m + 6/5 + 3/5*m**k.
3*(m + 1)*(m + 2)/5
Let s = -6113 + 6113. Determine f, given that -4/3*f**3 + s + 4/3*f**2 + 0*f = 0.
0, 1
Let g(q) = 17*q**3 + q**2 - 3*q - 13. Let y(r) = -4*r**3 + r + 3. Let h = 208 + -214. Let n(d) = h*g(d) - 26*y(d). Determine l so that n(l) = 0.
-1, 0, 4
Suppose 3*o + 4 = -4*v, 3*v = 5*o + 4*v - 16. Factor 0*l + 4/7*l**2 + 8/7*l**3 + 1/7*l**5 + 0 + 5/7*l**o.
l**2*(l + 1)*(l + 2)**2/7
Let 37/4*n**2 + 1/4*n**5 - 73/4*n**3 + 0*n + 0 + 35/4*n**4 = 0. What is n?
-37, 0, 1
Suppose -6 = -2*x - 2*u, -3*u = -4*x - 7 - 2. Suppose 4*h - 34 = -2*b + 5*h, x = 5*b - 3*h - 86. Solve 4*l**2 - b*l**2 + 8*l**2 + 5*l**2 + 4 + 4*l = 0.
-2
Let x(h) be the third derivative of -h**8/28 - 422*h**7/105 - 7*h**6/3 - 176*h**2 - 1. Let x(o) = 0. Calculate o.
-70, -1/3, 0
Let f(c) be the first derivative of c**4/10 - 352*c**3/5 + 13833*c**2 + 56180*c - 3958. Factor f(d).
2*(d - 265)**2*(d + 2)/5
Let z(f) = -4*f**2 + 14*f - 27. Let o(a) = 11*a**2 - 41*a + 82. Let u(b) = -3*o(b) - 8*z(b). Let d be u(6). Factor 4/7*t + 1/7*t**2 + d.
t*(t + 4)/7
Let q be (((-2008)/(-1255))/((-2)/5*1))/((-5)/2). Factor 32/5 + q*w + 1/10*w**2.
(w + 8)**2/10
Let d(s) = -s**2 + 83*s - 530. Let f be d(76). Let o(q) be the second derivative of -2 + 2*q - 1/18*q**4 + 0*q**f + q**3. Factor o(u).
-2*u*(u - 9)/3
Suppose -4*k + 39 = i + 18, -2*k - 4*i = -56. Suppose -27/4*o + 27/4 + 3/4*o**3 - 3/4*o**k = 0. What is o?
-3, 1, 3
Suppose -3*v + 0*v = -n - v + 33, -4*v - 60 = 0. Factor 16/7*i**4 + 0 + 0*i + 52/7*i**n + 36/7*i**2.
4*i**2*(i + 1)*(4*i + 9)/7
Suppose -120 = -131*g + 116*g. Let r be g + (-4 - (5 + -3)). Find n such that 5/9*n - 1/9*n**r + 2/3 = 0.
-1, 6
Suppose 244*q - 109*q - 2*q**2 + 7*q**2 - 50*q + 350 = 0. Calculate q.
-10, -7
Let h(u) be the first derivative of u**5/18 + 7*u**4/36 + 2*u**3/9 - 71*u**2/2 - 178. Let t(c) be the second derivative of h(c). Determine f so that t(f) = 0.
-1, -2/5
Let p(b) be the second derivative of -5*b**4/12 + 15*b**3/2 + 55*b**2 - 4819*b. Factor p(r).
-5*(r - 11)*(r + 2)
Suppose -s = -17*r + 14*r - 15, 4*r = -20. Let o(k) be the third derivative of 0*k + 1/390*k**5 + 1/78*k**4 - 15*k**2 - 1/13*k**3 + s. Factor o(n).
2*(n - 1)*(n + 3)/13
Let m = -246 - -251. Let k(s) = -s**3 - 48*s**2 + 180*s - 200. Let r(t) = t**3 + 72*t**2 - 270*t + 300. Let q(h) = m*r(h) + 7*k(h). Factor q(l).
-2*(l - 5)**2*(l - 2)
Let d(w) be the second derivative of -2*w**6/105 - 39*w**5/35 - 69*w**4/7 - 198*w**3/7 - 503*w - 2. Solve d(h) = 0.
-33, -3, 0
Let v(p) be the first derivative of 0*p + 7/2*p**3 - 68 + 1/2*p**4 + 5/4*p**2. Factor v(q).
q*(q + 5)*(4*q + 1)/2
Let i(s) = 3*s**3 - 131*s**2 + 4853*s - 27775. Let h(k) = -19*k**3 + 785*k**2 - 29119*k + 166646. Let r(o) = -4*h(o) - 26*i(o). Factor r(g).
-2*(g - 63)**2*(g - 7)
Suppose -3*f + 24 = -0. Let m be 180/25 - f - (-14)/5. Factor 0 - 18/7*i**3 - 4/7*i - 2/7*i**5 - 10/7*i**4 - 2*i**m.
-2*i*(i + 1)**3*(i + 2)/7
Let y(s) be the first derivative of -2*s**5/35 + 19*s**4/14 - 160*s**3/21 - 100*s**2/7 + 155. Find x such that y(x) = 0.
-1, 0, 10
Let m(b) be the first derivative of -b**4 + 304*b**3/3 - 3658*b**2 + 53816*b + 6138. Factor m(g).
-4*(g - 31)**2*(g - 14)
Find y, given that -158/